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math.OC2025
Absorbing Markov Decision Processes: Geometric Properties and Sufficiency of Finite Mixtures of Deterministic Policies
Francois Dufour, Tomas Prieto-Rumeau
In this paper we investigate several geometric properties of the set of occupancy measures. In particular, we analyse the structure of the faces generated by a given occupancy meas…
math.PR2025
On the Feinberg-Piunovskiy Theorem and its extension to chattering policies
Francois Dufour, Tomas Prieto-Rumeau
The Feinberg-Piunovskiy Theorem established in [14, Theorem 3.8] asserts that for a discrete-time uniformly absorbing and atomless Markov Decision Process (MDP) with Borel state sp…