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math.DS2018
Invariant measures for interval translations and some other piecewise continuous maps
Sergey Kryzhevich
We study some special classes of piecewise continuous maps on a finite smooth partition of a compact manifold and look for invariant measures for such maps. We show that in the sim…
math.DS2018★ 3 cited
The saga of a fish: from a survival guide to closing lemmas
Sergey Kryzhevich, Eugene Stepanov
In the paper by D.~Burago, S.~Ivanov and A.~Novikov, "A survival guide for feeble fish", it has been shown that a fish with limited velocity can reach any point in the (possibly un…