Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Ofer Busani"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
Externí odkaz:
https://doaj.org/article/5ffe57381f7a4e7dbb8b7c5b13da282d
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics throu
Externí odkaz:
https://doaj.org/article/b77a6d12e4db4405ae57eedc7c861e95
We study the decay of the covariance of the Airy$_1$ process, $\mathcal{A}_1$, a stationary stochastic process on $\mathbb{R}$ that arises as a universal scaling limit in the Kardar-Parisi-Zhang (KPZ) universality class. We show that the decay is sup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5808f3241b3cff35ba2dbbb4ca280b2a
Autor:
Ofer Busani, Patrik L. Ferrari
Publikováno v:
The Annals of Probability. 50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39a43c6525f8b2a526b254c9c734e2f0
https://doi.org/10.1214/21-aop1530
https://doi.org/10.1214/21-aop1530
Autor:
Ofer Busani, Timo Seppäläinen
Publikováno v:
Electronic Journal of Probability. 27
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9ddb7b0605a6700d22335340108b75d
https://doi.org/10.1214/21-ejp731
https://doi.org/10.1214/21-ejp731
Publikováno v:
Forum of Mathematics, Sigma. 9
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb34b79aeb3ab5e07a6f04fde7c1a148
https://doi.org/10.1017/fms.2021.51
https://doi.org/10.1017/fms.2021.51
We consider point to point last passage times to every vertex in a neighbourhood of size $\delta N^{\frac{2}{3}}$, distance $N$ away from the starting point. The increments of these last passage times in this neighbourhood are shown to be jointly equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84f9558cdd638d3a988a2ad42a8da7f3
http://arxiv.org/abs/2001.03961
http://arxiv.org/abs/2001.03961
Publikováno v:
Forum of Mathematics, Sigma. 8
This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics throug
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5de63700a8f0d51379cf96df51a1839b
https://doi.org/10.1017/fms.2020.31
https://doi.org/10.1017/fms.2020.31
Autor:
Ofer Busani, Timo Seppäläinen
Publikováno v:
Latin American Journal of Probability and Mathematical Statistics. 19:51
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac92623cc0c674bb99f31613315b5cdc
https://doi.org/10.30757/alea.v19-03
https://doi.org/10.30757/alea.v19-03
In [AAV] Amir, Angel and Valk{\'o} studied a multi-type version of the totally asymmetric simple exclusion process (TASEP) and introduced the TASEP speed process, which allowed them to answer delicate questions about the joint distribution of the spe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9578d808e338e2456989c14cf9e4c15
http://arxiv.org/abs/1911.06504
http://arxiv.org/abs/1911.06504