Random Walk: A stochastic process in which successive steps are taken in random directions, often used to model physical, financial, or abstract dynamical systems.

Motivated by applications to sensor, peer-to-peer and ad hoc networks, we study distributed asynchronous algorithms, also known as gossip algorithms, for computation and information exchange in an ...

Random Matrix Theory (RMT): A statistical framework used to describe the universal features of eigenvalue distributions and fluctuation properties in complex systems.

This paper proposes a stochastic algorithm for simulating the wear-out dynamics of a multi-component system (machine, apparatus, equipment) based on random walk with negative drift. The negative drift ...

An expander is a graph whose random walk matrix has its second eigenvalue bounded away from 1, and so on which random walks mix quickly. Expanders are “well-connected” graphs with many applications, ...

In his groundbreaking paper “Absence of diffusion in certain random lattices (1958)”, Philip W Anderson originated, described and developed the physical principles underlying the phenomenon of the ...

Rather, transition matrices and trajectories are projections, or mappings, of the real dynamics onto a small number of spatial components. Thus, although ELA interprets the resting-brain activity as ...