In this study, we obtain an exact time-dependent solution of the chemical master equation
(CME) of an extension of the two-state telegraph model describing bursty or non-bursty …

We derive unexpected first-passage properties for nearest-neighbor hopping on finite
intervals with disordered hopping rates, including (a) a highly variable spatial dependence …

The Ising model on networks plays a fundamental role as a testing ground for understanding
cooperative phenomena in complex systems. Here we solve the synchronous dynamics of …

Understanding how systems relax to equilibrium is a core theme of statistical physics,
especially in economics, where systems are known to be subject to extrinsic noise not …

Binary decision models have been the subject of renewed research in recent years. In these
models, agents follow a stochastic evolution where they must choose between two possible …

How do heterogeneous individual behaviors arise in response to sudden events and how
do they shape large-scale social dynamics? Based on a five-year naturalistic observation of …

The canonical model of mRNA expression is the telegraph model, describing a gene that
switches on and off, subject to transcription and decay. It describes steady-state mRNA …

We derive a concise closed-form solution for a linear three-term recurrence relation. Such
recurrence relations are very common in the quantitative sciences, and describe finite …