Zobrazeno 1 - 10
of 255
pro vyhledávání: '"Saloff-Coste, Laurent"'
Autor:
Saloff-Coste, Laurent, Wang, Yuwen
The expected hitting time from vertex $a$ to vertex $b$, $H(a,b)$, is the expected value of the time it takes a random walk starting at $a$ to reach $b$. In this paper, we give estimates for $H(a,b)$ when the distance between $a$ and $b$ is comparabl
Externí odkaz:
http://arxiv.org/abs/2312.01803
We study the probability that a random walk started inside a subgraph of a larger graph exits that subgraph (or, equivalently, hits the exterior boundary of the subgraph). Considering the chance a random walk started in the subgraph never leaves the
Externí odkaz:
http://arxiv.org/abs/2311.06886
This work explains how to utilize earlier results by P. Diaconis, K. Houston-Edwards and the second author to estimate probabilities related to the 4-player gambler ruin problem. For instance, we show that the probability that a very dominant player
Externí odkaz:
http://arxiv.org/abs/2209.05264
We consider a natural class of long range random walks on torsion free nilpotent groups and develop limit theorems for these walks. Given the original discrete group $\Gamma$ and a random walk $(S_n)_ {n\ge1}$ driven by a certain type of symmetric pr
Externí odkaz:
http://arxiv.org/abs/2207.11371
Autor:
Randles, Evan, Saloff-Coste, Laurent
We consider certain constant-coefficient differential operators on $\mathbb{R}^d$ with positive-definite symbols. Each such operator $\Lambda$ with symbol $P$ defines a semigroup $e^{-t\Lambda}$ , $t>0$ , admitting a convolution kernel $H^t_P$ for wh
Externí odkaz:
http://arxiv.org/abs/2206.05865
We obtain optimal estimates of the Poincar\'e constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincar\'e constant is determined by the second largest end. The proof is based on the argument by Kusuoka-Stroock
Externí odkaz:
http://arxiv.org/abs/2205.06100
Autor:
Saloff-Coste, Laurent, Uluatam, Sophie
Consider the problem of approximating a given probability distribution on the cube $[0,1]^n$ via the use of a square lattice discretization with mesh-size $1/N$ and the Metropolis algorithm. Here the dimension $n$ is fixed and we focus for the most p
Externí odkaz:
http://arxiv.org/abs/2201.13255
Autor:
Hou, Qi, Saloff-Coste, Laurent
In this paper we study left-invariant Laplacians on compact connected groups that are form-comparable perturbations of bi-invariant Laplacians. Our results show that Gaussian bounds for derivatives of heat kernels enjoyed by certain bi-invariant Lapl
Externí odkaz:
http://arxiv.org/abs/2110.07481
We obtain two-sided heat kernel estimates for Riemannian manifolds with ends with mixed boundary condition, provided that the heat kernels for the ends are well understood. These results extend previous results of Grigor'yan and Saloff-Coste by allow
Externí odkaz:
http://arxiv.org/abs/2108.05790
Autor:
Hou, Qi, Saloff-Coste, Laurent
This paper aims at proving the local boundedness and continuity of solutions of the heat equation in the context of Dirichlet spaces under some rather weak additional assumptions. We consider symmetric local regular Dirichlet forms which satisfy mild
Externí odkaz:
http://arxiv.org/abs/2011.06781