D. Berend

collaborators

3 papers

math.CO2025

A cop-robber game on metric graphs

Daniel Berend, Michael D. Boshernitzan

We study a variant of the classical cop-robber game played on compact metric graphs, where each edge is assigned a positive length and identified with a real interval of correspond…

math.NT2024

Exceptional Points for Density Modulo 1

Daniel Berend, Michael D. Boshernitzan, Grigori Kolesnik +1

It is well known that almost every dilation of a sequence of real numbers, that diverges to $\infty$ , is dense modulo~1. This paper studies the exceptional set of points -- those f…

math.PR2024

Exact expressions for the maximal probability that all $k$ -wise independent bits are 1

Daniel Berend, Philip A. Ernst, Aryeh Kontorovich +1

Let $M (n, k, p)$ denote the maximum probability of the event $X_{1} = X_{2} = \dots = X_{n} = 1$ under a $k$ -wise independent distribution whose marginals are Bernoulli random variables w…

A cop-robber game on metric graphs

Exceptional Points for Density Modulo 1

Exact expressions for the maximal probability that all k-wise independent bits are 1

Exact expressions for the maximal probability that all $k$ -wise independent bits are 1