Paper Citation Record · LEDGER

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity

As of 17 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:2607.05294.

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pith.paper-citation-record.v1
2607.05294 v2

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measured 65 of 65 reference resolution

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Outbound references

Observation bda4a759-2f1d-49fa-ab3d-57653bb10722 · outbound

This paper cites Quantum chaos and the complexity of spread of states.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Quantum chaos and the complexity of spread of states

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:38:43.867294Z

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Observation 1b6dded6-4a6e-46e4-84cd-d702ca624818 · outbound

This paper cites State Dependence of Krylov Complexity in $2d$ CFTs.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity State Dependence of Krylov Complexity in $2d$ CFTs

Reference 2

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Observation d49f2fdc-2a47-4a7d-9bdc-2949aac094f7 · outbound

This paper cites Dependence of Krylov complexity on the initial operator and state.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Dependence of Krylov complexity on the initial operator and state

Reference 3

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Observation c7f44960-1cc7-47ce-acbe-145f25e724ed · outbound

This paper cites Variations on a theme of Krylov,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Variations on a theme of Krylov,

Reference 4

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Observation 378e51b6-9ca6-4fc4-8ffd-1abfbb46a4cf · outbound

This paper cites Krylov complexity and orthogonal polynomials.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov complexity and orthogonal polynomials

Reference 5

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Observation 004e77dc-793e-4c84-927f-27c7c6f8d8e1 · outbound

This paper cites Krylov polynomials and quantum query complexity,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov polynomials and quantum query complexity,

Reference 6

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Observation 4eaac5f2-1e52-4b61-ac41-723da7b53c95 · outbound

This paper cites Implicit application of polynomial filters in ak-step Arnoldi method,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Implicit application of polynomial filters in ak-step Arnoldi method,

Reference 7

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Observation 8f1053f1-fe9f-448a-b7a5-1c1f1d62c435 · outbound

This paper cites A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems,

Reference 8

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Observation fb53216b-de7d-4c37-919e-92aa140b13d6 · outbound

This paper cites Fast measure modification of orthogonal polynomials via matrices with displacement structure.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Fast measure modification of orthogonal polynomials via matrices with displacement structure

Reference 9

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Observation a4003adc-2bed-4d23-8194-3113276e1ddd · outbound

This paper cites A Universal Operator Growth Hypothesis.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity A Universal Operator Growth Hypothesis

Reference 10

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Observation 50438cfc-41ed-4cd4-8c66-1e7c69d149a1 · outbound

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

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Quantum Dynamics in Krylov Space: Methods and Applications

Reference 11

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Observation 0a0322e1-1d26-401d-94e5-a8309cbf8672 · outbound

This paper cites Operator complexity: a journey to the edge of Krylov space.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Operator complexity: a journey to the edge of Krylov space

Reference 12

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Observation fa18141c-73a4-4e41-be5b-e77446d98759 · outbound

This paper cites Krylov Complexity.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov Complexity

Reference 13

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Observation 68b3e282-372b-496c-a03f-399027da7d39 · outbound

This paper cites The Christoffel-Darboux Kernel.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity The Christoffel-Darboux Kernel

Reference 14

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Observation fb383e25-e19d-446f-a33b-3542f20f7b74 · outbound

This paper cites The uncertainty relation between energy and time in non-relativistic quantum mechanics,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity The uncertainty relation between energy and time in non-relativistic quantum mechanics,

Reference 15

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Observation 0f1958e5-f38f-4bf4-aea2-f8af77178d5d · outbound

This paper cites Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control

Reference 16

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Observation d40a52e7-8327-4d8e-861a-ed816d823e1f · outbound

This paper cites Ultimate Speed Limits to the Growth of Operator Complexity.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Ultimate Speed Limits to the Growth of Operator Complexity

Reference 17

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Observation dcce834e-36b3-41ce-99d2-8e3aab8452c3 · outbound

This paper cites Speed Limits and Scrambling in Krylov Space.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Speed Limits and Scrambling in Krylov Space

Reference 18

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Observation cf06d2cc-83da-452e-aa9a-20e8be423d70 · outbound

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Unresolved cited work

Reference 19

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Observation b4184b84-a619-406c-93a4-3abfc3dcce22 · outbound

This paper cites Szegő,Orthogonal Polynomials, AMS Colloquium Publications, Vol.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Szegő,Orthogonal Polynomials, AMS Colloquium Publications, Vol

Reference 20

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Observation ed36a52a-6ecc-42d7-9493-ab52e538b328 · outbound

This paper cites Matrices, moments and quadrature,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Matrices, moments and quadrature,

Reference 21

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Observation e5425ae7-509f-4831-a790-d73215fb54da · outbound

This paper cites Simon,Orthogonal Polynomials on the Real Line, Part 1: Classical Theory, AMS Colloquium Publications, 2005.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Simon,Orthogonal Polynomials on the Real Line, Part 1: Classical Theory, AMS Colloquium Publications, 2005

Reference 22

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Observation 755ad299-f5a8-4379-b238-5ee0e98329d5 · outbound

This paper cites The connection between systems of polynomials that are orthogonal with respect to different distribution functions,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity The connection between systems of polynomials that are orthogonal with respect to different distribution functions,

Reference 23

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Observation 81046eaa-6e0c-424a-8e3f-62635d472f4c · outbound

This paper cites On the calculation of Jacobi matrices,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity On the calculation of Jacobi matrices,

Reference 24

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Observation 4c7a8d1d-bd1c-4d78-a5dc-911fd169b4a7 · outbound

This paper cites Lanczos meets orthogonal polynomials,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Lanczos meets orthogonal polynomials,

Reference 25

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Unresolved cited work

Reference 26

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Observation cd373c7e-3ee8-45aa-897f-bccd556a4617 · outbound

This paper cites Darboux transformation and perturbation of linear functionals,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Darboux transformation and perturbation of linear functionals,

Reference 27

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Observation b65a6820-d2eb-4d49-b2c3-a0c35b325932 · outbound

This paper cites m-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity m-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices,

Reference 28

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Observation c9722128-5466-4f7d-bfd2-f757a981df66 · outbound

This paper cites Gautschi,Orthogonal Polynomials: Computation and Approximation, Oxford University Press, 2004.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Gautschi,Orthogonal Polynomials: Computation and Approximation, Oxford University Press, 2004

Reference 29

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Unresolved cited work

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Observation 3948167c-c74d-4b59-9007-d3e078874b88 · outbound

This paper cites Ben-Israel and T.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Ben-Israel and T

Reference 31

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Unresolved cited work

Reference 32

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Observation 23547389-32df-40c1-a5e6-3f54e873ab1b · outbound

This paper cites Second quantization representation for classical many-particle system,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Second quantization representation for classical many-particle system,

Reference 33

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Observation 3b136f15-4f8f-4b3e-965a-7c1c006d1650 · outbound

This paper cites Path integral approach to birth-death processes on a lattice,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Path integral approach to birth-death processes on a lattice,

Reference 34

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Observation 2d1d12f4-d751-41ee-8d13-598c70d411a3 · outbound

This paper cites One-parameter extension of the Doi-Peliti formalism and relation with orthogonal polynomials.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity One-parameter extension of the Doi-Peliti formalism and relation with orthogonal polynomials

Reference 35

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Observation a4c19939-fc7f-4f19-90bb-be60a3b76cc0 · outbound

This paper cites A set of orthogonal polynomials induced by a given orthogonal polynomial,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity A set of orthogonal polynomials induced by a given orthogonal polynomial,

Reference 36

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Observation a1e6b44f-81ad-45fc-b9a6-3ae516502eb0 · outbound

This paper cites Christoffel transform and multiple orthogonal polynomials,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Christoffel transform and multiple orthogonal polynomials,

Reference 37

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Observation c0b79170-38a6-4e20-a9d5-f2a9324a6983 · outbound

This paper cites Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials,

Reference 38

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Unresolved cited work

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Observation 65d3ae16-bd80-428e-966e-b63bd83150c2 · outbound

This paper cites The differential equations of birth-and-death processes, and the Stieltjes moment problem,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity The differential equations of birth-and-death processes, and the Stieltjes moment problem,

Reference 40

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Unresolved cited work

Reference 41

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Observation 64311cc3-fee9-4b04-a279-ea4cae41f08c · outbound

This paper cites The Analytic Theory of Matrix Orthogonal Polynomials.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity The Analytic Theory of Matrix Orthogonal Polynomials

Reference 42

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Observation 4e430283-d932-4cd6-9194-6a4e40cc0712 · outbound

This paper cites Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy

Reference 43

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Observation 33834b29-d8a4-4509-8e72-df1094cb49d5 · outbound

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Multiseed Krylov complexity

Reference 44

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Observation acee690f-d339-437d-821b-76bcb08665de · outbound

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

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov Complexity Under Hamiltonian Deformations and Toda Flows

Reference 45

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Observation 6dc96b4b-737c-4cc2-b18d-a58a43019049 · outbound

This paper cites Loop groups and equations of KdV type,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Loop groups and equations of KdV type,

Reference 46

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Observation 26209c77-b42e-4cad-867d-d1d2372ff4ab · outbound

This paper cites Toda-Darboux maps and vertex operators.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Toda-Darboux maps and vertex operators

Reference 47

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Observation d6a8010e-2edf-4389-bf40-893f3a3acfea · outbound

This paper cites Darboux transforms on Band Matrices, Weights and associated Polynomials.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Darboux transforms on Band Matrices, Weights and associated Polynomials

Reference 48

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Observation e86db32c-3e4a-4525-95a2-717d1dc95d76 · outbound

This paper cites Rational spectral transformations and orthogonal polynomials,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Rational spectral transformations and orthogonal polynomials,

Reference 49

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Observation a8002548-bee0-4bf2-8bd8-d4fffd67da72 · outbound

This paper cites Krylov distribution,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov distribution,

Reference 50

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Observation b5814ad0-8e08-4852-911f-8f31a9bbf84f · outbound

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov Complexity of Optical Hamiltonians

Reference 51

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Observation 94bca034-61e2-4c7e-aaae-66a937720bcc · outbound

This paper cites Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras

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Observation ab8166ae-62fb-4ed9-bae0-0d638fc3f5ec · outbound

This paper cites An iteration method for the solution of the eigenvalue problem of linear differential and integral operators,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity An iteration method for the solution of the eigenvalue problem of linear differential and integral operators,

Reference 53

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Observation 91d6f4ac-564c-499c-b6cd-e26d0c32a38c · outbound

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Spectral transformations and generalized Pollaczek polynomials,

Reference 54

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Observation 54b27038-e828-4ea4-a19e-88996e176804 · outbound

This paper cites Asymptotics of the Charlier polynomials via difference equation methods.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Asymptotics of the Charlier polynomials via difference equation methods

Reference 55

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Observation 628fc50a-66ff-42b1-ba3d-9ec6a74ec532 · outbound

This paper cites Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krawtchouk polynomials, the Lie algebra $\mathfrak{sl}_2$, and Leonard pairs

Reference 56

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Observation 24074748-aa94-499a-b4a0-0b7f80161427 · outbound

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Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krawtchouk transforms and convolutions,

Reference 57

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Observation a5afa86b-c826-4530-85a3-d1656d87bdb7 · outbound

This paper cites Fusion rules and modular transformations in 2D conformal field theory,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Fusion rules and modular transformations in 2D conformal field theory,

Reference 58

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Observation 50073857-c942-4dfa-b349-643f679aeeb5 · outbound

This paper cites The Lanczos algorithm with selective orthogonalization,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity The Lanczos algorithm with selective orthogonalization,

Reference 59

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Observation 43c3a585-9aad-4a46-8e6b-2f01cb1d1f37 · outbound

This paper cites A more accurate algorithm for computing the Christoffel transformation,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity A more accurate algorithm for computing the Christoffel transformation,

Reference 60

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Observation 12ac4f44-a1ec-45ec-b998-6c59d06d3b18 · outbound

This paper cites Krylov complexity of purification,.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov complexity of purification,

Reference 61

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Observation f66262cd-3393-477e-85d5-27f28a11c26b · outbound

This paper cites Bratteli and D.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Bratteli and D

Reference 62

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Observation e52b3c16-1df8-45ba-81e7-b2ee3db647e8 · outbound

This paper cites Krylov complexity of density matrix operators.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Krylov complexity of density matrix operators

Reference 63

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Observation e8ecaa10-0a76-426c-8776-2e55bbf894e9 · outbound

This paper cites Scaling Relations of Spectrum Form Factor and Krylov Complexity at Finite Temperature.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Scaling Relations of Spectrum Form Factor and Krylov Complexity at Finite Temperature

Reference 64

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Observation 369ec8ae-f58a-4775-89ac-f1677fa2ce09 · outbound

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

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity On Krylov complexity in open systems: an approach via bi-Lanczos algorithm

Reference 65

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Pith citing papers

Observation 6b1f352b-a5f8-4f90-a4f1-973e28deee94 · inbound

Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models cites this paper.

Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity

Reference 78

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