Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Louidor, Oren"'
This is the first in a series of two works which study the discrete Gaussian free field on the binary tree when all leaves are conditioned to be positive. In this work, we obtain sharp asymptotics for the probability of this "hard-wall constraint" ev
Externí odkaz:
http://arxiv.org/abs/2409.00541
This is the second in a series of two works which study the discrete Gaussian free field on the binary tree when all leaves are conditioned to be positive. In the first work ("Gaussian free field on the tree subject to a hard wall I: Bounds") we iden
Externí odkaz:
http://arxiv.org/abs/2409.00422
Autor:
Louidor, Oren, Saglietti, Santiago
We consider a continuous time simple random walk on a subset of the square lattice with wired boundary conditions: the walk transitions at unit edge rate on the graph obtained from the lattice closure of the subset by contracting the boundary into on
Externí odkaz:
http://arxiv.org/abs/2406.11034
We study fractal properties of support sets of the critical Liouville Quantum Gravity (cLQG) associated with the Gaussian Free Field in planar domains. Specifically, we completely characterize the gauge functions $\phi$ (subject to mild monotonicity
Externí odkaz:
http://arxiv.org/abs/2406.02814
We study the limiting extremal and cluster point processes of branching Brownian motion. The former records the heights of all extreme values of the process, while the latter records the relative heights of extreme values in a genealogical neighborho
Externí odkaz:
http://arxiv.org/abs/2405.17634
In this paper, we consider a non-homogeneous discrete-time Markov chain which can be seen as a toy model for the growth of the arms of the DLA (Diffusion limited aggregation) process in a sub-linear wedge. It is conjectured that in a thin enough line
Externí odkaz:
http://arxiv.org/abs/2208.09835
Autor:
Biskup, Marek, Louidor, Oren
Publikováno v:
Ann. Probab. 52 (2024) no. 2, 502--544
We consider a continuous-time random walk on a regular tree of finite depth and study its favorite points among the leaf vertices. For the walk started from a leaf vertex and stopped upon hitting the root we prove that, in the limit as as the depth o
Externí odkaz:
http://arxiv.org/abs/2111.09513
Autor:
Gufler, Stephan, Louidor, Oren
We provide uniform bounds and asymptotics for the probability that a two-dimensional discrete Gaussian free field on an annulus-like domain and with Dirichlet boundary conditions stays negative as the ratio of the radii of the inner and the outer bou
Externí odkaz:
http://arxiv.org/abs/2012.11467
Publikováno v:
Ann. Inst. Henri Poincar\'e Probab. Statist. 60 (2024) no. 1, 281--311
We consider the Discrete Gaussian Free Field (DGFF) in domains $D_N\subseteq\mathbb Z^2$ arising, via scaling by $N$, from nice domains $D\subseteq\mathbb R^2$. We study the statistics of the values order $\sqrt{\log N}$ below the absolute maximum. E
Externí odkaz:
http://arxiv.org/abs/2010.13939
We consider a one dimensional random-walk-like process, whose steps are centered Gaussians with variances which are determined according to the sequence of arrivals of a Poisson process on the line. This process is decorated by independent random var
Externí odkaz:
http://arxiv.org/abs/1902.10079