Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Riddhipratim Basu"'
Autor:
Anirban Basak, Riddhipratim Basu
Publikováno v:
Communications on Pure and Applied Mathematics. 76:3-72
Publikováno v:
Communications in Mathematical Physics. 389:1-30
Bi-infinite geodesics are fundamental objects of interest in planar first passage percolation. A longstanding conjecture states that under mild conditions there are almost surely no bigeodesics; however, the result has not been proved in any case. Fo
Publikováno v:
Communications on Pure and Applied Mathematics. 74:1577-1640
For first passage percolation on $\mathbb{Z}^2$ with i.i.d. bounded edge weights, we consider the upper tail large deviation event; i.e., the rare situation where the first passage time between two points at distance $n$, is macroscopically larger th
Publikováno v:
Israel Journal of Mathematics. 242:291-324
For last passage percolation (LPP) on ℤ2 with exponential passage times, let Tn denote the passage time from (1, 1) to (n,n). We investigate the law of iterated logarithm of the sequence {Tn}n≥1; we show that $$\lim \,{\inf _{n \to \infty }}{{{T_
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
Publikováno v:
International Mathematics Research Notices. 2020:9769-9796
We show that for any centered stationary Gaussian process of integrable covariance, whose spectral measure has compact support, or finite exponential moments (and some additional regularity), the number of zeroes of the process in $[0,T]$ is within $
Publikováno v:
Ann. Probab. 49, no. 1 (2021), 485-505
In last passage percolation models lying in the Kardar-Parisi-Zhang universality class, maximizing paths that travel over distances of order $n$ accrue energy that fluctuates on scale $n^{1/3}$; and these paths deviate from the linear interpolation o
Autor:
Shirshendu Ganguly, Riddhipratim Basu
Publikováno v:
Progress in Probability ISBN: 9783030607531
For directed last passage percolation on \(\mathbb {Z}^2\) with exponential passage times on the vertices, let Tn denote the last passage time from (0, 0) to (n, n). We consider asymptotic two point correlation functions of the sequence Tn. In partic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fae7ec7c35b87ecd0d0622df426b99be
https://doi.org/10.1007/978-3-030-60754-8_5
https://doi.org/10.1007/978-3-030-60754-8_5
Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison
We consider directed last passage percolation on $\mathbb{Z}^2$ with exponential passage times on the vertices. A topic of great interest is the coupling structure of the weights of geodesics as the endpoints are varied spatially and temporally. A pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8185ae9822f4e6bf6cdd146704a841ec
http://arxiv.org/abs/1912.04891
http://arxiv.org/abs/1912.04891
Autor:
Shirshendu Ganguly, Riddhipratim Basu
Publikováno v:
Communications on Pure and Applied Mathematics. 71:2016-2064
Lattice Gauge theories have been studied in the physics literature as discrete approximations to quantum Yang-Mills theory for a long time. Primary statistics of interest in these models are expectations of the so called "Wilson loop variables". In t