23 citations · 76 across the 10 of their papers we have counts for
3 papers · 2 filters
The interchange process with reversals on the complete graph
Jakob E. Björnberg, Michał Kotowski, Benjamin Lees +1
We consider an extension of the interchange process on the complete graph, in which a fraction of the transpositions are replaced by `reversals'. The model is motivated by statisti…
A note on concentration for polynomials in the Ising model
Radosław Adamczak, Michał Kotowski, Bartłomiej Polaczyk +1
We present precise multilevel exponential concentration inequalities for polynomials in Ising models satisfying the Dobrushin condition. The estimates have the same form as two-sid…
Phase transition for the interchange and quantum Heisenberg models on the Hamming graph
Radosław Adamczak, Michał Kotowski, Piotr Miłoś
We study a family of random permutation models on the Hamming graph (i.e., the -fold Cartesian product of complete graphs), containing the interchange process and the c…