Paper Citation Record · LEDGER

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

As of 11 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 4 inbound Pith citation observations for arXiv:2502.02041.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.02041 v1

Coverage vector

measured 50 of 50 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: pith, observed 2026-08-05T14:52:49.823004Z

Reference resolution

50 of 50 outbound references displayed

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Outbound references

Observation 7778d983-6f6e-4e00-ad72-a73beb6106d5 · outbound

This paper cites and Savare, G.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Savare, G

Reference 1

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Observation 243144a2-5166-40a2-b3ad-85e24fd40f60 · outbound

This paper cites A variational approach to complex Monge-Amp` ere equations, Publ.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics A variational approach to complex Monge-Amp` ere equations, Publ

Reference 2

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Observation 9d4347eb-1e38-4320-8e3d-d59a2f953b92 · outbound

This paper cites and Trusiani, A.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Trusiani, A

Reference 3

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This paper cites and Colding, T.H.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Colding, T.H

Reference 4

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This paper cites and Colding, T.H.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Colding, T.H

Reference 5

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This paper cites and Tian, G.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Tian, G

Reference 6

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This paper cites and Cheng, J.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Cheng, J

Reference 7

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Observation 82c3536d-a8e4-4f64-a2fc-f7eaec077b77 · outbound

This paper cites and Sun, S.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sun, S

Reference 8

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This paper cites and Sun, S.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sun, S

Reference 9

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This paper cites and Sun, S.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sun, S

Reference 10

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Observation 93d8eabe-5bc5-4f5b-b7e1-451460fd9e20 · outbound

This paper cites On K¨ ahler-Einstein currents, preprint, 2025.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics On K¨ ahler-Einstein currents, preprint, 2025

Reference 11

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This paper cites and Naber, A.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Naber, A

Reference 12

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Observation 6b9ada7f-66a9-4ece-86b0-4f7b1469921d · outbound

This paper cites On the extension of quasiplurisubharmonic functions , Anal.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics On the extension of quasiplurisubharmonic functions , Anal

Reference 13

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Observation 848f33cb-3c9c-4113-9bdb-f7ce547230f4 · outbound

This paper cites Metric geometry of normal K¨ ahler spaces, energy propernes s, and existence of canonical metrics, Int.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Metric geometry of normal K¨ ahler spaces, energy propernes s, and existence of canonical metrics, Int

Reference 14

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Observation f6b357fb-ccf3-47b2-a380-93cae56dc52f · outbound

This paper cites Holder Continuity of Tangent Cones and Non-Branching in RCD (K,N) Spaces , Thesis (Ph.D.)–University of Toronto (Canada), 2021.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Holder Continuity of Tangent Cones and Non-Branching in RCD (K,N) Spaces , Thesis (Ph.D.)–University of Toronto (Canada), 2021

Reference 15

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This paper cites and Gigli, N.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Gigli, N

Reference 16

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Observation f11dad91-dda0-4ada-8b65-9c96d1224e87 · outbound

This paper cites Non-collapsed spaces with Ricci curvature bounded from below, J.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Non-collapsed spaces with Ricci curvature bounded from below, J

Reference 17

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Zhang, Z

Reference 18

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sun, S

Reference 19

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Zeriahi, A

Reference 20

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Song, J

Reference 21

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This paper cites and Song, J.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Song, J

Reference 22

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This paper cites K\"ahler families of Green's functions.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics K\"ahler families of Green's functions

Reference 23

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Sobolev inequalities on K\"ahler spaces

Reference 24

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sturm, J

Reference 25

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This paper cites and Sturm, J.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sturm, J

Reference 26

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Tong, F

Reference 27

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This paper cites Bakry- `Emery conditions on almost smooth metric measure spaces , Anal.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Bakry- `Emery conditions on almost smooth metric measure spaces , Anal

Reference 28

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Wang, F

Reference 29

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This paper cites and Sz´ ekelyhidi, G.Gromov-Hausdorﬀ limits of K¨ ahler manifolds with Ricci cur vature bounded below, Geom.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Sz´ ekelyhidi, G.Gromov-Hausdorﬀ limits of K¨ ahler manifolds with Ricci cur vature bounded below, Geom

Reference 30

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This paper cites 180 (1998) 69–117.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics 180 (1998) 69–117

Reference 31

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Unresolved cited work

Reference 32

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Villani, C

Reference 33

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and To, T.D

Reference 34

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Riemannian geometry of Kahler-Einstein currents

Reference 35

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This paper cites Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Riemannian geometry of Kahler-Einstein currents II: an analytic proof of Kawamata's base point free theorem

Reference 36

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This paper cites Degeneration of Kahler-Einstein manifolds of negative scalar curvature.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Degeneration of Kahler-Einstein manifolds of negative scalar curvature

Reference 37

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Tian, G

Reference 38

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics and Tian, G

Reference 39

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This paper cites private notes, available at https://sites.rutgers.edu/jacob-sturm/publications/.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics private notes, available at https://sites.rutgers.edu/jacob-sturm/publications/

Reference 40

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics On the geometry of metric measure spaces

Reference 41

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This paper cites Singular K\"ahler-Einstein metrics and RCD spaces.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Singular K\"ahler-Einstein metrics and RCD spaces

Reference 42

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This paper cites On Calabi’s conjecture for complex surfaces with positive ﬁ rst Chern class , Invent.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics On Calabi’s conjecture for complex surfaces with positive ﬁ rst Chern class , Invent

Reference 43

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This paper cites K¨ ahler-Einstein metrics with positive scalar curvature, Invent.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics K¨ ahler-Einstein metrics with positive scalar curvature, Invent

Reference 44

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This paper cites Canonical metrics in K¨ ahler geometry, Lectures Math.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Canonical metrics in K¨ ahler geometry, Lectures Math

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:43:48.190662Z

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Observation dbf121c1-4fc6-4bdf-8ca8-684da0df2e3a · outbound

This paper cites K-stability and K¨ ahler-Einstein metrics, Comm.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics K-stability and K¨ ahler-Einstein metrics, Comm

Reference 46

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Observation 20c8790c-b69e-4f5a-9365-670abd3a1b4d · outbound

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Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Uniform diameter estimates for Kaehler metrics

Reference 47

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Observation 0a7800c5-5582-4fc7-9dac-e5991e1c49e6 · outbound

This paper cites On the Ricci curvature of a compact K¨ ahler manifold and comp lex Monge-Amp` ere equation I, Comm.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics On the Ricci curvature of a compact K¨ ahler manifold and comp lex Monge-Amp` ere equation I, Comm

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:43:48.166566Z

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Observation 64ad32d1-92b3-447f-abdf-2d16476c203d · outbound

This paper cites On degenerate Monge-Amp` ere equations over closed K¨ ahler manifolds, Int.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics On degenerate Monge-Amp` ere equations over closed K¨ ahler manifolds, Int

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:43:48.151867Z

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Observation dd2e0e33-624e-43cf-a521-531efa23845a · outbound

This paper cites Singular scalar curvature equations.

Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics Singular scalar curvature equations

Reference 50

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Pith citing papers

Observation 50b00da4-6180-4590-91f2-667624f50046 · inbound

On K\"ahler-Einstein Currents cites this paper.

On K\"ahler-Einstein Currents Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

Reference 27

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Observation 1c1adeb4-8380-40a1-90f4-cb18ca31869c · inbound

Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations cites this paper.

Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

Reference 24

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H\"older estimates for degenerate complex Monge-Amp\`ere equations cites this paper.

H\"older estimates for degenerate complex Monge-Amp\`ere equations Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

Reference 26

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SNC K\"ahler-Einstein metrics and RCD spaces cites this paper.

SNC K\"ahler-Einstein metrics and RCD spaces Nash entropy, Calabi energy and geometric regularization of singular K\"ahler metrics

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