10 citations · 15 across the 3 of their papers we have counts for
5 papers · 1 filter
Normalization flow in the presence of a resonance
Dmitry Treschev
Following arXiv:2303.02992, we develop an approach to the Hamiltonian theory of normal forms based on continuous averaging. We concentrate on the case of normal forms near an ellip…
On quantum Floquet theorem
Dmitry Treschev
We consider the Schrödinger equation , . The operator includes smooth potential , which is assu…
-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…
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…
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…