Randomly trapped random walks
نویسندگان
چکیده
منابع مشابه
Random walks colliding before getting trapped
Let P be the transition matrix of a finite, irreducible and reversible Markov chain. We say the continuous time Markov chain X has transition matrix P and speed λ if it jumps at rate λ according to the matrix P . Fix λX , λY , λZ ≥ 0, then let X,Y and Z be independent Markov chains with transition matrix P and speeds λX , λY and λZ respectively, all started from the stationary distribution. Wha...
متن کاملRandomly charged polymers, random walks, and their extremal properties.
Motivated by an investigation of ground state properties of randomly charged polymers, we discuss the size distribution of the largest Q–segments (segments with total charge Q) in such N–mers. Upon mapping the charge sequence to one–dimensional random walks (RWs), this corresponds to finding the probability for the largest segment with total displacement Q in an N–step RW to have length L. Usin...
متن کاملA Local Limit Theorem for Random Walks in Random Scenery and on Randomly Oriented Lattices
Random walks in random scenery are processes defined by Zn := ∑n k=1 ξX1+...+Xk , where (Xk, k ≥ 1) and (ξy, y ∈ Z) are two independent sequences of i.i.d. random variables. We assume here that their distributions belong to the normal domain of attraction of stable laws with index α ∈ (0, 2] and β ∈ (0, 2] respectively. These processes were first studied by H. Kesten and F. Spitzer, who proved ...
متن کاملRandomly biased walks on subcritical trees
As a model of trapping by biased motion in random structure, we study the time taken for a biased random walk to return to the root of a subcritical Galton-Watson tree. We do so for trees in which these biases are randomly chosen, independently for distinct edges, according to a law that satisfies a logarithmic non-lattice condition. The mean return time of the walk is in essence given by the t...
متن کاملType transition of simple random walks on randomly directed regular lattices1
Simple random walks on a partially directed version of Z2 are considered. More precisely, vertical edges between neighbouring vertices of Z2 can be traversed in both directions (they are undirected) while horizontal edges are one-way. The horizontal orientation is prescribed by a random perturbation of a periodic function, the perturbation probability decays according to a power law in the abso...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2015
ISSN: 0091-1798
DOI: 10.1214/14-aop939