5 papers · 1 filter
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 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…
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…
An effective closing lemma for unipotent flows
Elon Lindenstrauss, Gregory Margulis, Amir Mohammadi +2
We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.