M. Dubashinskiy

activity

20152022

collaborators

4 papers

math.SP2022

Growth and nodal current of complexified horocycle eigenfunctions

Mikhail Dubashinskiy

We study horocycle eigenfunctions at Lobachevsky plane. They are functions $u : H = C^{+} = {z \in C : ℑ z > 0} \to C$ such that $\left(-y^2\left(\f…

math.DS2020

Infinite ascension limit: horocyclic chaos

Mikhail Dubashinskiy

What will be if, given a pure stationary state on a compact hyperbolic surface, we start applying raising operator every $ℏ$ "adiabatic" second? It turns that during adiabatic…

math.SP2019

On spectra of hyperbolic surfaces without thin handles

Mikhail Dubashinskiy

We obtain a sharp lower estimate on eigenvalues of Laplace--Beltrami operator on a hyperbolic surface with injectivity radius bounded from the below.

math.CA2015

Interpolation by periods in planar domain

Mikhail Dubashinskiy

Let $Ω \subset R^{2}$ be a countably connected domain. To any closed differential form of degree $1$ in $Ω$ with components in $L^{2} (Ω)$ one associates the sequence of its perio…