2 papers
math.PR2026
Algebraic formulas for first-passage times of Markov processes in the linear framework: generalising the work of Hill and Kac
Kee-Myoung Nam, Jeremy Gunawardena
In a preceding paper, we used the graph-theoretic linear framework to show how transient properties of continuous-time Markov processes -- splitting probabilities and the moments o…
physics.bio-ph2023
Universal Bounds on Information-Processing Capabilities of Markov Processes
Ugur Cetiner, Jeremy Gunawardena
We consider a finite-state, continuous-time Markov process, represented in the "linear framework" by a directed graph with labelled edges which specifies the infinitesimal generato…