Paper Citation Record · LEDGER

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes

As of 16 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:1908.02053.

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

pith.paper-citation-record.v1
1908.02053 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:03:17.330063Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

49 of 49 outbound references displayed

verified exact0
verified fuzzy31
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae0d5450-db0f-499e-a4f1-8aa6e71f5db7 · outbound

This paper cites In order to ﬁnd the leading behavior of the second term of Eq.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes In order to ﬁnd the leading behavior of the second term of Eq

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.713291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7d679c9d-7004-4c9e-8cd3-f52d8abb734d · outbound

This paper cites In order to ﬁnd the leading behavior of the second term of Eq.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes In order to ﬁnd the leading behavior of the second term of Eq

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.706279Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5e7d00d6-6b4a-42a0-949b-320cb76e4280 · outbound

This paper cites Courbage, M.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Courbage, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.592904Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 101408c7-ef27-44a9-a56d-e42d41986751 · outbound

This paper cites Therefore we ﬁnd forn = 1 (I) π 4− sin−1 (√ 2R ) ≤β≤ cos−1(2R), (i) cos(β)− sin(β)−R≤b≤R, (D8) and (II) cos−1(2R)≤β≤ π 4, (ii) R− sin(β)≤b≤ cos(β)−R.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Therefore we ﬁnd forn = 1 (I) π 4− sin−1 (√ 2R ) ≤β≤ cos−1(2R), (i) cos(β)− sin(β)−R≤b≤R, (D8) and (II) cos−1(2R)≤β≤ π 4, (ii) R− sin(β)≤b≤ cos(β)−R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.649438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9950e9ff-0c0e-4099-a2fb-2bc55ed22bd8 · outbound

This paper cites (A8), and take the limit ofν→ ¯n, where ¯n is odd.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes (A8), and take the limit ofν→ ¯n, where ¯n is odd

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.698069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d2edb277-74e8-4845-8510-731b881a7358 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.689853Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 71a33237-5ac7-4326-a9ac-eb17813554ed · outbound

This paper cites In order to obtain the leading behavior of the second term of Eq.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes In order to obtain the leading behavior of the second term of Eq

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.680801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8727cdb5-bd63-495f-9c56-3d5ebe4357f4 · outbound

This paper cites eﬀective.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes eﬀective

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.726966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8099ddbd-77d8-4408-891e-54246ad1fdc9 · outbound

This paper cites In order to ﬁnd the leading behavior of Eq.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes In order to ﬁnd the leading behavior of Eq

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.673170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 07f6bf3f-aefc-4028-89db-de20e39ef2c6 · outbound

This paper cites (B13) We use L’Hospital’s rule¯n times to get l2 = (−1)¯n ¯n! lim u→0 {∫ ∞ 0 dτψ (τ)τ ¯ne−uτ +τ ¯n 0 [ ln(u) +H¯n ]} , (B14) where H¯n =∑¯n n=1 1 n is the ¯nth harmonic number.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes (B13) We use L’Hospital’s rule¯n times to get l2 = (−1)¯n ¯n! lim u→0 {∫ ∞ 0 dτψ (τ)τ ¯ne−uτ +τ ¯n 0 [ ln(u) +H¯n ]} , (B14) where H¯n =∑¯n n=1 1 n is the ¯nth harmonic number

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.665722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1cd2a843-d1a1-48ff-b127-79bad8e576d3 · outbound

This paper cites The pair{b,β} and the trio{x0,y 0,β} are related by a simple transformation.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes The pair{b,β} and the trio{x0,y 0,β} are related by a simple transformation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.657750Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ed6787d9-0c11-48a1-abbb-558ce2269e25 · outbound

This paper cites The pair{a,α} and the trio{x0,y 0,α} are related by a simple transformation.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes The pair{a,α} and the trio{x0,y 0,α} are related by a simple transformation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.641282Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 185ef031-fabe-4d76-962c-19c607be0503 · outbound

This paper cites (28) together with the integration boundaries Eqs.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes (28) together with the integration boundaries Eqs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.632801Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4966f7e8-ae1b-4a4b-a246-f4af3652d9b2 · outbound

This paper cites (28) into Eq.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes (28) into Eq

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.625013Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bfe5810f-aa7e-4d02-85cd-0589cfb94491 · outbound

This paper cites Sinceτ∗ 2n,D(a,α ) is the traveling distance to thenth upper semicircle, it is clear thatτ∗ 2n,D(a,α )≃ √ (2n + 2)2 +D2 when n is large.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Sinceτ∗ 2n,D(a,α ) is the traveling distance to thenth upper semicircle, it is clear thatτ∗ 2n,D(a,α )≃ √ (2n + 2)2 +D2 when n is large

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.617205Z

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Observation d1095640-2072-4bce-9294-dea09792541c · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.608504Z

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Observation d70a2566-8ae7-450a-8300-283c806d30d4 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.600583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 51a2b5c1-cf7b-462d-b1f8-07f2dc008fb2 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.483837Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 100b084b-6ed6-4bce-a680-efe3e31200fd · outbound

This paper cites Cristadoro, T.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Cristadoro, T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.584849Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9d554193-7e17-4782-a9af-dec530128a7b · outbound

This paper cites Cristadoro, T.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Cristadoro, T

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.577302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1ea4a6a8-3596-4e1f-a630-46de4ac39853 · outbound

This paper cites M.Feliczaki, E.Vicentini, andP.P.González-Borrero, Phys.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes M.Feliczaki, E.Vicentini, andP.P.González-Borrero, Phys

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.570537Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8154ebf4-b054-4eb7-bf01-18e14db24cb7 · outbound

This paper cites Klages, S.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Klages, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.563021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1100d27b-c2ec-4b07-ac2d-455449f8246c · outbound

This paper cites Displacement Autocorrelation Functions for Strong Anomalous Diffusion: A Scaling Form, Universal Behavior, and Corrections to Scaling.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Displacement Autocorrelation Functions for Strong Anomalous Diffusion: A Scaling Form, Universal Behavior, and Corrections to Scaling

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T15:03:17.266072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c38686cd-3a4c-4a19-bea6-28031e26ea5c · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.555614Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4bf30666-e63f-48d6-a0c1-cd537647eca2 · outbound

This paper cites Boldrighini, L.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Boldrighini, L

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.547367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 30c966a9-eb69-40a7-aa1c-352719d4d0b1 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.539688Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5b311551-a56c-4690-b399-30771b35988e · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.532129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bfa7f9fb-1df7-4114-8f4f-80a82b17da66 · outbound

This paper cites Dahlqvist,Nonlinearity 10, 159 (1997).

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Dahlqvist,Nonlinearity 10, 159 (1997)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.524492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 218f5be0-4001-4042-a30d-91a30da69bc9 · outbound

This paper cites Szász and T.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Szász and T

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.516624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a13fd57b-fa99-4887-a3cf-fcb90984b342 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.508643Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 844da2a5-164c-4027-b7ba-2c6ec0a75fd5 · outbound

This paper cites Chernov,J.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Chernov,J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.500741Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4611c4d6-7523-4402-89fb-8be7054796d3 · outbound

This paper cites gallery whis- pering paths.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes gallery whis- pering paths

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.720189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 07cdebbc-da12-4183-bb2a-323412c5b88c · outbound

This paper cites Chernov and H.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Chernov and H

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.492287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c5fc803-3fab-4df7-9e3d-b94be50d31ab · outbound

This paper cites Marklof and A.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Marklof and A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.476368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2b89a818-49bc-408a-a5dc-160b5b91a5af · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.467624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 09ce81bf-3c76-46f0-8f4b-2c8401b0a753 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.458716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f9fb9803-4e95-47e6-ae3f-1944cb039ff6 · outbound

This paper cites Marklof and B.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Marklof and B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.450467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 06180675-5092-41aa-8174-a0ca6960211b · outbound

This paper cites Zarfaty, A.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Zarfaty, A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.441464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9da4e6b4-1e7b-4060-94b6-58716142895d · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.433123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 172bebd6-341a-4206-8a67-baaad3f460f5 · outbound

This paper cites Zaburdaev, S.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Zaburdaev, S

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-14T15:03:17.306872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fe18d72-c589-4510-9974-1a86f0cca826 · outbound

This paper cites Zaburdaev, I.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Zaburdaev, I

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-14T15:03:17.309419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a561b79-28cf-49af-a197-fa25466760e4 · outbound

This paper cites Fouxon, S.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Fouxon, S

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.415321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 270223fa-aa00-4461-86b7-ef69fc706293 · outbound

This paper cites Börgersa and C.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Börgersa and C

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.406359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6e84b080-c6d6-4a1e-a407-31cbda53e7ba · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.397376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 52544f8e-3824-4c9f-8f4c-3120e4b3108f · outbound

This paper cites Gnedenko and A.N.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Gnedenko and A.N

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.390183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4dcb8cd6-12de-42fc-8d76-e120c2ad6613 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:03:17.382419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3536d8ff-7789-4232-8b88-6f9950acb638 · outbound

This paper cites Rebenshtok, S.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Rebenshtok, S

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:03:17.374418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0c51bbdc-d53b-42f2-8825-7a209d6043c1 · outbound

This paper cites Refined central limit theorem and infinite density tail of the Lorentz gas from Levy walk.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Refined central limit theorem and infinite density tail of the Lorentz gas from Levy walk

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-14T15:03:17.327129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9e721b2-d5bf-4f83-bf99-44df6954a972 · outbound

This paper cites an unresolved cited work.

Infinite horizon billiards: Transport at the border between Gauss and L\'evy universality classes Unresolved cited work

Reference 49

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