Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport | Paper Citation Record

Observation 33d52b2f-7269-4a3e-9b44-39b7dd66d057 · outbound

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 1

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Observation 04e7adb2-85ed-4028-9c4a-4518a2e5154c · outbound

This paper cites Compared with the Toda lattice, the second derivative with respect to time is replaced by partial derivatives with respect to the two independent variables(z,¯z).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Compared with the Toda lattice, the second derivative with respect to time is replaced by partial derivatives with respect to the two independent variables(z,¯z)

Reference 2

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 3

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Observation 9ac7d2be-d560-43c1-afb2-f6b4278d2f72 · outbound

This paper cites These variables obey [14, 15]: ∂¯zan =b 2 n −b 2 n+1,(A21) ∂zb2 n = (an−1 −a n)b2 n.(A22) Thefirstequationholdsfor0≤n≤D−1, andthesecond for1≤n≤D−1.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport These variables obey [14, 15]: ∂¯zan =b 2 n −b 2 n+1,(A21) ∂zb2 n = (an−1 −a n)b2 n.(A22) Thefirstequationholdsfor0≤n≤D−1, andthesecond for1≤n≤D−1

Reference 4

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 5

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Observation b1dc3788-227c-4d4d-8023-6d0901274867 · outbound

This paper cites The condition prevents Arnoldi breakdown forn < N−1and yields a complete unitary transfor- mation [9, 10].

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport The condition prevents Arnoldi breakdown forn < N−1and yields a complete unitary transfor- mation [9, 10]

Reference 6

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Observation d21a2f6c-8f75-42a4-855e-7053eb40bec5 · outbound

This paper cites , n−1, set hm,n ← ⟨um|H|un⟩.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport , n−1, set hm,n ← ⟨um|H|un⟩

Reference 7

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Observation 27a92723-a07f-49e4-95f3-f671b77048f7 · outbound

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 8

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Observation 3dabfdf0-6292-4713-b604-7ed80d9bf824 · outbound

This paper cites Output: U= (|u 0⟩,|u 1⟩,.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Output: U= (|u 0⟩,|u 1⟩,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.202068Z

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Observation c970dd57-3817-4dd6-bd31-a50460177d6c · outbound

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 10

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Observation a51beb35-daa2-4880-ac74-464610c962f7 · outbound

This paper cites For a normal matrix, the distance from a Ritz value to the spectrum of the original matrix is bounded above by the residual norm of the corresponding Ritz vector [10].

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport For a normal matrix, the distance from a Ritz value to the spectrum of the original matrix is bounded above by the residual norm of the corresponding Ritz vector [10]

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.189358Z

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Observation 82d5d4de-8595-4b31-a0f4-f02f30513344 · outbound

This paper cites We assume that its eigenvalues are nondegener- ate over the time interval of interest.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport We assume that its eigenvalues are nondegener- ate over the time interval of interest

Reference 12

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Observation 0f546293-7ddb-4ff3-b161-23c2636aede3 · outbound

This paper cites For Hcd =G, an eigenstate initialized ats= 0evolves exactly as Ψ(G) n (s) E = e−i R s 0 ds′ En(s′) |n(s)⟩.(C16) In general, the eigenvalues also depend ons.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport For Hcd =G, an eigenstate initialized ats= 0evolves exactly as Ψ(G) n (s) E = e−i R s 0 ds′ En(s′) |n(s)⟩.(C16) In general, the eigenvalues also depend ons

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.174874Z

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Observation d9d103d8-5ad6-4f67-9dc2-a5f6af838e0b · outbound

This paper cites For a non-Hermitian system, right and left eigenstates must be treatedseparately [54,55].

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport For a non-Hermitian system, right and left eigenstates must be treatedseparately [54,55]

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.167772Z

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Observation a0af4512-4748-4f9d-8153-628a64ccd80b · outbound

This paper cites ,Hn−1 |ψ⟩ ∈C D×n.(D1) The full matrix satisfiesKD(z) = e−zHKD(0).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport ,Hn−1 |ψ⟩ ∈C D×n.(D1) The full matrix satisfiesKD(z) = e−zHKD(0)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.160245Z

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Observation 25974170-9838-4bc9-86cb-9291bca39a97 · outbound

This paper cites (D9) byU † from the left and byR −1 from the right, and then using Eq.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport (D9) byU † from the left and byR −1 from the right, and then using Eq

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.152913Z

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Observation d562ad13-9948-42fb-9bfe-96c6db4bb3a7 · outbound

This paper cites We denote the point defined by a nonzero vector|ψ⟩ by[ψ] := span (|ψ⟩).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport We denote the point defined by a nonzero vector|ψ⟩ by[ψ] := span (|ψ⟩)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.144775Z

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Observation cab9cd7d-45e4-48c6-bdd7-0ff3b2947882 · outbound

This paper cites A holomorphic and invertible change of basisV7→VG adds onlyln |det (G)|2 toK Gr, so the metric is inde- pendent of the choice of basis.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport A holomorphic and invertible change of basisV7→VG adds onlyln |det (G)|2 toK Gr, so the metric is inde- pendent of the choice of basis

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.137311Z

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Observation 88063902-4675-4464-9eb4-031e7744e8a2 · outbound

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:24.129873Z

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Observation 686d162f-a437-46ed-bbc3-af111ac4e8bd · outbound

This paper cites The link between layers nandn+ 1isb 2 n+1 = exp Vn+ 1 2 = exp (ϕn+1 −ϕ n).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport The link between layers nandn+ 1isb 2 n+1 = exp Vn+ 1 2 = exp (ϕn+1 −ϕ n)

Reference 20

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Observation b87f4c2b-307a-407f-bc00-15083ca41c18 · outbound

This paper cites Applying Stokes’ theorem to Eq.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Applying Stokes’ theorem to Eq

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.114280Z

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Observation 0d41274d-9340-4e2c-8392-c6960a9a3ad6 · outbound

This paper cites For1≤n≤ D, define the circular mean of the cumulative potentialPn−1 m=0 ϕm = ln (τn)in Eq.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport For1≤n≤ D, define the circular mean of the cumulative potentialPn−1 m=0 ϕm = ln (τn)in Eq

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.107325Z

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Observation 3edf1e94-2540-405d-b808-75dd13194a7a · outbound

This paper cites Hochbruck and C.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Hochbruck and C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.100061Z

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Observation 238d6647-8875-4877-b3d6-c567f2080ff0 · outbound

This paper cites Quantum Dynamics in Krylov Space: Methods and Applications.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Quantum Dynamics in Krylov Space: Methods and Applications

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.487183Z

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Observation 939e1ab9-b481-4f78-a8bc-21b1b0b5a721 · outbound

This paper cites A Universal Operator Growth Hypothesis.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport A Universal Operator Growth Hypothesis

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.490551Z

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Observation 10270bf2-6e32-473e-b6ea-93e130ce1f21 · outbound

This paper cites Rabinovici, A.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Rabinovici, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.092874Z

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Observation f510c080-ae0b-4983-b958-a91a24f923ad · outbound

This paper cites Shortcuts to Adiabaticity in Krylov Space.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Shortcuts to Adiabaticity in Krylov Space

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.830668Z

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Observation 289617b4-7e81-4047-9145-8dbc33f5bb7b · outbound

This paper cites Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.499751Z

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Observation f57ecac2-68b4-43fa-8101-3ba38a985b6e · outbound

This paper cites Lanczos, Journal of Research of the National Bureau of Standards45, 255 (1950).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Lanczos, Journal of Research of the National Bureau of Standards45, 255 (1950)

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.503407Z

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Observation 5c2f65f6-e709-4084-bf28-454daf68d6b9 · outbound

This paper cites Toda chain flow in Krylov space.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Toda chain flow in Krylov space

Reference 30

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Observation e801946f-59a0-45e5-8792-67959bec1e6c · outbound

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:24.082226Z

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Observation 1a1d0c7c-9cb5-4602-8760-f36a8a3aff11 · outbound

This paper cites Saad, Linear Algebra and its Applications34, 269 (1980).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Saad, Linear Algebra and its Applications34, 269 (1980)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.074629Z

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Observation 0a39f646-596a-47a0-841e-8610603211a5 · outbound

This paper cites Minganti and D.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Minganti and D

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.067204Z

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Observation 0d8d7858-72c2-4117-b419-35ecf37d8e71 · outbound

This paper cites Operator growth and Krylov construction in dissipative open quantum systems.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Operator growth and Krylov construction in dissipative open quantum systems

Reference 34

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Observation 1aa6d18f-ccbb-4779-88ec-fe5b8a170c26 · outbound

This paper cites On Krylov complexity in open systems: an approach via bi-Lanczos algorithm.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport On Krylov complexity in open systems: an approach via bi-Lanczos algorithm

Reference 35

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Observation 49e416be-8550-4c3b-bee6-2f9a9c9a157b · outbound

This paper cites Ueno and K.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Ueno and K

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.060027Z

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Observation fc9207c9-36de-49a8-9457-e09680e194c5 · outbound

This paper cites Toda hierarchies and their applications.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Toda hierarchies and their applications

Reference 37

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T15:20:23.797630Z

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Observation 4ce9c4a3-409c-405b-be63-4b5630ff080b · outbound

This paper cites Krylov Complexity Under Hamiltonian Deformations and Toda Flows.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Krylov Complexity Under Hamiltonian Deformations and Toda Flows

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.787747Z

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Observation 3148e37b-6974-4855-8742-b00e7b266e36 · outbound

This paper cites Simon, Physical Review Letters51, 2167 (1983).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Simon, Physical Review Letters51, 2167 (1983)

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.531528Z

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Observation 37b032ef-99ac-4126-a1dc-9fcecd54f202 · outbound

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Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 40

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Observation 1ec9d076-d73e-447b-ac83-bff2deb7611c · outbound

This paper cites Provost and G.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Provost and G

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.045672Z

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Observation 13310ae9-e694-4fdc-9d88-dafaffdf664f · outbound

This paper cites Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.778395Z

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Observation bb8d1f7d-56a9-4728-98b2-34d61fb7a485 · outbound

This paper cites Shortcuts to adiabaticity for non-Hermitian systems.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Shortcuts to adiabaticity for non-Hermitian systems

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.768888Z

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Observation efe8e421-6fe8-47f1-b108-a672b2ee0482 · outbound

This paper cites Ibáñez, S.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Ibáñez, S

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.037504Z

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Observation a5f04c87-e2db-45f4-8055-49eaaa241800 · outbound

This paper cites Okuyama and K.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Okuyama and K

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.029659Z

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Observation b0151172-257a-45fc-9f23-73aaea5daed2 · outbound

This paper cites Gorini, A.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Gorini, A

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.549310Z

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Observation 96c64863-d804-4fb3-a5ce-9f384ddf5c20 · outbound

This paper cites Lindblad, Communications in Mathematical Physics 48, 119 (1976).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Lindblad, Communications in Mathematical Physics 48, 119 (1976)

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.018579Z

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Observation 6feb2fc5-5691-4919-8aba-cc92f9014807 · outbound

This paper cites Iso-spectral deformations of general matrix and their reductions on Lie algebras.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Iso-spectral deformations of general matrix and their reductions on Lie algebras

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.759566Z

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Observation 2ade3bfb-539f-444a-b9c8-a0c690a39a6c · outbound

This paper cites The full Kostant-Toda hierarchy on the positive flag variety.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport The full Kostant-Toda hierarchy on the positive flag variety

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.748561Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c3ecf0a-61c4-4011-81ee-559264cefdc3 · outbound

This paper cites Free fermions and tau-functions.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Free fermions and tau-functions

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.559986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 981e7911-8303-4a03-8f32-6882a5fcb6f2 · outbound

This paper cites Tsujimoto, Publications of the Research Institute for Mathematical Sciences38, 113 (2002).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Tsujimoto, Publications of the Research Institute for Mathematical Sciences38, 113 (2002)

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.011528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ac7404d6-4be4-4a35-99a4-62e7c9b1e5ba · outbound

This paper cites Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete versions.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete versions

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.732181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3da93834-9052-4fe7-bee7-f8608bd72b68 · outbound

This paper cites Krylov Complexity in Open Quantum Systems.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Krylov Complexity in Open Quantum Systems

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.569237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0b6d863-87fc-41f4-aa54-a6e3155f7841 · outbound

This paper cites Spread complexity for measurement-induced non-unitary dynamics and Zeno effect.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Spread complexity for measurement-induced non-unitary dynamics and Zeno effect

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.572743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 142c9da1-94f8-4dac-848d-3493bf633009 · outbound

This paper cites Toda, Journal of the Physical Society of Japan22, 431 (1967).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Toda, Journal of the Physical Society of Japan22, 431 (1967)

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:24.004357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 71f1cb46-7c07-4b25-8820-c35d8e3a7ced · outbound

This paper cites Flaschka, Physical Review B9, 1924 (1974).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Flaschka, Physical Review B9, 1924 (1974)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.997227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f7a81e5-a193-41df-8651-740adc64884d · outbound

This paper cites Moser, Advances in Mathematics16, 197 (1975).

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Moser, Advances in Mathematics16, 197 (1975)

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.989875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3a81159e-5667-413a-ba62-b5185e9f4786 · outbound

This paper cites Hirota,The Direct Method in Soliton Theory, Cam- bridge Tracts in Mathematics, Vol.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Hirota,The Direct Method in Soliton Theory, Cam- bridge Tracts in Mathematics, Vol

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.982844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a30781df-7152-461d-82f8-d3c08b1c5fda · outbound

This paper cites A remark on the Hankel determinant formula for solutions of the Toda equation.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport A remark on the Hankel determinant formula for solutions of the Toda equation

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.710224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8cb61bb-dfe0-4c7d-a622-e9e06704eb54 · outbound

This paper cites Advanced Determinant Calculus.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Advanced Determinant Calculus

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.585646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8702e4b5-e991-4a1f-a28c-8d1bdf6bedc6 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.974088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0feabee-1cbb-4ef0-a344-14dfe2222077 · outbound

This paper cites Hirota, M.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Hirota, M

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.966744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a04269a8-780d-4604-bad2-0699d6fb5c7b · outbound

This paper cites Adler and P.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Adler and P

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.959772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 29a7399e-189d-4079-a950-12abb6afd496 · outbound

This paper cites Strong and almost strong modes of Floquet spin chains in Krylov subspaces.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Strong and almost strong modes of Floquet spin chains in Krylov subspaces

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.593818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6043c4f-d0f9-4b18-96c6-36765c4d913a · outbound

This paper cites Krylov construction and complexity for driven quantum systems.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Krylov construction and complexity for driven quantum systems

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.595666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c99e5de1-1754-4ff5-ab9d-9c50c0f23dae · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.951629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bcee97d6-29c4-454b-9a41-3441c6677618 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 67

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.943855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23ddcbdf-9419-40d9-9a6e-c0f441d07a46 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.602322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa804f14-dc67-4e53-8d16-5d5851755d2c · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 69

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.932881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca585c09-3990-4d18-a581-bafb60f95edf · outbound

This paper cites Computable upper error bounds for Krylov approximations to matrix exponentials and associated $\varphi$-functions.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Computable upper error bounds for Krylov approximations to matrix exponentials and associated $\varphi$-functions

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.682667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cfd05d76-cea0-4056-b5d2-8fa4aaf0a067 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.608721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c177ec5-4b8a-4105-8eb4-791e0c053a77 · outbound

This paper cites Guéry-Odelin, A.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Guéry-Odelin, A

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.920860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c2141649-4273-4bbf-928c-9514a9c15b1e · outbound

This paper cites Demirplak and S.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Demirplak and S

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.913248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation abb2c502-8c81-47a1-892b-ee05e6d63619 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.904047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8529349-6145-4ce5-b5c4-cb838aebac13 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.896861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f2daf058-3791-43c6-804a-7f66ba614fa4 · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.619666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d8a1111-be42-49a0-97aa-3d3aec7eba5c · outbound

This paper cites Ashida, Z.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Ashida, Z

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.622559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b59fb03-713c-4d2c-af33-c83e6c492bad · outbound

This paper cites an unresolved cited work.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:20:23.881579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7947383-f01e-4afc-be07-12b7c9420aee · outbound

This paper cites Deift, L.-C.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Deift, L.-C

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.874168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a8e53fb3-fa8d-4dec-baaa-9b48670e6d01 · outbound

This paper cites Dieci and T.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Dieci and T

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.866086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 90b71541-f5e8-49cc-8431-9ed59f15d473 · outbound

This paper cites Griffiths and J.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Griffiths and J

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.859094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 801078cc-b8c9-4ef8-908d-1d38f0e29e07 · outbound

This paper cites Applications of Minor Summation Formula III, Plucker Relations, Lattice Paths and Pfaffian Identities.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Applications of Minor Summation Formula III, Plucker Relations, Lattice Paths and Pfaffian Identities

Reference 82

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:20:23.671579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3d44e1cd-c9b4-4be3-a155-e678c3c07209 · outbound

This paper cites Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-06T15:20:23.636367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dba729d8-c28b-436e-ac12-ed8394a62662 · outbound

This paper cites Ransford,Potential Theory in the Complex Plane, London Mathematical Society Student Texts, Vol.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Ransford,Potential Theory in the Complex Plane, London Mathematical Society Student Texts, Vol

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:20:23.851299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Coverage vector

Reference resolution

Outbound references

Pith citing papers