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math.PR2025
General diffusions on metric graphs as limits of time-space Markov Chains
Alexis Anagnostakis
We introduce the Space-Time Markov Chain Approximation (STMCA) for a general diffusion process on a finite metric graph . The STMCA is a doubly asymmetric (in both time and spac…
math.PR2025
General diffusions on the star graph as time-changed Walsh Brownian motion
Alexis Anagnostakis
We establish the representation of general regular diffusions on star-shaped graphs as time-changed Walsh Brownian motions. These are regular continuous Markov processes described…