27 citations · 72 across the 15 of their papers we have counts for
12 papers · 1 filter
Hyperuniform Delone Realizations and Rigidity
Michael Björklund
We prove a measurable realization theorem for hyperuniform Delone point processes. In dimensions \(d\geq2\), for every prescribed \(q\geq1\), every essentially free ergodic p.m.p.\…
A Szemerédi type theorem for sets of positive density in approximate lattices
Michael Björklund, Alexander Fish
An extension of Szemerédi's Theorem is proved for sets of positive density in approximate lattices in general locally compact and second countable abelian groups. As a consequence,…
Simplices in large sets and directional expansion in ergodic actions
Michael Björklund, Alexander Fish
In this paper we study ergodic -actions and investigate expansion properties along cyclic subgroups. We show that under some spectral conditions there are always dire…
Aperiodic order and spherical diffraction, II: Translation bounded measures on homogeneous spaces
Michael Björklund, Tobias Hartnick, Felix Pogorzelski
We study the auto-correlation measures of invariant random point processes in the hyperbolic plane which arise from various classes of aperiodic Delone sets. More generally, we stu…
Quantitative multiple mixing
Michael Björklund, Manfred Einsiedler, Alexander Gorodnik
We develop a method for providing quantitative estimates for higher order correlations of group actions. In particular, we establish effective mixing of all orders for actions of s…
Approximate invariance for ergodic actions of amenable groups
Michael Björklund, Alexander Fish
We develop in this paper some general techniques to analyze action sets of small doubling for probability measure-preserving actions of amenable groups. As an application of these…
Aperiodic order and spherical diffraction, I: Auto-correlation of model sets
Michael Björklund, Tobias Hartnick, Felix Pogorzelski
We study uniform and non-uniform model sets in arbitrary locally compact second countable (lcsc) groups, which provide a natural generalization of uniform model sets in locally com…
Twisted patterns in large subsets of
Michael Björklund, Kamil Bulinski
Let be a set of positive upper Banach density and let be a finitely generated, strongly irreducible subgroup whose Zar…
Characteristic Polynomial Patterns in Difference Sets of Matrices
Michael Björklund, Alexander Fish
We show that for every subset of positive density in the set of integer square-matrices with zero traces, there exists an integer such that the set of characteristic…
Ergodic Theorems for coset spaces
Michael Björklund, Alexander Fish
We study in this paper the validity of the mean ergodic theorem along \emph{left} Følner sequences in a countable amenable group . Although the \emph{weak} ergodic theorem alway…
Plünnecke inequalities for countable abelian groups
Michael Björklund, Alexander Fish
We establish in this paper a new form of Plünnecke-type inequalities for ergodic probability measure-preserving actions of any countable abelian group. Using a correspondence princ…
Product set phenomena for countable groups
MIchael Björklund, Alexander Fish
We develop in this paper general techniques to analyze local combinatorial structures in product sets of two subsets of a countable group which are "large" with respect to certain…