Paper Citation Record · LEDGER

Characterization of subordinate symmetric Markov processes

As of 17 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2412.05030.

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

pith.paper-citation-record.v1
2412.05030 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:14:37.340708Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy12
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b3d1bed8-b485-4e51-9b67-0655495d47fd · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.881124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cf21fe15-712b-462c-a1bc-6758363be0e7 · outbound

This paper cites Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces.

Characterization of subordinate symmetric Markov processes Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:14:37.398486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c3ebdde8-001a-459f-8f5e-019a60c7a99b · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.864464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1607a95d-3c18-40c2-855e-1b5a5840e43f · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.848533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d86be40f-95ef-46e1-97eb-4821f7dd059a · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.831386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 24783f34-7c22-4ef0-a203-a84e08345051 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.815246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f8df9311-6205-426f-8517-884792f03437 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.793538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bf4b2f67-31f3-4349-bf74-d1c532f0be69 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.773756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bba27c5d-0730-4d6a-89f5-e209c43654e1 · outbound

This paper cites Bogdan, A.

Characterization of subordinate symmetric Markov processes Bogdan, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.757142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ee056199-6a3d-4692-9355-93f3090e457f · outbound

This paper cites Chen and T.

Characterization of subordinate symmetric Markov processes Chen and T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.739103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 87192ad4-23a8-4302-b103-83edac8d3861 · outbound

This paper cites Chen and T.

Characterization of subordinate symmetric Markov processes Chen and T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.721725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cca9f4ae-8013-4d5e-971e-770b1d3dc5a5 · outbound

This paper cites Chen and T.

Characterization of subordinate symmetric Markov processes Chen and T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.700868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd2408e2-5c63-4bf3-90b3-09e498172c8b · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.682306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a7eb82f9-234e-472c-b4cd-137c760a710d · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.662696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 67a26a5f-f6d0-4e02-8d3a-bef9637cc8ef · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.641580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2a31edc3-a148-41fc-9dd8-51d18f1a4d4f · outbound

This paper cites Fukushima, Y.

Characterization of subordinate symmetric Markov processes Fukushima, Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.624218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d5306d0a-c9f2-498c-9981-c9a2c96613e8 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.608754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d9dc3e90-f27f-461b-b9a6-6ec8507dae23 · outbound

This paper cites Kim and A.

Characterization of subordinate symmetric Markov processes Kim and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.589369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2250d57b-1a6e-4ead-a876-1b1743e687b8 · outbound

This paper cites Kim and A.

Characterization of subordinate symmetric Markov processes Kim and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.572344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 63b5aed7-e318-4208-81a9-60d6014502bb · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.555346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d65b3942-5690-425f-bc70-df3a903e8667 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.532998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d4b1bd5c-9cae-4cc5-a10c-16ffc19c87a4 · outbound

This paper cites Kumagai, Some remarks for stable-like jump processes on fractals, in Fractals in Graz 2001, 185–196, Trends Math., Birkh¨auser, Basel, ; MR2091704.

Characterization of subordinate symmetric Markov processes Kumagai, Some remarks for stable-like jump processes on fractals, in Fractals in Graz 2001, 185–196, Trends Math., Birkh¨auser, Basel, ; MR2091704

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.514773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3c8584b4-4658-40c1-b97e-a2f055e20c30 · outbound

This paper cites Liu and M.

Characterization of subordinate symmetric Markov processes Liu and M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.491881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c243c783-d4fd-45f1-ba7d-403894aacddb · outbound

This paper cites Mimica, Heat kernel estimates for subordinate Brownian motions, Proc.

Characterization of subordinate symmetric Markov processes Mimica, Heat kernel estimates for subordinate Brownian motions, Proc

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.472150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9e5aeb24-f31b-48cc-b80b-46580f60a535 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:37.451587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f6009f1c-f864-4335-a411-557994263009 · outbound

This paper cites ˆOkura, Recurrence and transience criteria for subordinated symmetric Markov processes, Forum Math.

Characterization of subordinate symmetric Markov processes ˆOkura, Recurrence and transience criteria for subordinated symmetric Markov processes, Forum Math

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.433011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4b38beb1-180a-4ea7-aeab-06e20ff5dd58 · outbound

This paper cites Song and Z.

Characterization of subordinate symmetric Markov processes Song and Z

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:37.415941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.