Thermodynamic pressure is the Legendre-Fenchel transform of negative entropy; equilibrium states are its subdifferentials, phase transitions mark non-differentiability, and a universal variational principle unifies additive, subadditive, and relative cases.
Springer, Berlin (1980)
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DS 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Five characterizations of Gibbs measures for Hölder potentials on topologically mixing subshifts of finite type are equivalent in a single theorem with explicit constants, plus derived spectral gaps, stability, and limit theorems.
citing papers explorer
-
The Convex-Analytic Structure of Thermodynamic Equilibrium: Pressure, Subdifferentials, and Phase Transitions
Thermodynamic pressure is the Legendre-Fenchel transform of negative entropy; equilibrium states are its subdifferentials, phase transitions mark non-differentiability, and a universal variational principle unifies additive, subadditive, and relative cases.
-
Gibbs Measures on Subshifts of Finite Type: Five Equivalent Characterizations with Explicit Constants
Five characterizations of Gibbs measures for Hölder potentials on topologically mixing subshifts of finite type are equivalent in a single theorem with explicit constants, plus derived spectral gaps, stability, and limit theorems.