2 papers
math.DG2025
Finsler and sub-Finsler geodesics with chattering
L. V. Lokutsievskiy, M. I. Zelikin
In this paper, we provide examples of Finsler and sub-Finsler manifolds whose geodesics exhibit chattering, that is, a countable number of switches over an arbitrarily small time i…
quant-ph2024
Time-optimal state transfer for an open qubit
L. V. Lokutsievskiy, A. N. Pechen, M. I. Zelikin
Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is…