Citations of:
A new approach to the approach to equilibrium
In Yemima BenMenahem & Meir Hemmo (eds.), Probability in Physics. The Frontiers Collection. Springer. pp. 99114 (2012)
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The received wisdom in statistical mechanics is that isolated systems, when left to themselves, approach equilibrium. But under what circumstances does an equilibrium state exist and an approach to equilibrium take place? In this paper we address these questions from the vantage point of the longrun fraction of time definition of Boltzmannian equilibrium that we developed in two recent papers. After a short summary of Boltzmannian statistical mechanics and our definition of equilibrium, we state an existence theorem which provides general (...) 

In Boltzmannian statistical mechanics macrostates supervene on microstates. This leads to a partitioning of the state space of a system into regions of macroscopically indistinguishable microstates. The largest of these regions is singled out as the equilibrium region of the system. What justifies this association? We review currently available answers to this question and find them wanting both for conceptual and for technical reasons. We propose a new conception of equilibrium and prove a mathematical theorem which establishes in full generality (...) 