Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Virág, Bálint"'
Autor:
Rahman, Mustazee, Virag, Balint
A basic question about the directed landscape is how much of it can be reconstructed simply by knowing the shapes of its geodesics. We prove that the directed landscape can be reconstructed from the shapes of its semi-infinite geodesics. In order to
Externí odkaz:
http://arxiv.org/abs/2410.19070
Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one correspondence with measures supported on a set of countably many paths
Externí odkaz:
http://arxiv.org/abs/2405.14924
Autor:
Dauvergne, Duncan, Virág, Bálint
We define an almost sure bijection which constructs the directed landscape from a sequence of infinitely many independent Brownian motions. This is the analogue of the RSK correspondence in this setting. The Brownian motions arise as a marginal of th
Externí odkaz:
http://arxiv.org/abs/2405.00194
Autor:
Vető, Bálint, Virág, Bálint
Coalescing simple random walks in the plane form an infinite tree. A natural directed distance on this tree is given by the number of jumps between branches when one is only allowed to move in one direction. The Brownian web distance is the scale-inv
Externí odkaz:
http://arxiv.org/abs/2305.15246
Autor:
Mészáros, András, Virág, Bálint
Publikováno v:
Communications in Mathematical Physics, Volume 405, article number 2, 2024
Eigenvectors of the GUE-perturbed discrete torus with uniform boundary conditions retain some product structure for small perturbations but converge to discrete Gaussian waves for large perturbations. We determine where this phase transition happens.
Externí odkaz:
http://arxiv.org/abs/2212.09614
We use a version of the Skorokhod integral to give a simple and rigorous formulation of the Wick-ordered (stochastic) heat equation with planar white noise, representing the free energy of an undirected random polymer. The solution for all times is e
Externí odkaz:
http://arxiv.org/abs/2210.13607
Autor:
Valkó, Benedek, Virág, Bálint
Publikováno v:
Stochastic Processes and their Applications, Volume 163, September 2023, Pages 106-135
We characterize the Palm measure of the Sine beta process as the eigenvalues of an associated operator with a specific boundary condition.
Comment: 33 pages, no figures
Comment: 33 pages, no figures
Externí odkaz:
http://arxiv.org/abs/2207.10626
Autor:
Rahman, Mustazee, Virag, Balint
We establish fundamental properties of infinite geodesics and competition interfaces in the directed landscape. We construct infinite geodesics in the directed landscape, establish their uniqueness and coalescence, and define Busemann functions. We t
Externí odkaz:
http://arxiv.org/abs/2112.06849
We give lower bounds for the electrical resistance between vertices in the Schreier graphs of the action of the linear (degree 1) and quadratic (degree 2) mother groups on the orbit of the zero ray. These bounds, combined with results of \cite{JNS} s
Externí odkaz:
http://arxiv.org/abs/2111.15206
Autor:
Kotowski, Michał, Virág, Bálint
Publikováno v:
Geom. Funct. Anal. 32, 1357-1427 (2022)
We use the framework of permuton processes to show that large deviations of the interchange process are controlled by the Dirichlet energy. This establishes a rigorous connection between processes of permutations and one-dimensional incompressible Eu
Externí odkaz:
http://arxiv.org/abs/2110.12203