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math.PR2026

Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs

Guodong Pang, Étienne Pardoux, Aurélien Velleret

We study an individual-based stochastic SIR epidemic model with infection-age dependent infectivity on a large random graph, capturing individual heterogeneity and non-homogeneous…

math.PR2026

Quasi-ergodic theorems for Feynman-Kac semigroups and large deviation for additive functionals

Daehong Kim, Takara Tagawa, Aurélien Velleret

We study the long-time behavior of an additive functional that takes into account the jumps of a symmetric Markov process. This process is assumed to be observed through a biased o…