A generalized correlated random walk is a process of partial sums $X_{k}=\sum_{j=1}^{k}Y_{j}$ such that (X, Y) forms a Markov chain. For a sequence (Xn) of such ...

The usual random walk and its diffusion approximation have been found to be good models for describing several physical and bilogical processes. In this paper, centrally biased random walk and its ...

Random walks in random environments constitute a pivotal area of research at the interface of probability theory, statistical physics and mathematical modelling. This field investigates stochastic ...

Research in random walks and search strategies in anomalous transport addresses the fundamental processes underpinning non-standard diffusion phenomena seen in heterogeneous and complex systems.

Imperfections in the regular atomic arrangements in crystals determine many of the properties of a material, and their diffusion is behind many microstructural changes in solids. However, imaging ...

A random walk diffusion model based on data from Sandia National Laboratories algorithms running on an Intel Loihi neuromorphic platform. Disclaimer: AAAS and EurekAlert! are not responsible for the ...

ALBUQUERQUE, N.M. — With the insertion of a little math, Sandia National Laboratories researchers have shown that neuromorphic computers, which synthetically replicate the brain’s logic, can solve ...