Metastability and random walks constitute central paradigms in the study of stochastic processes, providing deep insights into transient phenomena and long-term dynamics in complex systems.
The last time I looked at random walks, I used them to calculate the value of Pi for Pi Day. But what is a random walk, really? A mathematician will tell you that it's a stochastic process—a path ...
Continuous time random walks, which generalize random walks by adding a stochastic time between jumps, provide a useful description of stochastic transport at mesoscopic scales. The continuous time ...
Brazilian Journal of Probability and Statistics, Vol. 34, No. 3 (2020), pp. 613-628 (16 pages) This paper deals with branching processes in varying environment with selection, where the offspring ...