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Paper Citation Record · LEDGER

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.28660.

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

pith.paper-citation-record.v1
2607.28660 v1

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measured 25 of 25 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T00:50:19.051319Z

measured 25 of 25 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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25 of 25 outbound references displayed

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Outbound references

Observation 6c11a453-b2ea-4d6e-a816-c90f70915e88 · outbound

This paper cites Abraham and J.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Abraham and J

Reference 1

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Observation 54e3e81c-a71e-4e13-b238-73c72556842d · outbound

This paper cites Ammari and V.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Ammari and V

Reference 2

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source=pdf_text observed=2026-08-03T00:50:16.725503Z digest=sha256:06e630e9fb27a4896328d507b1df719eee75097ab33a636bc93002de0049b7e0

Observation 4f5a19a7-9452-4aeb-87fa-ce017f96b4b7 · outbound

This paper cites Barbaresco,Information geometry of Souriau Lie groups thermodynamics and Koszul–Vey equa- tions, Entropy11(2009), 329–364.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Barbaresco,Information geometry of Souriau Lie groups thermodynamics and Koszul–Vey equa- tions, Entropy11(2009), 329–364

Reference 3

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Observation c7100b78-f576-4bf6-930d-1303ec3b13f3 · outbound

This paper cites Barbaresco, Jean-Marie Souriau’s Symplectic Foliation Model of Sadi Carnot’s Thermodynamics.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Barbaresco, Jean-Marie Souriau’s Symplectic Foliation Model of Sadi Carnot’s Thermodynamics

Reference 4

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source=pdf_text observed=2026-08-03T00:50:16.887717Z digest=sha256:8fcc896b2bc17d131be7e4ebdabe0d9a0c2bfa8d23f997d0fcf279e9c4451bdc

Observation 08800a5c-82e0-4598-b004-866bfe4cc65c · outbound

This paper cites Bourgain,Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Bourgain,Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm

Reference 5

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source=pdf_text observed=2026-08-03T00:50:16.959426Z digest=sha256:9d71122d9002869c173315df2c6651cdeb9d024ca5ed52ebb8b3729d2a6c99e8

Observation 29b57e55-154f-4a6c-954d-7f66630ba1a0 · outbound

This paper cites Bratteli and D.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Bratteli and D

Reference 6

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Observation 9ef79398-ce0e-44ff-a1b0-55e47cdb808a · outbound

This paper cites an unresolved cited work.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-03T00:50:17.206766Z digest=sha256:52273fa17662f5748c33395f99c39e7e2063b6c789660f487af0f6e09be6c66e

Observation 6e76fac1-65da-42bb-ab44-94a9806013a2 · outbound

This paper cites an unresolved cited work.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-03T00:50:17.329705Z digest=sha256:4b3d896cf5b883361e62d2f21ee30dd8e3e24aba479480b60b692b2a62cc7e79

Observation 90109934-d007-4ba7-b6a5-8daf8d852fa9 · outbound

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Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-03T00:50:17.424499Z digest=sha256:70f63d746bebc15855562d3ff07dd34ba16d8b7afdc618182a7f967ed0e8660a

Observation e7d44c5b-da7d-40ad-977a-909d4df7bfae · outbound

This paper cites an unresolved cited work.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-03T00:50:17.522793Z digest=sha256:5844984a5c20d378594ce68f3450dcef8dd532fa1381a64fc64d15f50b39c0cd

Observation 20c4c5c5-11d4-4a6b-aa36-ada20a2f09fe · outbound

This paper cites Iglesias,Sym´ etries et moment, Hermann, Paris, 2000.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Iglesias,Sym´ etries et moment, Hermann, Paris, 2000

Reference 11

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source=pdf_text observed=2026-08-03T00:50:17.592853Z digest=sha256:6afa1e0859e6cf15b3e8e8c74e5b25c62a1491d3e3b23c5c57efac049734d374

Observation 2547b324-e1e0-48a8-a830-78d2e992763b · outbound

This paper cites Kriegl and P.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Kriegl and P

Reference 12

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source=pdf_text observed=2026-08-03T00:50:17.691853Z digest=sha256:52a392f32dc7b27fa03089643e879509cbf9709f38942214791fef021e9374e1

Observation e1027cd1-1bc6-4f37-960b-8cce7765ba51 · outbound

This paper cites Magnot,The mean value for infinite volume measures, infinite products, and heuristic infinite dimensional Lebesgue measures, J.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Magnot,The mean value for infinite volume measures, infinite products, and heuristic infinite dimensional Lebesgue measures, J

Reference 13

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source=pdf_text observed=2026-08-03T00:50:17.789098Z digest=sha256:8c82624dd4ae5c813758947cce9dd021f79ba9e443ef1a5ad518bd0a0036bdcd

Observation a01d8b19-377d-440d-8741-67786b16fcec · outbound

This paper cites Magnot, Geometric thermodynamics and entropy functionals for infinite-dimensional Hamilton- ian systems.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Magnot, Geometric thermodynamics and entropy functionals for infinite-dimensional Hamilton- ian systems

Reference 14

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Observation ab29a0de-3f3d-463a-82a8-4febd581d7bd · outbound

This paper cites Marle,From tools in symplectic and Poisson geometry to J.-M.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Marle,From tools in symplectic and Poisson geometry to J.-M

Reference 15

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Observation 219dbb9d-200b-4848-967d-70d9b0b23581 · outbound

This paper cites an unresolved cited work.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 16

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Observation 6ef32993-cba6-493f-9d74-fcf3155b42ef · outbound

This paper cites Robert and J.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Robert and J

Reference 17

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source=pdf_text observed=2026-08-03T00:50:18.100638Z digest=sha256:81fa9eaee89fec7433a277edba64a656fc323d6b863e0f19b82344d0c28264e2

Observation 41507645-2a11-4347-91ca-9540165a73d9 · outbound

This paper cites Neeb,Towards a Lie theory of locally convex groups, Japanese J.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Neeb,Towards a Lie theory of locally convex groups, Japanese J

Reference 18

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Observation cbb4263a-7bdf-48cb-a300-78474fdddec1 · outbound

This paper cites an unresolved cited work.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 19

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Observation d06b876d-e73b-4ba0-ade5-0567d6a31a56 · outbound

This paper cites Oh and N.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Oh and N

Reference 20

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Observation 0dfac428-a771-4b13-b371-a645c5de280a · outbound

This paper cites Omori,Infinite-Dimensional Lie Groups, Translations of Mathematical Monographs, vol.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Omori,Infinite-Dimensional Lie Groups, Translations of Mathematical Monographs, vol

Reference 21

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source=pdf_text observed=2026-08-03T00:50:18.419325Z digest=sha256:91ea9f16e74196ccc5b150ea804488e3ae3a6a4815ed3556676c95336dd7b57c

Observation e4db51cf-df4c-4c8c-9a15-6e42562a1404 · outbound

This paper cites an unresolved cited work.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-03T00:50:18.571180Z digest=sha256:c4d410cee141b78c4309367fe9917786d9ada2311bf7bb31c4991a62a2b1c394

Observation 334e3d8d-12c9-4bc5-bb80-dd42f59cabf9 · outbound

This paper cites Souriau,Structure des syst` emes dynamiques, Dunod, Paris, 1970.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Souriau,Structure des syst` emes dynamiques, Dunod, Paris, 1970

Reference 23

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Observation ffe36082-0c0a-4cfa-aa49-3ba68ee26371 · outbound

This paper cites Tzvetkov,Invariant measures for the defocusing nonlinear Schr¨ odinger equation, Ann.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds Tzvetkov,Invariant measures for the defocusing nonlinear Schr¨ odinger equation, Ann

Reference 24

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Observation 2b617305-9d9d-4f65-aa1b-21f125ba812c · outbound

This paper cites von Neumann,Zur allgemeinen Theorie des Masses, Fund.

Entropy Geometry and Normalized Means on Infinite-Dimensional Hamiltonian Manifolds von Neumann,Zur allgemeinen Theorie des Masses, Fund

Reference 25

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source=pdf_text observed=2026-08-03T00:50:19.051319Z digest=sha256:845d927546b6e239315af53893ac46b651bb6e8be5a77c2199c775068c84aeac

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