Web2. Frog model on directed trees 2.1. Definition of the model We consider the directed rooted tree T ¿ = (V, 8 ), defined by making all the edges of the d- regular tree = (V, £) point away from the root. We define the distance between«, u € V, denoted by d(u, v), as the number of edges in the unique path connecting them. We write u < v

The frog model on trees with drift - NASA/ADS

Web20 Aug 2024 · Abstract:We study the recurrence of one-per-site frog model $\text{FM}(d, p)$ on a $d$-ary tree with drift parameter $p\in [0,1]$, which determines the bias of frogs' … WebThe frog model is a system of interacting random walks on a given rooted graph. Initially, the graph contains one particle at the root and some configuration of sleeping particles on its vertices; unless otherwise stated, we will assume an … meiji revisited: the sites of victorian japan

Recurrence for the frog model with drift on Z - ResearchGate

Web1 Likes, 0 Comments - Steve Miller (@stevemillerremaxboonerealty) on Instagram: "Portrait of a distinguished Tree Frog - A small set up with a black acrylic base and black backdr..." Steve Miller on Instagram: "Portrait of a distinguished Tree Frog - A small set up with a black acrylic base and black backdrop, two strobes and about 30 seconds of model time. WebWe provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a $d$-ary tree is recurrent. To do this, we introduce a subprocess that couples across … Web8 Nov 2024 · The frog model is a branching random walk on a graph in which particles branch only at unvisited sites. Consider an initial particle density of … naomi woloshin attorney