Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:43:34.334716Z
Paper Citation Record · LEDGER
Discontinuous observables as an obstruction for small essential spectral radius
As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2506.07613.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
34 of 34 outbound references displayed
- verified exact1
- verified fuzzy28
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8d94f382-3de7-4ea5-b779-e8ea1ea10c1f · outbound
This paper cites Transfer operators and atomic decomposition, 2020.
Discontinuous observables as an obstruction for small essential spectral radius Transfer operators and atomic decomposition, 2020
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:44.006006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 28b70eaa-9c4a-47aa-8f2a-d839de4648fc · outbound
This paper cites Baladi and G.
Discontinuous observables as an obstruction for small essential spectral radius Baladi and G
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:43.759013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c1c20cc5-9566-4814-920d-b3af83879fd0 · outbound
This paper cites World Scientific Publishing Co., Inc., River Edge, NJ, 2000.
Discontinuous observables as an obstruction for small essential spectral radius World Scientific Publishing Co., Inc., River Edge, NJ, 2000
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:43.487697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c067c3f9-721f-46c1-a745-824198b546b2 · outbound
This paper cites an unresolved cited work.
Discontinuous observables as an obstruction for small essential spectral radius Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:43:43.204748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8ece2afd-ab6e-4d81-86c6-bea53064eac3 · outbound
This paper cites Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms.
Discontinuous observables as an obstruction for small essential spectral radius Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:42.882826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 41021ecd-33ca-4622-8aeb-28a723a3c0a8 · outbound
This paper cites Dynamical determinants and spectrum for hyperbolic diffeomorphisms.
Discontinuous observables as an obstruction for small essential spectral radius Dynamical determinants and spectrum for hyperbolic diffeomorphisms
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:42.594217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4a9002cb-f6db-4073-a2aa-a52fab2441ae · outbound
This paper cites Ruelle-Perron-Frobenius spectrum for Anosov maps.Nonlinearity, 15(6):1905–1973, 2002.
Discontinuous observables as an obstruction for small essential spectral radius Ruelle-Perron-Frobenius spectrum for Anosov maps.Nonlinearity, 15(6):1905–1973, 2002
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:42.310382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a9ccccb7-bfc4-4131-b7ad-357cfe4b54ec · outbound
This paper cites Springer-Verlag, Berlin, revised edition, 2008.
Discontinuous observables as an obstruction for small essential spectral radius Springer-Verlag, Berlin, revised edition, 2008
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:42.005479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce282745-2082-4d75-a548-50c69e578e61 · outbound
This paper cites Discontinuities cause essential spectrum on surfaces.Annales Henri Poincaré, 2024.
Discontinuous observables as an obstruction for small essential spectral radius Discontinuities cause essential spectrum on surfaces.Annales Henri Poincaré, 2024
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:41.680430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 22577ddf-33c6-45ab-bf49-5a4c441871ab · outbound
This paper cites Discontinuities cause essential spectrum.Comm.
Discontinuous observables as an obstruction for small essential spectral radius Discontinuities cause essential spectrum.Comm
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:41.385743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation df1acc88-690d-4f77-9e00-c86c00bdb097 · outbound
This paper cites Locating Ruelle-Pollicott resonances.Nonlin- earity, 35(1):513–566, 2022.
Discontinuous observables as an obstruction for small essential spectral radius Locating Ruelle-Pollicott resonances.Nonlin- earity, 35(1):513–566, 2022
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:41.113697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7eed1692-61dc-46bc-87e3-0592e3055108 · outbound
This paper cites American Mathematical Society, Providence, RI, 2006.
Discontinuous observables as an obstruction for small essential spectral radius American Mathematical Society, Providence, RI, 2006
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:40.742478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 82775d7f-291b-42dd-84f3-1685f35f0fe5 · outbound
This paper cites On the essential spectrum of the transfer operator for expanding Markov maps.Comm.
Discontinuous observables as an obstruction for small essential spectral radius On the essential spectrum of the transfer operator for expanding Markov maps.Comm
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:40.500331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6bd42f1b-703c-4fb8-b900-cae4264c8f7b · outbound
This paper cites an unresolved cited work.
Discontinuous observables as an obstruction for small essential spectral radius Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:43:40.203608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6c6a79ff-c91a-41b7-b8b7-32b95da15a0b · outbound
This paper cites On infinitely cohomologous to zero observables.Ergodic Theory Dynam.
Discontinuous observables as an obstruction for small essential spectral radius On infinitely cohomologous to zero observables.Ergodic Theory Dynam
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:39.853652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a75ac868-d70d-4066-bcef-9d39a2f6030f · outbound
This paper cites The atomic decomposition of Besov-Bergman-Lipschitz spaces.Proceedings of the American Mathematical Society, 94(4):682–686, 1985.
Discontinuous observables as an obstruction for small essential spectral radius The atomic decomposition of Besov-Bergman-Lipschitz spaces.Proceedings of the American Mathematical Society, 94(4):682–686, 1985
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:39.597233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e8bf22bf-6e2e-4748-92e0-590b9e410402 · outbound
This paper cites an unresolved cited work.
Discontinuous observables as an obstruction for small essential spectral radius Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:43:39.448402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 95b1c1c7-776a-4b51-aaa5-c9d9f0bd13de · outbound
This paper cites Ruelle spectrum of linear pseudo-Anosov maps.
Discontinuous observables as an obstruction for small essential spectral radius Ruelle spectrum of linear pseudo-Anosov maps
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:39.253741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8eb18319-4023-4aee-b407-4becd268cdbd · outbound
This paper cites Lagarias, and Bjorn Poonen.
Discontinuous observables as an obstruction for small essential spectral radius Lagarias, and Bjorn Poonen
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:38.884252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7dcc8db3-2b2d-4beb-a2bf-fb01e4d2a952 · outbound
This paper cites Banach spaces adapted to Anosov systems.Ergodic Theory Dynam.
Discontinuous observables as an obstruction for small essential spectral radius Banach spaces adapted to Anosov systems.Ergodic Theory Dynam
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:38.540358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 385db9d2-b94d-453b-8849-00ac5723f422 · outbound
This paper cites an unresolved cited work.
Discontinuous observables as an obstruction for small essential spectral radius Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:43:38.256446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8637b7b4-b412-4df6-9445-a0a73a3de0f2 · outbound
This paper cites an unresolved cited work.
Discontinuous observables as an obstruction for small essential spectral radius Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:43:38.006724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e5a35791-728b-4ad1-9c29-6e2b91eb8928 · outbound
This paper cites On the rate of convergence to equilibrium in one-dimensional systems.Comm.
Discontinuous observables as an obstruction for small essential spectral radius On the rate of convergence to equilibrium in one-dimensional systems.Comm
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:37.717083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0b50a9b9-774f-4296-9c97-d839e65e0168 · outbound
This paper cites Stability of the spectrum for transfer operators.Ann.
Discontinuous observables as an obstruction for small essential spectral radius Stability of the spectrum for transfer operators.Ann
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:37.427935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 009bff6f-144a-4c45-8b38-2ac27aa963b5 · outbound
This paper cites Eigenfunctions for smooth expanding circle maps.Nonlinearity, 17(5):1723–1730, 2004.
Discontinuous observables as an obstruction for small essential spectral radius Eigenfunctions for smooth expanding circle maps.Nonlinearity, 17(5):1723–1730, 2004
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:37.175123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0a423345-e86b-462c-b59c-492706e05366 · outbound
This paper cites Lasota and James A.
Discontinuous observables as an obstruction for small essential spectral radius Lasota and James A
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:36.889805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6a53dc1b-4622-44df-a841-db1026fc279e · outbound
This paper cites Rigorous numerical investigation of the statistical properties of piecewise expanding maps.
Discontinuous observables as an obstruction for small essential spectral radius Rigorous numerical investigation of the statistical properties of piecewise expanding maps
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:36.629512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 28d4609a-8fca-4156-b801-a77be7894d50 · outbound
This paper cites Invariant measures and their properties.
Discontinuous observables as an obstruction for small essential spectral radius Invariant measures and their properties
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:36.373937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dfeb6f95-db96-4194-96c5-91b98b673913 · outbound
This paper cites Spectra of expanding maps on Besov spaces.Discrete Contin.
Discontinuous observables as an obstruction for small essential spectral radius Spectra of expanding maps on Besov spaces.Discrete Contin
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:36.082090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8d605193-853e-47df-8977-e334e0880a9f · outbound
This paper cites Zeta functions and the periodic orbit structure of hyperbolic dynamics.
Discontinuous observables as an obstruction for small essential spectral radius Zeta functions and the periodic orbit structure of hyperbolic dynamics
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:35.807745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7bd8eee1-a5c7-4604-a48e-2dbd5e57727f · outbound
This paper cites The thermodynamic formalism for expanding maps.Comm.
Discontinuous observables as an obstruction for small essential spectral radius The thermodynamic formalism for expanding maps.Comm
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:35.566633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3bcc0005-bb9a-4941-8f22-b5b7ec9a3d65 · outbound
This paper cites Transfer operators, atomic decomposition and the Bestiary.
Discontinuous observables as an obstruction for small essential spectral radius Transfer operators, atomic decomposition and the Bestiary
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:43:34.691177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b003b6b3-496b-4723-8342-73a9369e131d · outbound
This paper cites Besov-ish spaces through atomic decomposition.Anal.
Discontinuous observables as an obstruction for small essential spectral radius Besov-ish spaces through atomic decomposition.Anal
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:35.299658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7eb1d659-9fa8-49bd-82f9-20848593b864 · outbound
This paper cites A spectral gap for transfer operators of piecewise expanding maps.Discrete Contin.
Discontinuous observables as an obstruction for small essential spectral radius A spectral gap for transfer operators of piecewise expanding maps.Discrete Contin
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:43:35.049203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.