List of publications
List of publications
2025
Hyperuniformity of random measures on Euclidean and hyperbolic spaces, joint with Mattias Byléhn
Decorrelation estimates for translated measures under diagonal flows, joint with Reynold Fregoli and Alexander Gorodnik.
Journal of Modern Dynamics
Ehrhart spectra of large subsets of Z^r, joint with Rickard Cullman and Alexander Fish
Colloquium Math
2024
Simplices in large sets and directional expansion in ergodic actions, joint with Alexander Fish.
Forum Sigma
A uniform metrical theorem in multiplicative Diophantine approximation, joint with Reynold Fregoli and Alexander Gorodnik.
Forum Sigma
A Szemerédi type theorem for sets of positive density in approximate lattices, joint with Alexander Fish
Ergodic Theory and Dynamical Systems
2023
Hyperuniformity and nonhyperuniformity of quasicrystals, joint with Tobias Hartnick.
Boundaries of dense subgroups of totally disconnected groups, joint with Yair Hartman and Hanna Oppelmayer.
Central limit theorems for generic lattice point counting, joint with Alexander Gorodnik.
Poisson approximation and Weibull asymptotics in the geometry of numbers, joint with Alexander Gorodnik.
Effective multiple equidistribution of translated measures, joint with Alexander Gorodnik.
International Mathematical Research Notices (IMRN)
Intersection spaces and multiple transverse recurrence, joint with Tobias Hartnick and Yakov Karasik.
Journal d'analyse
2022
Spectral theory of approximate lattices in nilpotent Lie groups, joint with Tobias Hartnick.
Kudo-continuity of conditional entropies, joint with Yair Hartman and Hanna Oppelmayer.
Annales de l'Institut Henri Poincaré
Aperiodic order and spherical diffraction II: translation-bounded measures on homogeneous spaces, joint with Tobias Hartnick and Felix Pogorzelski.
2021
Ergodicity and type of non-singular Bernoulli actions, joint with Zemer Kosloff and Stefaan Vaes.
Aperiodic order and spherical diffraction III: The shadow transform and the diffraction formula, joint with Tobias Hartnick and Felix Pogorzelski.
Journal of Functional Analysis
Patterns in sets of positive density in trees and affine buildings, joint with Alexander Fish and James Parkinson.
Sets of transfer times with small densities, joint with Alexander Fish and Ilya Shkredov.
Journal de l’École polytechnique - Mathématiques
2020
Quantitative multiple mixing, joint with Manfred Einsiedler and Alexander Gorodnik.
Journal of the European Mathematical Society (JEMS)
Analytic properties of approximate lattices, joint with Tobias Hartnick.
Central limit theorems for actions which are exponentially mixing of all orders, joint with Alexander Gorodnik.
Journal d'Analyse Mathématique
2019
Central limit theorems for Diophantine approximants, joint with Alexander Gorodnik.
Borel density for approximate lattices, joint with Tobias Hartnick.
Approximate invariance for ergodic actions of amenable groups, joint with Alexander Fish.
Bohr sets in triple products of large sets in amenable groups, joint with John Griesmer.
Journal of Fourier analysis and applications
2018
Approximate lattices, joint with Tobias Hartnick.
Ergodic theorems for coset spaces, joint with Alexander Fish.
Journal d'Analyse Mathémathique
2017
Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets, joint with Tobias Hartnick and Felix Pogorzelski
Proceedings of the London Mathematical Society (PLMS)
Twisted patterns in large subsets of Z^N, joint with Kamil Bulinski.
Commentari Mathematici Helvetici
Plünnecke inequalities for countable abelian groups, joint with Alexander Fish.
Journal für die reine und angewandte Mathematik (Crelle)
Quasi-state rigidity for finite-dimensional Lie algebras, joint with Tobias Hartnick.
Random walks on countable groups.
Product set phenomena in measured groups.
Ergodic theory and dynamical systems (ETDS)
Small product sets in compact groups.
Central limit theorems in geometry of numbers, joint with Alexander Gorodnik.
Electronic Research Announcements in Mathematical Sciences (AIMS)
2016
Characteristic polynomial patterns in difference sets of matrices, joint with Alexander Fish.
Bulletin of the London Mathematical Society (BLMS)
2015
Product set phenomena for countable groups, joint with Alexander Fish.
2009-2011
Biharmonic functions on groups and limit theorems for quasi-morphisms along random walks, joint with Tobias Hartnick.
Geometry and topology (2011)
The asymptotic shape theorem for generalized first-passage percolation.
Annals of probability (2010)
Ergodic theorerms for random clusters.
Stochastic processes and their applications. (2010)
Almost sure absolute continuity of Bernoulli convolutions, joint with Daniel Schnellmann.
Annales de l'Institut Henri Poincaré (2010)
Equidistribution of dilations of polynomial curves in nilmanifolds, joint with Alexander Fish.
Proceedings of the American Mathematical Society (2009)
The g-theorem matrices are totally non-negative, joint with Alexander Engström.
Journal of Combinatorial Theory, Series A (2009)
Continuous measures on homogeneous spaces, joint with Alexander Fish.
Annales de l'Institut Fourier (2009)
Almost sure equidistribution in expansive families, joint with Daniel Schnellmann.
Indagationes Mathematicae (2009)
Entropy range problems and actions of locally normal groups, joint with Richard Miles.
Discrete and Continuous Dynamical Systems (2009)