1k citations
- Rutgers, The State University of New JerseyUS14 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Bar-Ilan UniversityIL9 papers
- Hungarian Academy of SciencesHU8 papers
- University of ChicagoUS8 papers
- Tel Aviv UniversityIL7 papers
- California Institute of TechnologyUS6 papers
- University of California, BerkeleyUS6 papers
- University of WashingtonUS6 papers
- Weizmann Institute of ScienceIL5 papers
- Ben-Gurion University of the NegevIL4 papers
- Cornell UniversityUS4 papers
10 papers · 1 filter
Generating Product Systems
Nir Avni, Benjamin Weiss
Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a…
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…
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|<…
Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids
Guy Katriel, Raz Kupferman, Edriss S. Titi
We study a class of quadratic, infinite-dimensional dynamical systems, inspired by models for viscoelastic fluids. We prove that these equations define a semi-flow on the cone of p…
Partitions with independent iterates in random dynamical systems
Boris Begun, Andres del Junco
Consider an invertible measure-preserving transformation of a probability space. A finite partition of the space is called weakly independent if there are infinitely many images of…
Multipliers of periodic orbits of quadratic polynomials and the parameter plane
Genadi Levin
We prove an extension results for the multiplier of an attracting periodic orbit of a quadratic map as a function of the parameter. This has applications to the problem of geometry…