Michael Bersudsky

activity

20152025

most citedCourant-sharp eigenvalues of Neumann 2-rep-tiles

6 citations · 7 across the 9 of their papers we have counts for

collaborators

9 papers

math.DS2025

Limit distributions for $SO (n, 1)$ action on $k$ -lattices in $R^{n + 1}$

Michael Bersudsky, Nimish A. Shah

We study the asymptotic distribution of norm ball averages along orbits of a lattice $Γ \subset SO (n, 1)$ acting on the moduli space of pairs of orthogonal discrete subgroups…

math.DS2024

Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces

Michael Bersudsky, Nimish A. Shah, Hao Xing

We extend Ratner's theorem on equidistribution of individual orbits of unipotent flows on finite volume homogeneous spaces of Lie groups to trajectories of non-contracting curves d…

math.DS2023

Limiting distribution of dense orbits in a moduli space of rank $m$ discrete subgroups in $(m + 1)$ -space

Michael Bersudsky, Hao Xing

We study the limiting distribution of dense orbits of a lattice subgroup $Γ \leq SL (m + 1, R)$ acting on $H \ SL (m + 1, R)$ , with respect to a filtra…

math.DS2023

Equidistribution of lattice orbits in the space of homothety classes of rank $2$ sublattices in $R^{3}$

Michael Bersudsky, Hao Xing

We study the distribution of orbits of a lattice $Γ \leq SL (3, R)$ in the moduli space $X_{2, 3}$ of covolume one rank-two discrete subgroups in $R^{3}$ . Each orbi…

math.NT2021

Linnik's problem in fiber bundles over quadratic homogeneous varieties

Michael Bersudsky, Uri Shapira

We compute the statistics of $S L_{d} (Z)$ matrices lying on level sets of an integral polynomial defined on $S L_{d} (R)$ , a result that is a variant of the well kno…

math.NT2020

On the image in the torus of sparse points on dilating analytic curves

Michael Bersudsky

It is known that the image in $R^{2} / Z^{2}$ of a circle of radius $ρ$ in the plane becomes equidistributed as $ρ \to \infty$ . We consider the following sparse versi…

math.DS2019★ 1 cited

On the distribution of primitive subgroups of $Z^{d}$ of large covolume

Michael Bersudsky

We prove existence and compute the limiting distribution of the image of rank- $(d - 1)$ primitive subgroups of $Z^{d}$ of large covolume in the space $X_{d - 1, d}$ …

math.SP2018

Neumann Domains on Graphs and Manifolds

Lior Alon, Ram Band, Michael Bersudsky +1

The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. Another natural partition is based on the gradient vector field of the eigenfuncti…

math.SP2015★ 6 cited

Courant-sharp eigenvalues of Neumann 2-rep-tiles

Ram Band, Michael Bersudsky, David Fajman

We find the Courant-sharp Neumann eigenvalues of the Laplacian on some 2-rep-tile domains. In $R^{2}$ the domains we consider are the isosceles right triangle and the rectangle wi…

Limit distributions for SO(n,1) action on k-lattices in Rn+1

Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces

Limiting distribution of dense orbits in a moduli space of rank m discrete subgroups in (m+1)-space

Equidistribution of lattice orbits in the space of homothety classes of rank 2 sublattices in R3

Linnik's problem in fiber bundles over quadratic homogeneous varieties

On the image in the torus of sparse points on dilating analytic curves

On the distribution of primitive subgroups of Zd of large covolume

Neumann Domains on Graphs and Manifolds

Courant-sharp eigenvalues of Neumann 2-rep-tiles

Limit distributions for $SO (n, 1)$ action on $k$ -lattices in $R^{n + 1}$

Limiting distribution of dense orbits in a moduli space of rank $m$ discrete subgroups in $(m + 1)$ -space

Equidistribution of lattice orbits in the space of homothety classes of rank $2$ sublattices in $R^{3}$

On the distribution of primitive subgroups of $Z^{d}$ of large covolume