We prove that the Loop O (1) model, a well-known graphical expansion of the Ising model, is
a factor of iid on unimodular random rooted graphs under various conditions, including in …

Shearer's inequality bounds the sum of joint entropies of random variables in terms of the
total joint entropy. We give another lower bound for the same sum in terms of the individual …

This paper is concerned with certain invariant random processes (called factors of IID) on
infinite trees. Given such a process, one can assign entropies to different finite subgraphs of …

In a recent paper by A. Backhausz, B. Gerencs\'er and V. Harangi, it was shown that factors
of independent identically distributed random processes (IID) on trees obey certain …