papers
Publications (23)
math.DS2014
Closed orbits for the diagonal group and well-rounded lattices
Michael Levin, Uri Shapira, Barak Weiss
math.DS2012
On the Mordell-Gruber spectrum
Uri Shapira, Barak Weiss
math.DS2011
Homogeneous orbit closures and applications
Elon Lindenstrauss, Uri Shapira
math.DS2017
Equidistribution of divergent orbits and continued fraction expansion of rationals
Ofir David, Uri Shapira
math.DS2013
On stable lattices and the diagonal group
Uri Shapira, Barak Weiss
math.DS2011
Grids with dense values
Uri Shapira
math.NT2014
A volume estimate for the set of stable lattices
Uri Shapira, Barak Weiss
math.DS2019
Dynamics on the space of 2-lattices in 3-space
Oliver Sargent, Uri Shapira
math.NT2016
Counterexamples to a conjecture of Woods
Oded Regev, Uri Shapira, Barak Weiss
math.DS2017
Asymptotic metric behavior of random Cayley graphs of finite abelian groups
Uri Shapira, Reut Zuck
math.NT2012
Remarks on Euclidean Minima
Uri Shapira, Zhiren Wang
math.DS2017
Equidistribution of divergent orbits of the diagonal group in the space of lattices
Ofir David, Uri Shapira
math.DS2017
Dimension bound for badly approximable grids
Seonhee Lim, Nicolas de Saxcé, Uri Shapira
math.DS2008
Measure theoretical entropy of covers
Uri Shapira
math.DS2009
A solution to a problem of Cassels and Diophantine properties of cubic numbers
Uri Shapira
math.DS2011
Diophantine approximations on fractals
Manfred Einsiedler, Lior Fishman, Uri Shapira
math.DS2016
Stable lattices and the diagonal group
Uri Shapira, Barak Weiss
math.DS2013
On the evolution of continued fractions in a fixed quadratic field
Menny Aka, Uri Shapira
math.NT2016
Shapes of unit lattices and escape of mass
Ofir David, Uri Shapira
math.NT2015
Integer points on spheres and their orthogonal grids
Menny Aka, Manfred Einsiedler, Uri Shapira
math.DS2015
Full escape of mass for the diagonal group
Uri Shapira
math.DS2009
On a generalization of Littlewood's conjecture
Uri Shapira
math.NT2015
Integer points and their orthogonal lattices
Menny Aka, Manfred Einsiedler, Uri Shapira