Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Promit Ghosal"'
Autor:
Promit Ghosal, Guilherme L. F. Silva
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We study multiplicative statistics for the eigenvalues of unitarily-invariant Hermitian random matrix models. We consider one-cut regular polynomial potentials and a large class of multiplicative statistics. We show that in the large matrix limit sev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b980c21c0d6185379f1e483608418951
Publikováno v:
Annales Henri Poincaré. 21:2259-2299
We develop a technique for proving number rigidity (in the sense of Ghosh and Peres in Duke Math J 166(10):1789–1858, 2017) of the spectrum of general random Schrodinger operators (RSOs). Our method makes use of Feynman–Kac formulas to estimate t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5422a2077cc0fdb1e7b9905176d8ab75
https://doi.org/10.1007/s00023-020-00921-5
https://doi.org/10.1007/s00023-020-00921-5
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity that is uniformly distributed on $[-1,1]$. This positively resolves C
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e273a46e93ebafaeb80676062dfa471
http://arxiv.org/abs/2204.05395
http://arxiv.org/abs/2204.05395
Publikováno v:
Journal of Functional Analysis. 283:109622
We establish the stability of solutions to the entropically regularized optimal transport problem with respect to the marginals and the cost function. The result is based on the geometric notion of cyclical invariance and inspired by the use of $c$-c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8406f2d9ec2bc2fa8a727272ffea34f5
https://doi.org/10.1016/j.jfa.2022.109622
https://doi.org/10.1016/j.jfa.2022.109622
Consider a random Schrödinger-type operator of the form $H:=-H_X+V+ξ$ acting on a general graph $\mathscr G=(\mathscr V,\mathscr E)$, where $H_X$ is the generator of a Markov process $X$ on $\mathscr G$, $V$ is a deterministic potential with suffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d867d78b20598385f0f3e7ca7cb7f12f
Autor:
Sayan Das, Promit Ghosal
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started from the narrow wedge initial condition. In this article, we ask how the peaks and valleys of the KPZ height function (centered by time/24) at any spatial point grow as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76ad9aed4041f149931f219470ffb933
We study the convergence of entropically regularized optimal transport to optimal transport. The main result is concerned with the convergence of the associated optimizers and takes the form of a large deviations principle quantifying the local expon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c17ff086caf9f4ff5b5c011b41de816
We study a stochastic PDE limit of the height function of the dynamic asymmetric simple exclusion process (dynamic ASEP). A degeneration of the stochastic Interaction Round-a-Face (IRF) model of arXiv:1701.05239, dynamic ASEP has a jump parameter $q\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a31eaeb6e9aa6e018cc52884ae69869
We consider the narrow wedge solution to the Kardar-Parisi-Zhang stochastic PDE under the characteristic $3:2:1$ scaling of time, space and fluctuations. We study the correlation of fluctuations at two different times. We show that when the times are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ff6e23d35e3c1b6898208dbe1fe9b73
Autor:
Ivan Corwin, Promit Ghosal
Publikováno v:
Electron. J. Probab.
We consider the upper and lower tail probabilities for the centered (by time$/24$) and scaled (according to KPZ time$^{1/3}$ scaling) one-point distribution of the Cole-Hopf solution of the KPZ equation when started with initial data drawn from a ver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4fadbab512f9402c67bad9244939173
http://arxiv.org/abs/1810.07129
http://arxiv.org/abs/1810.07129