Paper Citation Record · LEDGER

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2604.13702.

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

pith.paper-citation-record.v1
2604.13702 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-05-10T12:10:41.113153Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation da2fb349-1e09-4d65-bf80-317607798cab · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.781754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12b6e5f7-59ed-4b7d-a44a-90912b296395 · outbound

This paper cites Dynamical zeta functions and dynamical determinants for hyperbolic maps.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Dynamical zeta functions and dynamical determinants for hyperbolic maps

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.779913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e86e727-f8d3-4d70-ad04-6ebc8907b46c · outbound

This paper cites FBI transform in Gevrey classes and Anosov flows , volume 456 of Ast \'e risque.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows FBI transform in Gevrey classes and Anosov flows , volume 456 of Ast \'e risque

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.784065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d6e79965-6d7b-430e-97e9-6fa651e7126f · outbound

This paper cites Smooth Anosov flows: Correlation spectra and stability.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Smooth Anosov flows: Correlation spectra and stability

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.785967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 866a2f99-a23c-440c-a696-958c90a18613 · outbound

This paper cites Robustly invariant sets in fiber contracting bundle flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Robustly invariant sets in fiber contracting bundle flows

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.719178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5999a6a1-02e9-4f74-841b-430bcd587521 · outbound

This paper cites Periodic orbits for hyperbolic flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Periodic orbits for hyperbolic flows

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.787765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1fc2c21e-a3d4-4c2e-9828-d8c2491617da · outbound

This paper cites Symbolic dynamics for hyperbolic flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Symbolic dynamics for hyperbolic flows

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.714621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c3585215-3fdd-4554-af6e-62d8b04320e2 · outbound

This paper cites Dynamical determinants and spectrum for hyperbolic diffeomorphisms.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Dynamical determinants and spectrum for hyperbolic diffeomorphisms

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.776297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b1bf7aa3-7330-4c59-8980-139e77c89f6c · outbound

This paper cites Expansive one-parameter flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Expansive one-parameter flows

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.733301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e52d7dfc-0c47-42c7-bdcc-ef91df3325dd · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.731488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 050c7c33-3057-4b54-93b5-0992d3a81b5b · outbound

This paper cites Pollicott- R uelle resonances for open systems.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Pollicott- R uelle resonances for open systems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.748451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9938f909-cc77-4fa5-85d1-c223a98c2b85 · outbound

This paper cites Afterword: dynamical zeta functions for A xiom A flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Afterword: dynamical zeta functions for A xiom A flows

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.740904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bb7ae8db-a174-4cc2-a247-c1ac94361b8e · outbound

This paper cites Dynamical zeta functions for Anosov flows via microlocal analysis.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Dynamical zeta functions for Anosov flows via microlocal analysis

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.710837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8097b9dd-8915-4312-ba08-cfe436993e30 · outbound

This paper cites Hyperbolic flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Hyperbolic flows

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.774349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 716946c8-59b3-4751-b6b7-04fc0eacc899 · outbound

This paper cites The zeta functions of Ruelle and Selberg.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows The zeta functions of Ruelle and Selberg

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.716746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 874d09cd-99de-4f00-bac3-e679670fad93 · outbound

This paper cites Meromorphic zeta functions for analytic flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Meromorphic zeta functions for analytic flows

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.750278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1ad8a205-2a2a-4971-ac00-cdbad7c2280f · outbound

This paper cites Upper bound on the density of Ruelle resonances for Anosov flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Upper bound on the density of Ruelle resonances for Anosov flows

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.727779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a32c448a-e7bc-4d3a-a4e0-31dee3d0e740 · outbound

This paper cites Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.746718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c118aa79-1d82-478a-bcef-5ba1b085f1d8 · outbound

This paper cites Anosov flows and dynamical zeta functions.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Anosov flows and dynamical zeta functions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.708790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dd503ae3-678f-41d9-acb3-4cc36d15a0cd · outbound

This paper cites Produits tensoriels topologiques et espaces nucl \'e aires.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Produits tensoriels topologiques et espaces nucl \'e aires

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.778079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cecdf0a5-7de0-44f9-a5f1-9515543f5fb4 · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.770164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1ed05c3-a4fc-431f-a872-d300f76c7e18 · outbound

This paper cites Local and global trace formulae for smooth hyperbolic diffeomorphisms.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Local and global trace formulae for smooth hyperbolic diffeomorphisms

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.739089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8158af6b-9318-43b6-835b-172ff65d266c · outbound

This paper cites Global trace formula for ultra-differentiable Anosov flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Global trace formula for ultra-differentiable Anosov flows

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.735345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 67673821-06db-424f-893e-89bb542079e7 · outbound

This paper cites Transfer operators for ultradifferentiable expanding maps of the circle.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Transfer operators for ultradifferentiable expanding maps of the circle

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.737223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d41df69-fee0-4285-8e14-e48335f45262 · outbound

This paper cites Distribution of Ruelle resonances for real-analytic Anosov diffeomorphisms.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Distribution of Ruelle resonances for real-analytic Anosov diffeomorphisms

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.768354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 16dd2041-55bf-4d0a-90f2-e0a9572d9c59 · outbound

This paper cites Counting Pollicott - Ruelle resonances for axiom a flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Counting Pollicott - Ruelle resonances for axiom a flows

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.744800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 47b1b821-4a51-4b50-ba44-2778ca5d8601 · outbound

This paper cites Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-08-19T01:28:09.375708Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d41d58b-029c-4618-9c78-ed217b853fff · outbound

This paper cites Introduction to the modern theory of dynamical systems , volume 54 of Encyclopedia of Mathematics and its Applications.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Introduction to the modern theory of dynamical systems , volume 54 of Encyclopedia of Mathematics and its Applications

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.752133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54461e90-8490-47db-9427-607f2b7a6a89 · outbound

This paper cites Michor, and Armin Rainer.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Michor, and Armin Rainer

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.764797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4dcd4dfb-119f-422e-b5a5-d6b3b9b1089b · outbound

This paper cites Microlocal analysis in hyperbolic dynamics and geometry.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Microlocal analysis in hyperbolic dynamics and geometry

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.742901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 647ccf70-d24b-427d-9daf-b42b326ca409 · outbound

This paper cites On contact Anosov flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows On contact Anosov flows

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.766442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24a93ed5-154b-48e0-bcd9-628ef970ce26 · outbound

This paper cites Axiom A diffeomorphisms have rational zeta functions.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Axiom A diffeomorphisms have rational zeta functions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.772388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c831190e-c3a7-44d6-9ab3-198793c45b82 · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.729865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d657608-e7c9-4454-b650-d5039c9f8143 · outbound

This paper cites A Morse complex for axiom A flows.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows A Morse complex for axiom A flows

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.761094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4f8ca727-b72a-48f9-abc2-80e15c6a6e1f · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.762869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 94bcc603-4dd9-45a6-bda3-0a4af15a8035 · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.757544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 99a852f9-2c2f-49e0-8bf2-baab66a66091 · outbound

This paper cites Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.759360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d92459e3-dcff-4571-9dbc-6cda6e6abce5 · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.753885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 135ffb5a-7093-4a73-bbc9-fd44b0d2a381 · outbound

This paper cites an unresolved cited work.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-05-19T12:12:17.712609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d760bd37-5823-4f6e-9673-ba1d0ff8b8fe · outbound

This paper cites Semiclassical analysis , volume 138 of Grad.

Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Semiclassical analysis , volume 138 of Grad

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T12:12:17.755896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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