3 citations · 4 across the 2 of their papers we have counts for
6 papers
Linear-fractional rotational interval exchange transformations
Alexey Teplinsky
Linear-fractional rotational interval exchange transformations appear naturally when investigating circle diffeomorphisms with breaks using the renormalization group approach. Earl…
Interval Rearrangement Ensembles
Alexey Teplinsky
We introduce a new concept of interval rearrangement ensembles (IRE), which is a generalization of interval exchange transformations (IET). This construction expands the space of I…
A circle diffeomorphism with breaks that is smoothly linearizable
Alexey Teplinsky
In this paper we answer positively a question of whether it is possible for a circle diffeomorphism with breaks to be smoothly conjugate to a rigid rotation in the case when its br…
Frequency locking of modulated waves
Lutz Recke, Anatoly Samoilenko, Alexey Teplinsky +2
We consider the behavior of a modulated wave solution to an -equivariant autonomous system of differential equations under an external forcing of modulated wave type.…
Herman's Theory Revisited (Extension)
Alexey Teplinsky
We prove that a -smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class , , is -smoothly conjugate to a rig…
Herman's Theory Revisited
Konstantin Khanin, Alexey Teplinsky
We prove that a -smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class , , is -smoothly conjugate to a r…