The contact process with deterministic cures

par Denis Araujo Luiz (UNICAMP/Paris)

jeudi 15 oct. 2026, 14:00 → 15:00 Europe/Paris

Salle de Séminaire (Orléans)

We will discuss a contact process on $\mathbb Z^d$ in which an infected site recovers after a fixed time, unless a subsequent infection attempt resets its recovery clock. The probability of a reset is $p\in[0,1]$. We will see how, when $p<1$, an earlier infection can prevent a later attempt from taking effect, causing the usual attractiveness property to fail. We will then present results on extinction at low infection rates and survival at high infection rates, together with a delayed identity for the density of infected sites in the non-resetting case $p=0$.