Results 1 to 10 of about 147,716 (285)
Moments of Moments and Branching Random Walks. [PDF]
J Stat Phys, 2021 We calculate, for a branching random walk $$X_n(l)$$ X n ( l ) to a leaf l at depth n on a binary tree, the positive integer moments of the random variable $$\frac{1}{2^{n}}\sum _{l=1}^{2^n}e^{2\beta X_n(l)}$$ 1 2 n ∑ l = 1 2 n e 2 β X n ( l ) , for ...
Bailey EC, Keating JP.
europepmc +8 more sources
Branching Random Walks with Two Types of Particles on Multidimensional Lattices
Mathematics, 2022 We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles.
Iuliia Makarova +3 more
doaj +4 more sources
Branching random walks and Minkowski sum of random walks
Probability Theory and Related Fields, 2023 We show that the range of a critical branching random walk conditioned to survive forever and the Minkowski sum of two independent simple random walk ranges are intersection-equivalent in any dimension d≥5\documentclass[12pt]{minimal} \usepackage{amsmath}
A. Asselah +3 more
semanticscholar +4 more sources
A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions [PDF]
Electronic Journal of Probability, 2019 We introduce a set of tools which simplify and streamline the proofs of limit theorems concerning near-critical particles in branching random walks under optimal assumptions. We exemplify our method by giving another proof of the Seneta-Heyde norming for
Boutaud, Pierre, Maillard, Pascal
core +2 more sources
Survival of branching random walks in random environment [PDF]
Journal of Theoretical Probability, 2009 We study survival of nearest-neighbour branching random walks in random environment (BRWRE) on ${\mathbb Z}$. A priori there are three different regimes of survival: global survival, local survival, and strong local survival.
A. Greven +21 more
core +4 more sources
Global survival of branching random walks and tree-like branching random walks [PDF]
Latin American Journal of Probability and Mathematical Statistics, 2017 The reproduction speed of a continuous-time branching random walk is proportional to a positive parameter $\lambda$. There is a threshold for $\lambda$, which is called $\lambda_w$, that separates almost sure global extinction from global survival ...
D. Bertacchi +2 more
semanticscholar +5 more sources
Branching rate expansion around annihilating random walks [PDF]
Physical Review E, 2012 We present some exact results for branching and annihilating random walks. We compute the nonuniversal threshold value of the annihilation rate for having a phase transition in the simplest reaction-diffusion system belonging to the directed percolation ...
Federico Benitez +4 more
core +3 more sources
Slower deviations of the branching Brownian motion and of branching random walks [PDF]
, 2017 We have shown recently how to calculate the large deviation function of the position $X_{\max}(t) $ of the right most particle of a branching Brownian motion at time $t$.
Derrida, Bernard, Shi, Zhan
core +4 more sources
Minima in branching random walks
The Annals of Probability, 2009 Given a branching random walk, let $M_n$ be the minimum position of any member of the $n$th generation. We calculate $\mathbf{E}M_n$ to within O(1) and prove exponential tail bounds for $\mathbf{P}\{|M_n-\mathbf{E}M_n|>x\}$, under quite general ...
Addario-Berry, Louigi, Reed, Bruce
core +7 more sources
Interfacing Branching Random Walks with Metropolis Sampling: Constraint Release in Auxiliary-Field Quantum Monte Carlo. [PDF]
Journal of Chemical Theory and Computation, 2023 We present an approach to interface branching random walks with Markov chain Monte Carlo sampling and to switch seamlessly between the two. The approach is discussed in the context of auxiliary-field quantum Monte Carlo (AFQMC) but can be applied to ...
Zhi-Yu Xiao, Hao Shi, Shiwei Zhang
semanticscholar +1 more source