6 papers
Algebra of spectral duality structures
Juan Antonio Vega Coso
This paper establishes the algebraic and categorical foundations of spectral duality structures (SDS). We show that the class of all SDS admits the structure of a graded monoidal c…
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. The Fisher--Rao metric provides th…
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 time step, the walker is reset with probability $γ\i…
Critical Spectral Invariants in Random Walks with Geometric Resetting
Juan Antonio Vega Coso
Stochastic resetting -- the intermittent restart of random processes -- has profoundly reshaped first-passage theory, providing a mechanism to control and optimize completion times…