V. Wachtel

collaborators

2 papers

math.PR2026

Broadcasting on Random Trees: Martingale Methods and Error Bounds

Tayfun Kardas, Vsevolod Shneer, Vitali Wachtel

The broadcasting problem on trees concerns the transmission of binary information along the edges of a tree. In the formulation studied here, each vertex carries one of two colours…

math.PR2026

Persistence of AR( $1$ ) sequences with Rademacher innovations and linear mod $1$ transforms

Vladislav Vysotsky, Vitali Wachtel

We study the probability that an AR(1) Markov chain $X_{n + 1} = a X_{n} + I^¾_{n + 1}$ , where $a \in (0, 1)$ is a constant, stays non-negative for a long time. We find the exact asymptotics of t…

Broadcasting on Random Trees: Martingale Methods and Error Bounds

Persistence of AR(1) sequences with Rademacher innovations and linear mod 1 transforms

Persistence of AR( $1$ ) sequences with Rademacher innovations and linear mod $1$ transforms