A. Zuevsky

collaborators

4 papers

math.FA2026

Exponential Growth of Mean Multiplicities in Length Spectra of Semi-Arithmetic Surfaces of Arbitrary Arithmetic Dimension

A. Zuevsky

We study the exponential growth of mean multiplicities (EGMM) in the geodesic length spectrum of a semi-arithmetic Fuchsian group $Γ$ of finite covolume and arithmetic dimension $r…

math.FA2026

Non-Euclidean unification of isoperimetric profiles and grand Lebesgue-Sobolev scales

Daniel Levin, Alexander Zuevsky

Let $(X, d, μ)$ be a complete separable metric measure space satisfying a doubling condition and a $(1, 1)$ -Poincaré inequality. We develop a rigorous framework unifying two lines of…

math.FA2026

Hardy spaces on Riemann surfaces under ramified coverings

A. Zuevsky

We extend the theory of indefinite Hardy spaces on finite bordered Riemann surfaces to the setting of ramified analytic coverings. Given a finite $n$ -sheeted ramified covering $F\c…

cond-mat.mes-hall2026

Topological invariant responsible for the integer QHE and non-commutative geometry

G. Kovyrshin, A. Mekrami, J. Miller +2

We consider a wide class of $2 D$ tight - binding models of solid state physics. These models are, in the most general case, non - homogeneous. The topological invariant ${\cal N}_3…