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math.CO2025
Configured spaces and their Möbius polynomials
Samy Abbes
An arbitrary dependence structure between a finite family of events of a probability space defines a hypergraph structure. We study the converse operation, starting from a hypergra…
math.PR2025
Ergodic properties of concurrent systems
Samy Abbes, Vincent Jugé
A concurrent system is defined as a monoid action of a trace monoid on a finite set of states. Concurrent systems represent state models where the state is distributed and where st…