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math.PR2019
Uniform existence of the IDS on lattices and groups
Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic
We present a general framework for thermodynamic limits and its applications to a variety of models. In particular we will identify criteria such that the limits are uniform in a p…
math.PR2016★ 9 cited
A Glivenko-Cantelli Theorem for almost additive functions
Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic
We develop a Glivenko--Cantelli theory for monotone, almost additive functions of i.\,i.\,d.\ sequences of random variables indexed by~. Under certain conditions on the rando…