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0 reviewshow a thermodynamic framework can be systematically constructed from Hamilto-
nian dynamics. This fundamental question has a long and interesting history, dating
back to seminal work by Boltzmann, Gibbs, and Hertz at the turn of the twentieth
century, and it has regained critical importance with recent applications of ther-
mostatistical concepts to small systems. While many modern textbooks adopt an
axiomatic approach that starts from an abstract set of thermodynamic postulates, the
constructive “bottom-up” approach pursued in this monograph shows how a reduced
thermodynamic description emerges naturally by linking dynamical time averages
with statistical ensemble averages through the ergodicity hypothesis.