Exponential Families and MaxEnt Calculations for Entropy Measures of Statistical Physics
Flemming Tops{\o}e
TL;DR
This paper explores how exponential families and MaxEnt principles facilitate the calculation of equilibrium states across various entropy measures in statistical physics, building on game theory and maximum entropy concepts.
Contribution
It introduces a unified approach using exponential families and MaxEnt calculations for diverse entropy measures, extending previous theoretical frameworks.
Findings
Simplifies equilibrium calculations for multiple entropy measures
Connects game theory with maximum entropy principles in statistical physics
Provides a generalized method for entropy-based equilibrium analysis
Abstract
For a wide range of entropy measures, easy calculation of equilibria is possible using a principle of Game Theoretical Equilibrium related to Jaynes Maximum Entropy Principle. This follows previous work of the author and relates to works of Naudts and, partly, Abe and Bagci.
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