Results 1 to 10 of about 202,734 (177)
Minima in branching random walks [PDF]
, 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 +4 more sources
On multidimensional branching random walks in random environment [PDF]
, 2005 We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, the population size cannot decrease, and a natural definition of recurrence is introduced. We prove a dichotomy for recurrence/transience, depending only on
Comets, Francis, Popov, Serguei
core +5 more sources
A generating function approach to branching random walks [PDF]
arXiv, 2015 It is well known that the behaviour of a branching process is completely described by the generating function of the offspring law and its fixed points. Branching random walks are a natural generalization of branching processes: a branching process can be seen as a one-dimensional branching random walk.
Daniela Bertacchi, Fabio Zucca
arxiv +3 more sources
On the trace of branching random walks [PDF]
arXiv, 2010 We study branching random walks on Cayley graphs. A first result is that the trace of a transient branching random walk on a Cayley graph is a.s. transient for the simple random walk. In addition, it has a.s. critical percolation probability less than one and exponential volume growth.
Benjamini, Itai, Müller, Sebastian
arxiv +3 more sources
Phenomenological picture of fluctuations in branching random walks
, 2014 We propose a picture of the fluctuations in branching random walks, which leads to predictions for the distribution of a random variable that characterizes the position of the bulk of the particles.
Mueller, A. H., Munier, S.
core +3 more sources
Random walks and branching processes in correlated Gaussian environment
, 2016 We study persistence probabilities for random walks in correlated Gaussian random environment first studied by Oshanin, Rosso and Schehr. From the persistence results, we can deduce properties of critical branching processes with offspring sizes ...
Aurzada, Frank +3 more
core +4 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 +1 more source
Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point
Mathematics, 2023 We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
doaj +1 more source
A Note on the Transience of Critical Branching Random Walks on the Line [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice is transient by analyzing this problem within the more general framework of branching Markov chains and making use of Lyapunov functions. The main purpose
Gerold Alsmeyer, Matthias Meiners
doaj +1 more source
Patchy nuclear chain reactions
Communications Physics, 2021 Understanding and predicting fluctuations of the neutron population within a nuclear reactor is of fundamental importance for nuclear safety, especially in connection with reactor control at startup and shutdown.
Eric Dumonteil +11 more
doaj +1 more source