Archive of posts with tag “functional analysis”

• May 1, 2023

  A measure-theoretic formulation of statistical ensembles (part 2)

  For sake of rigor and generalizability, I feel it necessary to try to have a mathematical formulation for statistical ensembles. I chose measure spaces as the underlying mathematical structure of thermal systems and tried to justify the method of statistical ensembles by deducing them from some axioms.

  • Categories: physics
  • Tags: mathematical physics, statistical mechanics, functional analysis, measure theory, probability, long paper
• Mar 30, 2023

  A measure-theoretic formulation of statistical ensembles (part 1)

  For sake of rigor and generalizability, I feel it necessary to try to have a mathematical formulation for statistical ensembles. I chose measure spaces as the underlying mathematical structure of thermal systems and tried to justify the method of statistical ensembles by deducing them from some axioms.

  • Categories: physics
  • Tags: mathematical physics, statistical mechanics, functional analysis, measure theory, probability, long paper