Dawid Tarłowski

collaborators

3 papers

math.NT2026

The equality cases $P_{t} (N) = \frac{1}{2}$ for the deconvolved sum-of-digits measures

Dawid Tarłowski

Let $s (n)$ denote the number of ones in the binary expansion of an integer $n \in N$ , and let $μ_{t}$ be the probability measure on $Z$ defined by the asymptotic dens…

math.PR2026

On the sum-of-digits measures and Cusick's conjecture via stopped random walks

Dawid Tarłowski

Let $s (n)$ denote the number of ones in the binary expansion of a natural number $n \in N$ . For any $t \in N$ and $d \in Z$ , let $μ_{t} (d)$ denote the asymptotic…

math.PR2025

Sleeping Beauty and Markov chains

Dawid Tarłowski

Sleeping Beauty Problem (SBP) is a probability puzzle which has created much confusion in the literature. In this paper we present the analysis of SBP with use of ergodic Markov ch…

The equality cases Pt​(N)=21​ for the deconvolved sum-of-digits measures

On the sum-of-digits measures and Cusick's conjecture via stopped random walks

Sleeping Beauty and Markov chains

The equality cases $P_{t} (N) = \frac{1}{2}$ for the deconvolved sum-of-digits measures