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math.DS2016
Distribution of orbits of unipotent groups on S-arithmetic homogeneous spaces
Keivan Mallahi-Karai
We will prove an S-arithmetic version of a theorem of Dani-Margulis on the convergence of ergodic averages of a given bounded continuous function, when the initial point is outside…
math.DS2016★ 1 cited
Asymptotic distribution of values of isotropic quadratic forms at -integral points
Jiyoung Han, Seonhee Lim, Keivan Mallahi-Karai
We prove an analogue of a theorem of Eskin-Margulis-Mozes: suppose we are given a finite set of places over containing the archimedean place and excluding the prim…