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 26 publications
Patterns in sets of positive density in trees and affine buildings
Aperiodic order and spherical diffraction, III: The shadow transform and the diffraction formula
Sets of transfer times with small densities
Aperiodic order and spherical diffraction, II: translation bounded measures on homogeneous spaces
Spectral theory of approximate lattices in nilpotent Lie groups
Introduction to approximate groups
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
Central limit theorems for Diophantine approximants
Approximate Invariance for Ergodic Actions of Amenable Groups
BOREL DENSITY FOR APPROXIMATE LATTICES
Bohr Sets in Triple Products of Large Sets in Amenable Groups
Product set phenomena for measured groups
Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets
Ergodic theorems for coset spaces
QuasiI-State Rigidity for Finite-Dimensional Lie Algebras
Small product sets in compact groups
Twisted patterns in large subsets of ZN
Plünnecke inequalities for countable abelian groups
Central limit theorems in the geometry of numbers
Random walks on countable groups
Characteristic polynomial patterns in difference sets of matrices
Product set phenomena for countable groups
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Showing 1 research projects
Local and global properties of approximate lattices