Paper Citation Record · LEDGER

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.13781.

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

pith.paper-citation-record.v1
2411.13781 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:21:39.782659Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy14
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c1558dc-439a-4d0f-bbff-350840edb17f · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:40.053172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c32def2a-9bdb-4fa7-89ec-de710fe2f0e5 · outbound

This paper cites Carr` ere, Spreading speeds for a two-species competition- diﬀusion system, J.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Carr` ere, Spreading speeds for a two-species competition- diﬀusion system, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:40.042083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 41ca9915-2889-405a-96c0-a9c2815550fd · outbound

This paper cites Ducrot, T.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Ducrot, T

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:40.031263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 01b4fb5f-4dd6-4559-8af4-66cf8e44f412 · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:40.018923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 87eb28c8-a914-44b0-b011-a047f257506e · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:40.008922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 146f0f0e-31cc-4388-beb0-3be059e33053 · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.996876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 322a37ad-ad7b-450e-bb7d-e9860bb810bb · outbound

This paper cites Guo, Front propagation and blocking of reaction–diﬀusion sys tems in cylinders, London Mathematical Society.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Guo, Front propagation and blocking of reaction–diﬀusion sys tems in cylinders, London Mathematical Society

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.987316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a2070275-3b63-411c-83d8-8dc8adef0332 · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.977817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2f132cc9-5e5f-42bc-8367-8ce0a8d213ee · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.969076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 83d83d74-2f04-4a5c-bb09-dd43f5ceeee1 · outbound

This paper cites Girardin, K.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Girardin, K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.959015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 38261cdd-4288-4186-8b28-049380bb6e9c · outbound

This paper cites Girardin, The eﬀect of random dispersal on competitive exclu sion-a review, Math.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Girardin, The eﬀect of random dispersal on competitive exclu sion-a review, Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.950069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf5c0b52-142e-408e-a369-a20dfee14444 · outbound

This paper cites Girardin, G.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Girardin, G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.939766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2440ddff-143a-48bb-a171-f3576613ea02 · outbound

This paper cites Hamel, Bistable transition fronts in RN , Adv.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Hamel, Bistable transition fronts in RN , Adv

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.930835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 21c0f9c0-0958-489e-90a0-400793132b3d · outbound

This paper cites Hamel, J.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Hamel, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.921559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 70927abe-efed-4fa0-bebd-ab757b164d94 · outbound

This paper cites Hamel, L.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Hamel, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.911546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbbe70bb-bd7a-4a9a-a666-88c6d9a244c9 · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.901171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a041ba26-65ac-410b-84b7-0ec90b611357 · outbound

This paper cites Kan-On, Parameter dependence of propagation speed of t ravelling waves for competition-diﬀusion equations, SIAM J.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Kan-On, Parameter dependence of propagation speed of t ravelling waves for competition-diﬀusion equations, SIAM J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.891593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40e30fa1-f475-4e2f-badb-a016c0a140be · outbound

This paper cites Kan-On, Q.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Kan-On, Q

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.881357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14310978-9987-471a-8f59-5b62dd293e89 · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.871578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9bd67ab8-a1f3-4175-983c-771a3839d4de · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.862134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20f15649-d34d-44d5-ba82-d70489ba743d · outbound

This paper cites Morita, K.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Morita, K

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.852406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 55394596-7ff9-4f1d-b81a-2fd71aeb2ff2 · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.842890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2cd7eb6f-b54b-467a-b298-fc783facdd4a · outbound

This paper cites an unresolved cited work.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:21:39.832715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bd5062d6-967c-4e49-9588-e6d979e0bdbb · outbound

This paper cites Rodrigo, M.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Rodrigo, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.823221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4d4d7409-b7ad-4c9f-9987-392726f71a71 · outbound

This paper cites Uchiyama, Asymptotic Behavior of Solutions of Reaction-Diﬀu sion Equations with Varying Drift Coeﬃcients, Arch.

Asymptotic speeds of spreading for the Lotka-Volterra system with strong competition in $\mathbb{R}^N$ Uchiyama, Asymptotic Behavior of Solutions of Reaction-Diﬀu sion Equations with Varying Drift Coeﬃcients, Arch

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:21:39.813145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.