25 citations · 47 across the 21 of their papers we have counts for
24 papers
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…
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 , is dense modulo~1. This paper studies the exceptional set of points -- those f…
Ergodic Schrödinger Operators in the Infinite Measure Setting
Michael Boshernitzan, David Damanik, Jake Fillman +1
We develop the basic theory of ergodic Schrödinger operators, which is well known for ergodic probability measures, in the case of a base dynamics on an infinite measure space. Thi…
On Visibility Problems with an Infinite Discrete, set of Obstacles
Michael Boshernitzan, Yaar Solomon
This paper studies visibility problems in Euclidean spaces where the obstacles are the points of infinite discrete sets . A point $x\in\mathb…
From a Packing Problem to Quantitative Recurrence in and the Lagrange Spectrum of Interval Exchanges
Michael Boshernitzan, Vincent Delecroix
This article provides optimal constants for two quantitative recurrence problems. First of all for recurrence of maps of the interval [0,1] that preserve the Lebesgue measure and o…
Under recurrence in the Khintchine recurrence theorem
Michael Boshernitzan, Nikos Frantzikinakis, Máté Wierdl
The Khintchine recurrence theorem asserts that on a measure preserving system, for every set and , we have for infinite…