1 citations · 1 across the 1 of their papers we have counts for
5 papers
On boundary correlations in planar Ashkin-Teller models
Marcin Lis
We generalize the switching lemma of Griffiths, Hurst and Sherman to the random current representation of the Ashkin-Teller model. We then use it together with properties of two-di…
On delocalization in the six-vertex model
Marcin Lis
We show that the six-vertex model with parameter on a square lattice torus has an ergodic infinite-volume limit as the size of the torus grows to infinity. Moreo…
Spins, percolation and height functions
Marcin Lis
To highlight certain similarities in combinatorial representations of several well known two-dimensional models of statistical mechanics, we introduce and study a new family of mod…
Spin systems from loop soups
Tim van de Brug, Federico Camia, Marcin Lis
We study spin systems defined by the winding of a random walk loop soup. For a particular choice of loop soup intensity, we show that the corresponding spin system is reflection-po…
Gaussian approximation of moments of sums of independent random variables
Marcin Lis
We continue the research of Latała on improving estimates of -th moments of sums of independent random variables. We generalize some of his results in the case when $2 \leq p \l…