4 citations · 4 across the 3 of their papers we have counts for
5 papers
Quenched functional central limit theorem for the random conductance model under minimal moments
Leonid Kolesnikov, Yannic Steenbeck
We prove a quenched functional central limit theorem for the random conductance model with ergodic translation-invariant, strictly positive nearest-neighbor conductances, assuming…
Logarithms of Catalan generating functions: A combinatorial approach
Sabine Jansen, Leonid Kolesnikov
We analyze the combinatorics behind the operation of taking the logarithm of the generating function for generalized Catalan numbers. We provide combinatorial i…
Cluster expansions: Necessary and sufficient convergence conditions
Sabine Jansen, Leonid Kolesnikov
We prove a new convergence condition for the activity expansion of correlation functions in equilibrium statistical mechanics with possibly negative pair potentials. For non-negati…
The Direct-Connectedness Function in the Random Connection Model
Sabine Jansen, Leonid Kolesnikov, Kilian Matzke
We investigate expansions for connectedness functions in the random connection model of continuum percolation in powers of the intensity. Precisely, we study the pair-connectedness…
The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice
Markus Heydenreich, Leonid Kolesnikov
We consider the ferromagnetic nearest-neighbor Ising model on regular trees (Bethe lattice), which is well-known to undergo a phase transition in the absence of an external magneti…