2 papers
math.CO2024
Local dimer dynamics in higher dimensions
Ivailo Hartarsky, Lyuben Lichev, Fabio Toninelli
We consider local dynamics of the dimer model (perfect matchings) on hypercubic boxes . These consist of successively switching the dimers along alternating cycles of prescr…
math.PR2024
Non-reversible stationary states for majority voter and Ising dynamics on trees
Piet Lammers, Fabio Toninelli
We study three Markov processes on infinite, unrooted, regular trees: the stochastic Ising model (also known as the Glauber heat bath dynamics of the Ising model), a majority voter…