8 citations · 16 across the 20 of their papers we have counts for
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math.DS2014
Exceptional sets in homogeneous spaces and Hausdorff dimension
Shirali Kadyrov
In this paper we study the dimension of a family of sets arising in open dynamics. We use exponential mixing results for diagonalizable flows in compact homogeneous spaces to s…
math.DS2014
Effective uniqueness of Parry measure and exceptional sets in ergodic theory
Shirali Kadyrov
It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estim…
math.DS2014★ 4 cited
Singular systems of linear forms and non-escape of mass in the space of lattices
S. Kadyrov, D. Y. Kleinbock, E. Lindenstrauss +1
Singular systems of linear forms were introduced by Khintchine in the 1920s, and it was shown by Dani in the 1980s that they are in one-to-one correspondence with certain divergent…