7 papers · 1 filter
Stochastic Orders of the Exit Pair and the Monotone Response to Resetting
Tony Newton, Juan Antonio Vega Coso
Resetting a process, that is, restarting it from its initial position at random times, changes the probability that it leaves an interval through one end rather than the other. We…
Axioms and internal rigidity of spectral duality structures
Juan Antonio Vega Coso
Spectral duality structures (SDS) explain why a distinguished family of initial distributions makes the absorption probabilities of resetting processes insensitive to the resetting…
Spectral duality structures and the Fisher--Rao geometry of reset distributions
Juan Antonio Vega Coso
We study the geometry that spectral duality induces on the simplex of reset distributions for absorbed Markov processes with geometric resetting. In the Fisher--Rao metric, selecte…
Resolvent intertwining and spectral duality in Markov chains with geometric resetting
Juan Antonio Vega Coso
We uncover the resolvent origin of the spectral duality governing reset-neutral distributions in Markov chains with geometric resetting. Starting from the abstract conditions of Pa…
Separatrix structure and the geometry of reset distributions
Juan Antonio Vega coso
We study the geometry of reset distributions for absorbed Markov processes with geometric resetting, working at an abstract level that isolates the structural mechanism underlying…
Spectral Duality and Reset-Neutral Distributions in Random Walks with Multi-Site Geometric Resetting
Juan Antonio Vega Coso
We study the gambler's ruin problem for a biased random walk on under multi-site geometric resetting: at each step the walker is reset with probability $γ\in(0,1)…
Channel Duality and Midpoint Invariance in Random Walks with Resetting
Juan Antonio Vega Coso
We study absorption of a biased nearest-neighbor random walk on a finite interval that is reset to its initial position. The central contribution is an exact duality between the tw…