Random walks in Dirichlet random environment in dimension $d+1$ | Paper Citation Record

Observation 7bb57063-633d-46fe-aed6-dc3ab4978592 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 1

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Observation 995b2b72-9a9b-4f87-a13a-8281c3d2e4b1 · outbound

This paper cites Moreover in general dimensiond, the random walk satisfies a local central limit theorem [24].

Random walks in Dirichlet random environment in dimension $d+1$ Moreover in general dimensiond, the random walk satisfies a local central limit theorem [24]

Reference 2

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Observation 8defa633-632f-4654-99c0-81eb5d3dda30 · outbound

This paper cites At least one of theu i is zero.

Random walks in Dirichlet random environment in dimension $d+1$ At least one of theu i is zero

Reference 3

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Observation 20c19231-2d7a-4b35-b843-05410e589b28 · outbound

This paper cites As a consequence, it was predicted that for anyv̸= 0 ind= 2, and forv >v c ind= 3, the fluctuations of logP(X(t) =tv) scale ast β at larget, whereβis the DP exponent in dimensiond.

Random walks in Dirichlet random environment in dimension $d+1$ As a consequence, it was predicted that for anyv̸= 0 ind= 2, and forv >v c ind= 3, the fluctuations of logP(X(t) =tv) scale ast β at larget, whereβis the DP exponent in dimensiond

Reference 4

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Observation 22bfdea1-1d6d-4ff6-b0a4-caccfcceec7f · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 5

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Observation 6ae5c82f-183d-404c-b1e7-7983a41e0efe · outbound

This paper cites The vectoru∈(R +)d+1 is chosen so thatu 1 + ···+u d+1 = 1,u̸=d.

Random walks in Dirichlet random environment in dimension $d+1$ The vectoru∈(R +)d+1 is chosen so thatu 1 + ···+u d+1 = 1,u̸=d

Reference 6

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Observation 79e30c24-a1e4-4f95-88c1-c10b1f3ebed1 · outbound

This paper cites Corwin and Y.

Random walks in Dirichlet random environment in dimension $d+1$ Corwin and Y

Reference 7

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Observation 1e0b4f3a-0d8b-4687-9ea1-4a30d09894e4 · outbound

This paper cites 3 for four vec- tors: the diagonalu=d= (1/2,1/2), off diagonal vectorsu= (2/3,1/3),u= (10/11,1/11) and an edge (1,0).

Random walks in Dirichlet random environment in dimension $d+1$ 3 for four vec- tors: the diagonalu=d= (1/2,1/2), off diagonal vectorsu= (2/3,1/3),u= (10/11,1/11) and an edge (1,0)

Reference 8

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Observation c4e3fbb1-cb75-4f46-acfa-a936554ef9ac · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 9

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Observation 256adc29-f73b-4d71-8c7f-59d7072e695e · outbound

This paper cites Our results are shown in Fig.

Random walks in Dirichlet random environment in dimension $d+1$ Our results are shown in Fig

Reference 10

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Observation f494add9-10c9-42bb-82b4-81dd2f04e748 · outbound

This paper cites Parekh, arXiv:2401.06073 (2024).

Random walks in Dirichlet random environment in dimension $d+1$ Parekh, arXiv:2401.06073 (2024)

Reference 11

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Observation d54694c7-ddb3-4f71-9b56-0a75f83f00fb · outbound

This paper cites The sec- ond moment (Zt)2 is shown in Fig.

Random walks in Dirichlet random environment in dimension $d+1$ The sec- ond moment (Zt)2 is shown in Fig

Reference 12

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Observation 5aadb0b9-c190-4de7-a701-ce4620564073 · outbound

This paper cites (36) and (37), both shown in Fig.

Random walks in Dirichlet random environment in dimension $d+1$ (36) and (37), both shown in Fig

Reference 13

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Observation d8cb44af-bcb2-42fc-827d-6e3c649ad8c9 · outbound

This paper cites Kardar, G.

Random walks in Dirichlet random environment in dimension $d+1$ Kardar, G

Reference 14

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Observation 82baecf3-252e-4907-9720-4b7f1275f5ec · outbound

This paper cites Barraquand and I.

Random walks in Dirichlet random environment in dimension $d+1$ Barraquand and I

Reference 15

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Observation 729b9eca-0fd2-493a-afaa-e0dd5f43b101 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 16

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Observation 8492641a-9a0a-49e1-84e5-606517024d62 · outbound

This paper cites Le Doussal and T.

Random walks in Dirichlet random environment in dimension $d+1$ Le Doussal and T

Reference 17

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Observation d96df5a5-c05b-44c4-beb8-ea602754d780 · outbound

This paper cites Thiery and P.

Random walks in Dirichlet random environment in dimension $d+1$ Thiery and P

Reference 18

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Observation d73396c3-b4dc-497f-b7ca-d7c004b5cce0 · outbound

This paper cites Barraquand and P.

Random walks in Dirichlet random environment in dimension $d+1$ Barraquand and P

Reference 19

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Observation ee65ab15-0b54-4310-8070-809b61828b10 · outbound

This paper cites Coincidence of critical points for directed polymers for general environments and random walks.

Random walks in Dirichlet random environment in dimension $d+1$ Coincidence of critical points for directed polymers for general environments and random walks

Reference 20

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Observation 827f322a-32af-4815-83d6-2c5911c7c824 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 21

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Observation 9b464d20-a5ae-4092-82f4-ba5c795b62c9 · outbound

This paper cites Large Deviations For Sticky Brownian Motions.

Random walks in Dirichlet random environment in dimension $d+1$ Large Deviations For Sticky Brownian Motions

Reference 22

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Observation 0d0f78fd-6d3f-4e60-9c65-3d46e4fdd8fb · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 23

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Observation 5dc699b8-98d2-4967-a843-873fc704cb4a · outbound

This paper cites KPZ equation limit of sticky Brownian motion.

Random walks in Dirichlet random environment in dimension $d+1$ KPZ equation limit of sticky Brownian motion

Reference 24

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Observation 2b3f6ec8-1d9d-4970-8d7c-aff0c2f63dc6 · outbound

This paper cites Convergence of the KMP model to the KPZ equation.

Random walks in Dirichlet random environment in dimension $d+1$ Convergence of the KMP model to the KPZ equation

Reference 25

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Observation 9d89b66a-964c-4ad8-b868-0d14ed9ef3cf · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 26

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 27

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Observation 4ab3d276-d28f-4f7d-a52b-0a735a36a11c · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 28

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Observation 10f0f37e-ff96-413a-a3e3-34b46d46383c · outbound

This paper cites Super-Universal Behavior of Outliers Diffusing in a Space-Time Random Environment.

Random walks in Dirichlet random environment in dimension $d+1$ Super-Universal Behavior of Outliers Diffusing in a Space-Time Random Environment

Reference 29

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Observation 7bdcc2a6-a794-40a8-b90f-aa91183c147b · outbound

This paper cites Universal KPZ Fluctuations for Moderate Deviations of Random Walks in Random Environments.

Random walks in Dirichlet random environment in dimension $d+1$ Universal KPZ Fluctuations for Moderate Deviations of Random Walks in Random Environments

Reference 30

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Observation a4d920c4-7066-4b09-b385-38e8f3e17efb · outbound

This paper cites Monthus and T.

Random walks in Dirichlet random environment in dimension $d+1$ Monthus and T

Reference 31

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Observation 7e6412c0-631b-4f73-b516-2bb3b4f1c6c6 · outbound

This paper cites Junk and H.

Random walks in Dirichlet random environment in dimension $d+1$ Junk and H

Reference 32

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Observation e9d184bb-6be3-4408-aec3-62e2c317401d · outbound

This paper cites Pagnani and G.

Random walks in Dirichlet random environment in dimension $d+1$ Pagnani and G

Reference 33

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Observation e6b65061-1be6-487c-9ac6-1e9ae89a727d · outbound

This paper cites Drillick and S.

Random walks in Dirichlet random environment in dimension $d+1$ Drillick and S

Reference 34

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Observation b442c4de-1816-4e17-b45e-1a29536fdd56 · outbound

This paper cites Universal Fluctuations in the Tail Probability for d=2 Random Walks in Space-Time Random Environments.

Random walks in Dirichlet random environment in dimension $d+1$ Universal Fluctuations in the Tail Probability for d=2 Random Walks in Space-Time Random Environments

Reference 35

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Observation d68c73ef-fc16-44e5-b256-3297ea96cba8 · outbound

This paper cites Rassoul-Agha and T.

Random walks in Dirichlet random environment in dimension $d+1$ Rassoul-Agha and T

Reference 36

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Observation 290264d7-e4c2-4f7f-8155-903be8500be5 · outbound

This paper cites Boldrighini, R.

Random walks in Dirichlet random environment in dimension $d+1$ Boldrighini, R

Reference 37

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Observation 49d814fe-aeab-4c64-8d72-d173d0542844 · outbound

This paper cites Quenched Free Energy and Large Deviations for Random Walks in Random Potentials.

Random walks in Dirichlet random environment in dimension $d+1$ Quenched Free Energy and Large Deviations for Random Walks in Random Potentials

Reference 38

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Observation 4bcb3d28-1cf4-4449-b2ad-a2e929d14495 · outbound

This paper cites Korotkikh, Probability Theory and Related Fields184, 493 (2022).

Random walks in Dirichlet random environment in dimension $d+1$ Korotkikh, Probability Theory and Related Fields184, 493 (2022)

Reference 39

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Observation a942c98d-4b11-47e2-970e-c4e8244e0a8f · outbound

This paper cites The crossover from the Macroscopic Fluctuation Theory to the Kardar-Parisi-Zhang equation controls the large deviations beyond Einstein's diffusion.

Random walks in Dirichlet random environment in dimension $d+1$ The crossover from the Macroscopic Fluctuation Theory to the Kardar-Parisi-Zhang equation controls the large deviations beyond Einstein's diffusion

Reference 40

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Observation e93e37fc-0ee6-480d-960e-1d0160805e59 · outbound

This paper cites Probing the large deviations for the Beta random walk in random medium.

Random walks in Dirichlet random environment in dimension $d+1$ Probing the large deviations for the Beta random walk in random medium

Reference 41

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Observation 2271d64a-4b9c-4858-8182-ada695eacdb4 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 42

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Observation ada06a9a-af5a-4bfe-bfdd-fb687c8b4c64 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 43

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Observation 752d568b-64e6-4c9c-a692-13b14c9e1586 · outbound

This paper cites Barraquand and M.

Random walks in Dirichlet random environment in dimension $d+1$ Barraquand and M

Reference 44

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Observation 19653c7f-6a5d-4335-8946-edc4d94a618e · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 45

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Observation a5159867-51d3-476b-939f-fc8db146c9b7 · outbound

This paper cites an unresolved cited work.

Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 46

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Observation da0b3e02-eded-49a3-8f21-e759a233e3be · outbound

This paper cites ´Odor, B.

Random walks in Dirichlet random environment in dimension $d+1$ ´Odor, B

Reference 47

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Observation 37973a72-e6ef-45cc-8943-e529b8f050b7 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 48

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Observation 23943a5a-d94a-4edd-bc70-9a0bdc35710b · outbound

This paper cites Forster, D.

Random walks in Dirichlet random environment in dimension $d+1$ Forster, D

Reference 49

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 50

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 51

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Observation f55772ff-6ff4-48e7-90f1-737ed912d006 · outbound

This paper cites Marinari, A.

Random walks in Dirichlet random environment in dimension $d+1$ Marinari, A

Reference 52

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Observation 41b442dd-2d38-4fd1-82a4-a125fd1de012 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 53

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Observation 7aaa79fa-4ba3-43f1-b46b-cf622efcb131 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 54

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Observation 161eefdb-3179-4812-94c3-313e160233c9 · outbound

This paper cites The tail distribution of the partition function for directed polymer in the weak disorder phase.

Random walks in Dirichlet random environment in dimension $d+1$ The tail distribution of the partition function for directed polymer in the weak disorder phase

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Observation 8442ce10-d892-46ef-ae6d-ca7ff56ef033 · outbound

This paper cites Meerson, P.

Random walks in Dirichlet random environment in dimension $d+1$ Meerson, P

Reference 56

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Observation 56a83083-0dd1-467a-9d73-2cba19d0800e · outbound

This paper cites The localization transition for the directed polymer in a random environment is smooth.

Random walks in Dirichlet random environment in dimension $d+1$ The localization transition for the directed polymer in a random environment is smooth

Reference 57

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Observation 17f1296f-428d-4963-9296-544bdf76a17f · outbound

This paper cites Halpin-Healy, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics88, 042118 (2013).

Random walks in Dirichlet random environment in dimension $d+1$ Halpin-Healy, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics88, 042118 (2013)

Reference 58

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Observation e3ddc647-af00-4be3-9943-5c4ac3adc4d8 · outbound

This paper cites Friedberg and Y.-K.

Random walks in Dirichlet random environment in dimension $d+1$ Friedberg and Y.-K

Reference 59

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Observation 5b07f148-bf6e-49be-a90c-1edff01396ed · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 60

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Observation 6c5fb2d8-f6d6-4a2e-8732-c8aa36b5f0b7 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 61

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Observation 412a8dd1-f62b-4e1d-abbb-bf1477e772fb · outbound

This paper cites Erdos and S.

Random walks in Dirichlet random environment in dimension $d+1$ Erdos and S

Reference 62

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Observation 1372eed8-5e31-4a1f-a564-fbd96a585145 · outbound

This paper cites Appendix A: Sample to sample variance of the thermal average In this section, we explain how to obtain the estimate (47) for the sample to sample variance of the thermal average.

Random walks in Dirichlet random environment in dimension $d+1$ Appendix A: Sample to sample variance of the thermal average In this section, we explain how to obtain the estimate (47) for the sample to sample variance of the thermal average

Reference 63

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Observation 095803cc-6cd5-4027-92c7-31d708db19af · outbound

This paper cites Consider two random walksX 1(t),X 2(t) in the same environment.

Random walks in Dirichlet random environment in dimension $d+1$ Consider two random walksX 1(t),X 2(t) in the same environment

Reference 64

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

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Observation b3fefd62-b69c-43c9-a246-0e419fc41c81 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 66

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This paper cites In order to arrive at the pointvts 1, the walk must makessteps towardss 1 andt−ssteps in other directions, withss 1·s 1 +(t−s)s 1·s 2 =vts 1·s 1.

Random walks in Dirichlet random environment in dimension $d+1$ In order to arrive at the pointvts 1, the walk must makessteps towardss 1 andt−ssteps in other directions, withss 1·s 1 +(t−s)s 1·s 2 =vts 1·s 1

Reference 67

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 68

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Observation 200c9c78-4387-4350-8883-a5a8ac53ec48 · outbound

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Random walks in Dirichlet random environment in dimension $d+1$ Unresolved cited work

Reference 69

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Observation 9a4cfa6f-87a6-41a7-b580-77bda8c26d4e · outbound

This paper cites From [42] (see also [19, 20, 44] ) we expect that this limit distribution has a power law tail with exponentµ(v)>µ(v c) = 1 + 2/d, i.e.,µ(vc) = 5/3 ind= 3.

Random walks in Dirichlet random environment in dimension $d+1$ From [42] (see also [19, 20, 44] ) we expect that this limit distribution has a power law tail with exponentµ(v)>µ(v c) = 1 + 2/d, i.e.,µ(vc) = 5/3 ind= 3

Reference 70

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