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math.DS2012
Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and Hausdorff dimension
Shirali Kadyrov, Anke D. Pohl
Recently, Einsiedler and the authors provided a bound in terms of escape of mass for the amount by which upper-semicontinuity for metric entropy fails for diagonal flows on homogen…
math.DS2012
Diophantine approximation with restricted numerators and denominators on semisimple groups
Alexander Gorodnik, Shirali Kadyrov
We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative appr…