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math.CA2025
Optimal Hardy Inequality for Fractional Laplacians on the Lattice
Philipp Hake, Matthias Keller, Felix Pogorzelski
We study the fractional Hardy inequality on the integer lattice. We prove null-criticality of the Hardy weight and hence optimality of the constant. More specifically, we present a…
math.DS2025
Mixing and equipartition for automorphism invariant processes on regular trees
Felix Pogorzelski, Elias Zimmermann
The paper is devoted to equipartition of measured information for finite state processes over regular trees whose laws are invariant under all parity preserving tree automorphisms.…