Paper Citation Record · LEDGER

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing

As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.05097.

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

pith.paper-citation-record.v1
2607.05097 v1

Coverage vector

measured 27 of 27 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-11T08:52:05.032610Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

27 of 27 outbound references displayed

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unresolved9
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External citation measurements

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Outbound references

Observation d968d45e-2724-4f50-8655-a66e0ae25c62 · outbound

This paper cites Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.099713Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 99a405c4-8ea5-479b-aba4-63296092616a · outbound

This paper cites an unresolved cited work.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-07-11T08:57:58.065480Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ed87ef5a-db16-4579-a149-06abfd65e299 · outbound

This paper cites 2026+ , journal =.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing 2026+ , journal =

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation 464f4c5b-3ed7-4845-84b6-8027e12a0d77 · outbound

This paper cites Lower bounds on the top.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Lower bounds on the top

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation 74419bf4-6002-43ed-b88f-3e1778b2843b · outbound

This paper cites Stochastic Extinction, An Average.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Stochastic Extinction, An Average

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation 79653ec0-ef7d-48a8-ad5e-97f0051661a6 · outbound

This paper cites Stochastic Persistence.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Stochastic Persistence

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation a2d5fe20-028d-45ec-8fc4-fab2b81dd7a8 · outbound

This paper cites 2026 , journal =.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing 2026 , journal =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation 7d1c4f41-c923-4b2b-8f3b-a11f214c3c41 · outbound

This paper cites Instability of two-dimensional.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Instability of two-dimensional

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation 5156eda4-49f6-4ca1-a8da-b9f3c2264982 · outbound

This paper cites 2018 , PAGES =.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing 2018 , PAGES =

Reference 9

Resolution: verified exact; doi, observed 2026-07-11T08:57:58.084699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c5ef4bf5-64a3-4d11-b75c-f2afeeb20c54 · outbound

This paper cites [2022] 2022 , PAGES =.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing [2022] 2022 , PAGES =

Reference 10

Resolution: verified exact; doi, observed 2026-07-11T08:57:58.070183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 48298c08-ba44-421e-929f-e05d6015ebdb · outbound

This paper cites 1995 , PAGES =.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing 1995 , PAGES =

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation d76b7049-c414-4b60-bc0c-be292e7e2a94 · outbound

This paper cites Brownian motion, martingales, and stochastic calculus , SERIES =.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Brownian motion, martingales, and stochastic calculus , SERIES =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Observation 4fd5491c-1299-4e11-b435-a10dcf7bc142 · outbound

This paper cites A noise-induced transition in the Lorenz system.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing A noise-induced transition in the Lorenz system

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.015668Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b3e8ff4b-c3f8-4f52-b70d-12cb6acacfbe · outbound

This paper cites Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T08:52:05.032610Z

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Unavailable: canonical work link unavailable.

Observation e4ddf228-8795-4706-8c56-0c7fb1275ad1 · outbound

This paper cites an unresolved cited work.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-07-11T08:57:58.092667Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 82c24147-d180-48fd-81f3-bf848a1c3824 · outbound

This paper cites A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.060899Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ed3ca6ac-731b-48ae-aa62-d4b4bb02d2a0 · outbound

This paper cites Chaos in stochastic 2d Galerkin-Navier-Stokes.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Chaos in stochastic 2d Galerkin-Navier-Stokes

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.053756Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4f3abc7b-0018-4363-bf15-96ea0b339c27 · outbound

This paper cites Electron.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Electron

Reference 18

Resolution: verified exact; doi, observed 2026-07-11T08:57:58.081341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6d54a07e-0f00-4663-ab23-af361bf7ebd8 · outbound

This paper cites and Richards, Geordie and Whitehead, Jared P.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing and Richards, Geordie and Whitehead, Jared P

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-11T08:57:58.039921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6b6438d6-1e9b-4e2f-ba41-9483b9598859 · outbound

This paper cites A general theory of coexistence and extinction for stochastic ecological communities.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing A general theory of coexistence and extinction for stochastic ecological communities

Reference 20

Resolution: metadata mismatch; local_arxiv, observed 2026-07-11T08:57:58.087493Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation aeafd5a9-bb97-40f9-b486-a6078709912d · outbound

This paper cites Coexistence and extinction for stochastic Kolmogorov systems.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Coexistence and extinction for stochastic Kolmogorov systems

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.032583Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 144fb8e2-28e6-4be1-963d-b8ca5d140a18 · outbound

This paper cites Persistence and extinction for stochastic ecological models with internal and external variables.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Persistence and extinction for stochastic ecological models with internal and external variables

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.092970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 260fe3bc-adc7-4a92-800c-b95693c6fa9e · outbound

This paper cites an unresolved cited work.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-07-11T08:57:58.077191Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fc4df5b2-d6a4-4a40-a349-515e4f9cfdd8 · outbound

This paper cites Scaling Limit of Small Random Perturbation of Dynamical Systems.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Scaling Limit of Small Random Perturbation of Dynamical Systems

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.072311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8bc10a8-4383-4e28-8630-e8dfbb2222a3 · outbound

This paper cites Malliavin calculus approach to long exit times from an unstable equilibrium.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Malliavin calculus approach to long exit times from an unstable equilibrium

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.022171Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 121d2924-86fe-44f5-aed7-bec1b2c886d8 · outbound

This paper cites Tails of exit times from unstable equilibria on the line.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Tails of exit times from unstable equilibria on the line

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.047465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ca326bd5-732a-419b-9911-92f891829a85 · outbound

This paper cites Long exit times near a repelling equilibrium.

Asymptotics of Lyapunov Exponents and Phase Transitions for Fluids with Degenerate Forcing Long exit times near a repelling equilibrium

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-11T08:57:58.212291Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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