Bistability for asymmetric discrete random walks

TL;DR

This paper demonstrates that asymmetric continuous-time discrete random walks can exhibit bistability, with the effect becoming more prominent as the asymmetry parameter increases, revealing new dynamical behaviors.

Contribution

It introduces the concept of bistability in asymmetric discrete random walks, a phenomenon not previously characterized in this context.

Findings

Bistability occurs in asymmetric random walks with equal shifting parameters.

Bistability intensity increases with the asymmetry parameter.

The study provides insights into the dynamical properties of asymmetric stochastic processes.

Abstract

We show that asymmetric time-continuous discrete random walks can display bistability for equal values of Jauslin's shifting parameters. The bistability becomes more pronounced at increased asymmetry parameter