42 citations · 87 across the 25 of their papers we have counts for
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math.DS2014★ 1 cited
Synchronization properties of random piecewise isometries
Anton Gorodetski, Victor Kleptsyn
We study the synchronization properties of the random double rotations on tori. We give a criterion that show when synchronization is present in the case of random double rotations…
math.GT2014★ 6 cited
Ribbon graphs and bialgebra of Lagrangian subspaces
Victor Kleptsyn, Evgeny Smirnov
To each ribbon graph we assign a so-called L-space, which is a Lagrangian subspace in an even-dimensional vector space with the standard symplectic form. This invariant generalizes…