23 citations · 65 across the 22 of their papers we have counts for
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math.DS2017
Delone dynamical systems and spectral convergence
Siegfried Beckus, Felix Pogorzelski
In the realm of Delone sets in locally compact, second countable, Hausdorff groups, we develop a dynamical systems approach in order to study the continuity behavior of measured qu…
math.DS2017
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…
math.DS2017
The Shannon-McMillan-Breiman theorem beyond amenable groups
Amos Nevo, Felix Pogorzelski
We introduce a new isomorphism-invariant notion of entropy for measure preserving actions of arbitrary countable groups on probability spaces, which we call orbital Rokhlin entropy…