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math.GR2021
Optimal Linear Sofic Approximations Of Countable Groups
Keivan Mallahi-Karai, Maryam Mohammadi Yekta
A countable group G is called k-linear sofic (for some 0 <k \le 1) if finite subsets of G admit "approximate representations" by complex invertible matrices in the normalized rank…
math.DS2021
Asymptotic distribution for pairs of linear and quadratic forms at integral vectors
Jiyoung Han, Seonhee Lim, Keivan Mallahi-Karai
We study the joint distribution of values of a pair consisting of a quadratic form and a linear form over the set of integral vectors, a problem initiated by Dani-M…