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math.DG2021
Monge-Ampère equations on compact Hessian manifolds
Vincent Guedj, Tat Dat Tô
We consider degenerate Monge-Ampère equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and g…
math.PR2021
Unified modelling of epidemics by coupled dynamics via Monte-Carlo Markov Chain algorithms
Frédéric Protin, Martel Jules, Duc Thang Nguyen +9
To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of…