Michael Björklund
My research is focused on applications of ergodic theory within different areas of mathematics; primarily within combinatorics, geometric group theory, representation theory and number theory.
Showing 34 publications
Simplices in large sets and directional expansion in ergodic actions
A Szemeredi type theorem for sets of positive density in approximate lattices
Hyperuniformity and non-hyperuniformity of quasicrystals
Kudō-continuity of conditional entropies
Central limit theorems for generic lattice point counting
Effective Multiple Equidistribution of Translated Measures
Boundaries of dense subgroups of totally disconnected groups
POISSON APPROXIMATION AND WEIBULL ASYMPTOTICS IN THE GEOMETRY OF NUMBERS
Sets of transfer times with small densities
Spectral theory of approximate lattices in nilpotent Lie groups
Aperiodic order and spherical diffraction, II: translation bounded measures on homogeneous spaces
Aperiodic order and spherical diffraction, III: The shadow transform and the diffraction formula
Introduction to approximate groups
Patterns in sets of positive density in trees and affine buildings
ANALYTIC PROPERTIES OF APPROXIMATE LATTICES
Ergodicity and type of nonsingular Bernoulli actions
Central limit theorems for group actions which are exponentially mixing of all orders
Bohr Sets in Triple Products of Large Sets in Amenable Groups
BOREL DENSITY FOR APPROXIMATE LATTICES
Approximate Invariance for Ergodic Actions of Amenable Groups
Central limit theorems for Diophantine approximants
Ergodic theorems for coset spaces
Product set phenomena for measured groups
Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets
Random walks on countable groups
QuasiI-State Rigidity for Finite-Dimensional Lie Algebras
Plünnecke inequalities for countable abelian groups
Central limit theorems in the geometry of numbers
Twisted patterns in large subsets of ZN
Small product sets in compact groups
Characteristic polynomial patterns in difference sets of matrices
Product set phenomena for countable groups
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Showing 2 research projects
Long-range dependence within point processes of arithmetic origins
Local and global properties of approximate lattices