Results 81 to 90 of about 220,579 (315)
Limit theorems for the minimal position of a branching random walk in random environment [PDF]
arXiv, 2018 We consider a branching system of random walk in random environment (in location) in $\mathbb{N}$. We will give the exact limit value of $\frac{M_{n}}{n}$, where $M_{n}$ denotes the minimal position of branching random walk at time $n$. A key step in the proof is to transfer our branching random walks in random environment (in location) to branching ...
arxiv
Mesoscopic description of random walks on combs [PDF]
, 2015 Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study continuous time random walks on combs and present a generic method to obtain their transport properties.
arxiv +1 more source
On the boundary at infinity for branching random walk [PDF]
arXiv, 2022 We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open problems and conjectures about this limiting measure are presented.
arxiv
Advanced Healthcare Materials, EarlyView.A hollow‐structured Fe3O4@AgAu@PDA‐ZnPc nanosphere has been developed, exhibiting controllable catalytic activity and “photothermal‐photodynamic‐Ag+” coupling antibacterial characteristics. When subjected to a rotating magnetic field, these performances are uniquely enhanced by magnetic propulsion, allowing the nanosphere to function as a magnetic ...
Jing Wang +7 more
wiley +1 more source
Regular variation in the branching random walk [PDF]
, 2006 Let $\{\mm_n, n=0,1,...\}$ be the supercritical branching random walk starting with one initial ancestor located at the origin of the real line. For $n=0,1,...$ let $W_n$ be the moment generating function of $\mm_n$ normalized by its mean.
Iksanov, Aleksander, Polotskiy, Sergey
core +2 more sources
On the critical branching random walk I: Branching capacity and visiting probability [PDF]
arXiv, 2016 We extend the theory of discrete capacity to critical branching random walk. We introduce branching capacity for any finite subset of $\Z^d, d\geq5$. Analogous to the regular discrete capacity, branching capacity is closely related to the asymptotics of the probability of visiting a fixed finite set by a critical branching random walk starting from a ...
arxiv
Advanced Materials, EarlyView.A novel one‐shot integration electropolymerization (OSIEP) method is developed as a breakthrough on the intricate photolithographic steps, enabling to compress all processes from synthesis to channel integration in one‐shot manufacturing. The specially designed dual bipolar electrodes provide the targeted depositions of poly(3,4‐ethylenedioxythiophene)
Jiyun Lee +9 more
wiley +1 more source
Survival Analysis of Particle Populations in Branching Random Walks [PDF]
arXiv, 2018 It is a common practice to describe branching random walks in terms of birth, death and walk of particles, which makes it easier to use them in different applications. The main results obtained for the models of symmetric continuous-time heavy-tailed branching random walks on a multidimensional lattice.
arxiv
Maxima of branching random walks [PDF]
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1983 In recent years several authors have obtained limit theorems for L n , the location of the rightmost particle in a supercritical branching random walk but all of these results have been proved under the assumption that the offspring distribution has ϕ(θ) = ∝ exp(θx)dF(x) 0.
openaire +2 more sources
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source