Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T11:56:58.217773Z
Paper Citation Record · LEDGER
Essential spectrum for Brox-type diffusion processes
As of 5 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.07410.
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 2026-08-05T06:32:48.257954+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
31 of 31 outbound references displayed
- verified exact2
- verified fuzzy26
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f4449889-a897-45b8-a85c-f42ba71d47c3 · outbound
This paper cites an unresolved cited work.
Essential spectrum for Brox-type diffusion processes Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:06:13.728032Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e29577c3-9251-45ab-b070-a83b30531f8b · outbound
This paper cites Avellaneda and A.J.
Essential spectrum for Brox-type diffusion processes Avellaneda and A.J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.689635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5fdfef3f-7715-4647-afa7-c70e06719259 · outbound
This paper cites Bakry, I.
Essential spectrum for Brox-type diffusion processes Bakry, I
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.694496Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6eff3f14-cca6-4319-b0aa-05477e45a840 · outbound
This paper cites Bertoin and M.
Essential spectrum for Brox-type diffusion processes Bertoin and M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.696473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3ce57fdd-30d7-4c22-9165-fd63db4b215d · outbound
This paper cites Brox, A one-dimensional diffusion process in a Wiener medium,Ann.
Essential spectrum for Brox-type diffusion processes Brox, A one-dimensional diffusion process in a Wiener medium,Ann
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.720468Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5ef48615-fa85-4d0e-9dbc-e11aa4afe993 · outbound
This paper cites Quenched and annealed heat kernel estimates for Brox's diffusion.
Essential spectrum for Brox-type diffusion processes Quenched and annealed heat kernel estimates for Brox's diffusion
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T12:06:13.625739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 80c7913a-7950-49a7-a255-0ce49e8626a3 · outbound
This paper cites an unresolved cited work.
Essential spectrum for Brox-type diffusion processes Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:06:13.698091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5923fbbd-3e42-4c1b-8d9a-96ca60d727d1 · outbound
This paper cites Fazekas and Z.
Essential spectrum for Brox-type diffusion processes Fazekas and Z
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.705112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ce4f4742-89d1-405b-b734-62592bd2a26f · outbound
This paper cites Fukushima, S.
Essential spectrum for Brox-type diffusion processes Fukushima, S
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.720662Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7f8a219d-41cb-42f0-ad5d-c133911564f8 · outbound
This paper cites Fukushima, Y.
Essential spectrum for Brox-type diffusion processes Fukushima, Y
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.714601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e53afb81-f434-400f-a095-02bc44c762c4 · outbound
This paper cites Havlin and D.
Essential spectrum for Brox-type diffusion processes Havlin and D
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.722433Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 92aa4d6d-f016-4804-8b7a-7986561e8a18 · outbound
This paper cites Itˆ o, On the ergodicity of a certain stationary process.Proc.
Essential spectrum for Brox-type diffusion processes Itˆ o, On the ergodicity of a certain stationary process.Proc
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.697840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ac7f3994-aae5-4992-aa1d-25a4153dff92 · outbound
This paper cites Khintchine, Zwei S¨ atze ¨ uber stochastische Prozesse mit stabilen Verteilungen,Rec.
Essential spectrum for Brox-type diffusion processes Khintchine, Zwei S¨ atze ¨ uber stochastische Prozesse mit stabilen Verteilungen,Rec
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.710717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 797a509e-f36f-498e-a939-402939c4d305 · outbound
This paper cites Kim and S.
Essential spectrum for Brox-type diffusion processes Kim and S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.708545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 34e6f0e3-b222-48f2-91c8-1b0cbf661a5c · outbound
This paper cites Kˆ ono, Asymptotic behavior of sample functions of Gaussian random fields,J.
Essential spectrum for Brox-type diffusion processes Kˆ ono, Asymptotic behavior of sample functions of Gaussian random fields,J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.696245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ba8a8965-01c7-4992-bb1a-1d857edbb834 · outbound
This paper cites K¨ uhn and R.
Essential spectrum for Brox-type diffusion processes K¨ uhn and R
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.705425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 25035d03-8140-4075-a588-4a478004a845 · outbound
This paper cites Kusuoka, H.
Essential spectrum for Brox-type diffusion processes Kusuoka, H
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.716446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 453e1bb0-3a86-40ca-926e-48f872e59a49 · outbound
This paper cites Kusuoka, H.
Essential spectrum for Brox-type diffusion processes Kusuoka, H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.718802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f71b4e4c-cc35-4695-8db9-7352d4bf0dc3 · outbound
This paper cites Kusuoka, H.
Essential spectrum for Brox-type diffusion processes Kusuoka, H
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.722227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation cc481b34-00fb-429b-aa30-ec8a40e64877 · outbound
This paper cites Lifshits,Lectures on Gaussian Processes, SpringerBriefs Math., Springer, Heidelberg, 2012.
Essential spectrum for Brox-type diffusion processes Lifshits,Lectures on Gaussian Processes, SpringerBriefs Math., Springer, Heidelberg, 2012
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.716880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1e24dc46-759d-49f9-9446-0d2ba315aaac · outbound
This paper cites Maejima and K.
Essential spectrum for Brox-type diffusion processes Maejima and K
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.725976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 09fb3ae8-c3d9-445d-aa3a-155796ff6bf0 · outbound
This paper cites Mathieu, Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium,Probab.
Essential spectrum for Brox-type diffusion processes Mathieu, Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium,Probab
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.724275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 7dcc6c04-2ef0-4905-b331-3abd89a11975 · outbound
This paper cites Growth and spectrum of diffusions.
Essential spectrum for Brox-type diffusion processes Growth and spectrum of diffusions
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T12:06:13.625933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9a6483c4-dfba-422f-b1db-ce76e0fe97f2 · outbound
This paper cites Orey, Growth rate of certain Gaussian processes, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ.
Essential spectrum for Brox-type diffusion processes Orey, Growth rate of certain Gaussian processes, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.701777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 498422be-46c0-4d3e-b2d1-abab5f11f4b8 · outbound
This paper cites Pavliotis,Stochastic Processes and Applications, Springer, New York, 2014.
Essential spectrum for Brox-type diffusion processes Pavliotis,Stochastic Processes and Applications, Springer, New York, 2014
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.708889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e0474e8d-68cb-4073-942a-78cbe221ce35 · outbound
This paper cites an unresolved cited work.
Essential spectrum for Brox-type diffusion processes Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T12:06:13.730388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 35b6602d-c89b-4f54-9154-574113fac6c9 · outbound
This paper cites Sato,L´ evy Processes and Infinitely Divisible Distributions, Revised edition, Cambridge University Press, Cambridge, 2013.
Essential spectrum for Brox-type diffusion processes Sato,L´ evy Processes and Infinitely Divisible Distributions, Revised edition, Cambridge University Press, Cambridge, 2013
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.714382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation c68681c6-1fdf-495b-a88d-4a3b6a081214 · outbound
This paper cites Shiozawa, Volume growth, big jump, and essential spectrum for regular Dirichlet forms, Integral Equations Operator Theory97(2025), article number 31, 35pp.
Essential spectrum for Brox-type diffusion processes Shiozawa, Volume growth, big jump, and essential spectrum for regular Dirichlet forms, Integral Equations Operator Theory97(2025), article number 31, 35pp
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.703541Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d0bead52-4812-4c1e-8e14-987d9bb95c74 · outbound
This paper cites Tanaka, Recurrence of a diffusion process in a multidimensional Brownian environment, Proc.
Essential spectrum for Brox-type diffusion processes Tanaka, Recurrence of a diffusion process in a multidimensional Brownian environment, Proc
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.694844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 11124c84-764e-4ce7-b642-1763723f0663 · outbound
This paper cites Walters,An Introduction to Ergodic Theory, Springer-Verlag, New York-Berlin, 1982.
Essential spectrum for Brox-type diffusion processes Walters,An Introduction to Ergodic Theory, Springer-Verlag, New York-Berlin, 1982
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.718622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 2266bffc-3753-4d44-ac8f-e9569e0adc5a · outbound
This paper cites Wang,Functional Inequalities, Markov Processes and Spectral Theory, Science Press, Beijing, 2005.
Essential spectrum for Brox-type diffusion processes Wang,Functional Inequalities, Markov Processes and Spectral Theory, Science Press, Beijing, 2005
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T12:06:13.712328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
No inbound Pith citation observations are available.