1.7k citations
- Rutgers, The State University of New JerseyUS24 papers
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- California Institute of TechnologyUS18 papers
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- Weizmann Institute of ScienceIL17 papers
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Showing 2008 · math.DSShow all
2 papers · 2 filters
math.DS2008★ 1 cited
Measure theoretical entropy of covers
Uri Shapira
In this paper we introduce three notions of measure theoretical entropy of a measurable cover U in a measure theoretical dynamical system. Two of them were already introduced in [R…
math.DS2008★ 4 cited
A solution to a problem of Cassels and Diophantine properties of cubic numbers
Uri Shapira
We prove that almost any pair of real numbers a,b, satisfies the following inhomogeneous uniform version of Littlewood's conjecture: (*) forall x,y in R, liminf_{|n|\to\infty} |n|<…