Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:49:37.692202Z
Paper Citation Record · LEDGER
Some inequalities for reversible Markov chains and branching random walks via spectral optimization
As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.08525.
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 2026-08-15T06:32:42.880941+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
25 of 25 outbound references displayed
- verified exact3
- verified fuzzy12
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 81e55f06-1cd0-4dd9-aa8d-a3229d300f78 · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:38.203727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 51b69965-34ee-4d95-8bd1-c7d92fd2ae84 · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:38.190407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a7406e8f-e816-4230-a81b-8d82eb32a02f · outbound
This paper cites Journal of the London Mathematical Society, 2(3):564–576, 1982.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Journal of the London Mathematical Society, 2(3):564–576, 1982
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.176586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e93a4cce-d12b-4880-9017-d199c8b85ff4 · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:38.160695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 35765326-49ee-4afe-823e-54cd21f2c903 · outbound
This paper cites Unfinished manuscript.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unfinished manuscript
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.147273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f87eca75-8865-422d-8fe0-5622e62c99ab · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:38.133095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fdfbdc93-a828-49f9-b8b1-ca4fc7feb106 · outbound
This paper cites Y., and Saloff-Coste, L., The cutoff phenomenon for erg odic Markov processes.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Y., and Saloff-Coste, L., The cutoff phenomenon for erg odic Markov processes
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.121034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ff1c1512-f497-4809-8e1e-febd2e256832 · outbound
This paper cites Sensitivity of mixing times.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Sensitivity of mixing times
Reference 8
- Resolution
- verified exact
- raw_fallback, observed 2026-08-14T11:49:37.939202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8eac1216-c48d-4660-9790-52e22b2c0ab5 · outbound
This paper cites Total variation cutoff in birt h-and-death chains.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Total variation cutoff in birt h-and-death chains
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.107070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 08a913a0-b350-4995-ac8b-74de87884fa7 · outbound
This paper cites Markov Process.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Markov Process
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.089263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 926660c9-4784-466e-963e-4fafc028ec04 · outbound
This paper cites A spectral characterization for concentration of the cover time.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization A spectral characterization for concentration of the cover time
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:49:37.876258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 41e5b8e1-4fd7-4aee-976a-eb720ead28c0 · outbound
This paper cites ALEA Lat.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization ALEA Lat
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.075608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 31b7a62f-b5d9-463c-8519-3a5846063ec8 · outbound
This paper cites On sensitivity of uniform mixing times.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization On sensitivity of uniform mixing times
Reference 13
- Resolution
- verified exact
- raw_fallback, observed 2026-08-14T11:49:37.860670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3f0a8f67-bcf2-4367-9aff-f4e985b93f4e · outbound
This paper cites Sensitivity of mixing times of Cayley graphs.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Sensitivity of mixing times of Cayley graphs
Reference 14
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T11:49:37.744047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f4fab28d-758a-45f3-a6d5-9236e8ec2aa7 · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:38.059739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 50c19d65-4ce2-4015-8cdc-9412954e5862 · outbound
This paper cites Electron.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Electron
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.047974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2bee785e-7130-4f07-a637-a70c216c366d · outbound
This paper cites Applie d Mathematical Sciences, 28.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Applie d Mathematical Sciences, 28
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.036495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6ec6114b-a9c7-43bf-bc5f-fb8043bcbfa2 · outbound
This paper cites Markov chains and mixing times.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Markov chains and mixing times
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.025435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 757e5f98-98ab-41aa-b01b-c1c8410a34ae · outbound
This paper cites Cambridge Series in Statistical and Probabilistic Mathematics, 42.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Cambridge Series in Statistical and Probabilistic Mathematics, 42
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:38.013483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 490c2572-6658-43c4-873d-832ef9346ef1 · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:38.002034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4817f029-5c8e-42bd-bc5c-f7ea0ab555b3 · outbound
This paper cites Electron.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Electron
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:37.989402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cc8de1c8-d137-4118-b676-ac0cf221d90b · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:37.978043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 466ee0ea-d1d0-4450-8963-69be40dfd8a5 · outbound
This paper cites an unresolved cited work.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:49:37.964055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4a8f0931-4bca-438a-9da1-91760af861eb · outbound
This paper cites Electron.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Electron
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:49:37.951772Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0eed08d8-ece6-45ed-8f63-2b391c7a73df · outbound
This paper cites Cutoff for non-negatively curved Markov chains.
Some inequalities for reversible Markov chains and branching random walks via spectral optimization Cutoff for non-negatively curved Markov chains
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:49:37.692202Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.