Zobrazeno 1 - 10
of 244
pro vyhledávání: '"Angel, Omer"'
Autor:
Angel, Omer, Sénizergues, Delphin
In this paper we prove a scaling limit result for the component of the root in the Wired Minimal Spanning Forest (WMSF) of the Poisson-Weighted Infinite Tree (PWIT), where the latter tree arises as the local weak limit of the Minimal Spanning Tree (M
Externí odkaz:
http://arxiv.org/abs/2312.14640
We study an interacting system of competing particles on the real line. Two populations of positive and negative particles evolve according to branching Brownian motion. When opposing particles meet, their charges neutralize and the particles annihil
Externí odkaz:
http://arxiv.org/abs/2312.03669
Autor:
Ventre, Elias, Forrow, Aden, Gadhiwala, Nitya, Chakraborty, Parijat, Angel, Omer, Schiebinger, Geoffrey
A core challenge for modern biology is how to infer the trajectories of individual cells from population-level time courses of high-dimensional gene expression data. Birth and death of cells present a particular difficulty: existing trajectory infere
Externí odkaz:
http://arxiv.org/abs/2307.07687
A random walk on a regular tree (or any non-amenable graph) has positive speed. We ask whether such a walk can be slowed down by applying carefully chosen time-dependent permutations of the vertices. We prove that on trees the random walk can not be
Externí odkaz:
http://arxiv.org/abs/2302.00760
We prove that the Loop O(1) model, a well-known graphical expansion of the Ising model, is a factor of i.i.d. on unimodular random rooted graphs under various conditions, including in the presence of a non-negative external field. As an application w
Externí odkaz:
http://arxiv.org/abs/2112.03228
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
Publikováno v:
Electron. Commun. Probab. 27: 1-7 (2022)
We study noise sensitivity of the consensus opinion of the voter model on finite graphs, with respect to noise affecting the initial opinions and noise affecting the dynamics. We prove that the final opinion is stable with respect to small perturbati
Externí odkaz:
http://arxiv.org/abs/2111.12354
We give non-trivial upper and lower bounds on the range of the so-called Balanced Excited Random Walk in two dimensions, and verify a conjecture of Benjamini, Kozma and Schapira. To the best of our knowledge these are the first non-trivial results fo
Externí odkaz:
http://arxiv.org/abs/2110.15889
From each point of a Poisson point process start growing a balloon at rate 1. When two balloons touch, they pop and disappear. Is every point contained in balloons infinitely often or not? We answer this for the Euclidean space, the hyperbolic plane
Externí odkaz:
http://arxiv.org/abs/2103.06847
Publikováno v:
Ann. Probab. 49(6): 3032-3105 (November 2021)
We show that the law of the three-dimensional uniform spanning tree (UST) is tight under rescaling in a space whose elements are measured, rooted real trees, continuously embedded into Euclidean space. We also establish that the relevant laws actuall
Externí odkaz:
http://arxiv.org/abs/2003.09055