Random walks with self-similar clusters
نویسندگان
چکیده
منابع مشابه
Variable Step Random Walks and Self-Similar Distributions
Gemunu H. Gunaratne, Joseph L. McCauley, Matthew Nicol, and Andrei Török 1 Department of Physics, University of Houston, Houston, TX 77204 2 Institute for Fundamental Studies, Hantana, Sri Lanka 3 Department of Mathematics, University of Houston, Houston, TX 77204 and 4 Institute of Mathematics of the Romanian Academy, Bucharest, Romania Abstract We study a scenario under which variable step ra...
متن کاملFractals Meet Fractals: Self-Avoiding Random Walks on Percolation Clusters
The scaling behavior of linear polymers in disordered media, modelled by self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by numerical simulations. We apply the pruned-enriched Rosenbluth chain-growth method (PERM). Our numerical results yield estimates of critical exponents, governing the scaling laws of disorder averages of the co...
متن کاملSelf-interacting random walks
Let μ1, . . . , μk be d-dimensional probability measures in R d with mean 0. At each step we choose one of the measures based on the history of the process and take a step according to that measure. We give conditions for transience of such processes and also construct examples of recurrent processes of this type. In particular, in dimension 3 we give the complete picture: every walk generated ...
متن کاملRandom walks on supercritical percolation clusters
We obtain Gaussian upper and lower bounds on the transition density qt(x, y) of the continuous time simple random walk on a supercritical percolation cluster C∞ in the Euclidean lattice. The bounds, analogous to Aronsen’s bounds for uniformly elliptic divergence form diffusions, hold with constants ci depending only on p (the percolation probability) and d. The irregular nature of the medium me...
متن کاملSelf-similarity and Random Walks
This is an introductory level survey of some topics from a new branch of fractal analysis — the theory of self-similar groups. We discuss recent works on random walks on self-similar groups and their applications to the problem of amenability for these groups.
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: Proceedings of the National Academy of Sciences
سال: 1981
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.78.6.3287