6 papers
Uniformly Positive Mean Dimension
Tal Barak, Elon Lindenstrauss
We study the relation between uniformly positive entropy and uniformly positive mean dimension at the level of fixed open covers. To a symbolic system X, we associate a hub-and-spo…
Polynomially effective equidistribution for unipotent orbits in products of factors
Elon Lindenstrauss, Amir Mohammadi, Lei Yang
We sketch the proof of an effective equidistribution theorem for one-parameter unipotent subgroups in -arithmetic quotients arising from -forms of $\mathrm{SL}_2^{\ma…
Effective equidistribution for some one parameter unipotent flows
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of in arithmetic quotients of $\ope…
Effective equidistribution in rank 2 homogeneous spaces and values of quadratic forms
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang +1
We establish effective equidistribution theorems, with a polynomial error rate, for orbits of unipotent subgroups in quotients of quasi-split, almost simple Linear algebraic groups…
Effective equidistribution of semisimple adelic periods and representations of quadratic forms
Manfred Einsiedler, Elon Lindenstrauss, Amir Mohammadi +1
We prove an effective equidistribution theorem for semisimple closed orbits on compact adelic quotients. The obtained error depends polynomially on the minimal complexity of interm…
Time change rigidity for unipotent flows
Elon Lindenstrauss, Daren Wei
We prove a dichotomy regarding the behavior of one-parameter unipotent flows on quotients of semisimple lie groups under time change. We show that if acting on $\mathbf…