Genealogies of records of stochastic processes with stationary increments as unimodular trees

François Baccelli, Bharath Roy Choudhury

Consider a stationary sequence $X=(X_n)$ of integer-valued random variables with mean $m\in [-\infty ,\infty ]$. Let $S=(S_n)$ be the stochastic process with increments $X$ and suc…