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The frog model on trees with drift

WebThe frog model on trees with drift Döbler and Pfeifroth showed that the frog model is recurrent on Zd for d 2 so long as Elog(d+1)=2 + = 1[DP14]. It was open for some time … WebWe provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a d d -ary tree is recurrent. To do this, we introduce a subprocess that couples across …

[1808.03283] The frog model on trees with drift - arXiv.org

WebStudy with Quizlet and memorize flashcards containing terms like You are studying two species of tree frog. The two species are found on two different islands, separated by 200 km of ocean water. Species A lives on very light-colored rocks and species B lives on dark-colored trees. Which process is most unlikely to be affecting allele frequencies in the … 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 … is dramatic a noun https://gospel-plantation.com

On the minimal drift for recurrence in the frog model on $d$-ary …

Web14 Apr 2024 · Artificial light at night (ALAN) and noise pollution have been shown to affect urban wildlife everywhere, but little is known about the effects of these variables on urban frogs. Our objective was to model the effects of ALAN and noise pollution (as well as a suite of other habitat variables) on site occupancy of gray treefrogs (Hyla versicolor) and green … WebKeywords: Frog model; transience; drift; coupling 2010 Mathematics Subject Classification: Primary 60J80 Secondary 60K35 1. Introduction The frog model is a system of interacting random walks on a rooted graph. It begins with a single 'active' frog at the root and some distribution of sleeping frogs (either random or deterministic) at the ... Web1 Aug 2024 · In this model, active frogs move toward the root with probability p or otherwise move to a uniformly chosen child vertex. Whenever a site is visited for the first time, a new active frog is introduced at the site. We are interested in the minimal drift pd p d so that the frog model is recurrent. is dramamine safe in pregnancy

On the minimal drift for recurrence in the frog model on $d$-ary …

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The frog model on trees with drift

[2303.15517v1] Critical drift estimates for the frog model on trees

Web27 Mar 2024 · Critical drift estimates for the frog model on trees March 2024 Authors: Emma Bailey Matthew Junge Jiaqi Liu Preprints and early-stage research may not have … Web9 May 2024 · We consider the interacting particle system on the homogeneous tree of degree (d + 1), known as frog model. In this model, active particles perform independent random walks, awakening all sleeping particles they encounter, and dying after a random number of jumps, with geometric distribution.

The frog model on trees with drift

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Web4 hours ago · I hear she's been warned by Wiltshire Council about the extensive work she plans on nine huge trees at Raymill House, the Grade II-listed property that she retained as …

WebThe frog model on trees with drift - CORE Reader 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

WebBackground on the frog model. It is common to use the frog model as a model for the spread of rumors or infections, thinking of awakened frogs as informed or infected agents. See [8] for an overview and [18] for more tailored discussion. Another perspective on the frog model is as a conservative lattice gas model with the reaction A + B -» 2A. 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 trees with different degrees. Finding couplings for frog models on nested sequences of graphs is known to be difficult. The upper bound comes from combining the coupling with a new, …

Web9 Aug 2024 · We 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 …

Web1 Jan 2009 · The frog model on the rooted d-ary tree changes from transient to recurrent as the number of frogs per site is increased. We prove that the location of this transition is … ryan fitzpatrick lifetime earningsWeb20 Aug 2024 · We study the frog model on homogeneous trees, a discrete time system of simple symmetric random walks whose description is as follows. There are active and … is dramamine the same as benadrylWebIn this paper we present a recurrence criterion for the frog model on Z d with an i.i.d. initial configuration of sleeping frogs and such that the underlying random walk has a drift to … is dramamine the same as gravolWebTo do this, we introduce a subprocess that couples across trees with different degrees. Finding couplings for frog models on nested sequences of graphs is known to be difficult. The upper bound comes from combining the coupling with a new, simpler proof that the frog model on a binary tree is recurrent when the drift is sufficiently strong. ryan fitzpatrick nfl recordshttp://math0.bnu.edu.cn/~hehui/webinars20241217.pdf ryan fitzpatrick rookie cardWebThe upper bound comes from combining the coupling with a new, simpler proof that the frog model on a binary tree is recurrent when the drift is sufficiently strong. Additionally, we describe a coupling between frog models on trees for which the degree of the smaller tree divides that of the larger one. ... We provide a uniform upper bound on ... ryan fitzpatrick nfl salary historyWebThe 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 … is dramatic speech really necessary in plays