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Isoradial graphs are a natural generalization of regular graphs which give,for many models of statistical mechanics, the right framework for studying models at criticality.
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...
Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
Entropic Fluctuations Statistical Mechanics I. Classical Dynamical Systems
2010/12/8
Within the abstract framework of dynamical system theory we describe a general approach to the
Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibr...
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Arithmetic equivalence quantum statistical mechanics Bost-Connes system anabelian geometry
2010/11/29
It is known that two number fields with the same Dedekind zeta function are not necessarily
isomorphic. The zeta function of a number field can be interpreted as the partition function of
an associa...