Andrew Krieger

activity

20172021

most citedArithmetic oscillations of the chemical distance in long-range percolation on

Z^{d}

5 citations · 5 across the 3 of their papers we have counts for

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math.PR2021★ 5 cited

Arithmetic oscillations of the chemical distance in long-range percolation on $Z^{d}$

Marek Biskup, Andrew Krieger

We consider a long-range percolation graph on $Z^{d}$ where, in addition to the nearest-neighbor edges of $Z^{d}$ , distinct $x, y \in Z^{d}$ are connected by an edge…

math.PR2021

The concentration inequality for a discrete height function model perturbed by random potential

Andrew Krieger

We present a proof of the concentration inequality for a discrete random surface model, where the underlying potential is perturbed by an additive random potential. The proof is ba…

math.PR2019

Deducing a variational principle with minimal a priori assumptions

Andrew Krieger, Georg Menz, Martin Tassy

We study the well-known variational and large deviation principle for graph homomorphisms from $Z^{m}$ to $Z$ . We provide a robust method to deduce those principles…

math.PR2017

Homogenization of the variational principle for discrete random maps