10 citations · 15 across the 3 of their papers we have counts for
3 papers
math.DS2021★ 5 cited
-norm and regularity
Dmitry Treschev
In \cite{Tre_PSI20} we introduce the concept of a -norm for a bounded operator in a Hilbert space. The main motivation is the extension of the measure entropy to the case of qua…
math.DS2021★ 10 cited
Isochronicity in 1 DOF
Dmitry Treschev
Our main result is the complete set of explicit conditions necessary and sufficient for isochronicity of a Hamiltonian system with one degree of freedom. The conditions are present…
math.DS2016
A locally integrable multi-dimensional billiard system
Dmitry Treschev
We consider a multi-dimensional billiard system in an (n+1)-dimensional Euclidean space, the direct product of the "horizontal" hyperplane and the "vertical" line. The hypersurface…