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 ...
We consider the continuous time symmetric random walk with a slow bond on ℤ, which rates are equal to 1/2 for all bonds, except for the bond of vertices {−1, 0}, which associated rate is given by αn−β ...
In a correlated random walk (CRW) the probabilities of movement in the positive and negative direction are given by the transition probabilities of a Markov chain. The walk can be represented as a ...
Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...
Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve ...