R-Code for Thermodynamics of the Fermi-Hubbard Model
through Stochastic Calculus and Girsanov Transformation


Chapter 1:  Why Girsanov Transformation and Stochastic Calculus? A Motivating Example
     Motivation-Girsanov-Example1.txt
     Motivation-Girsanov-Example2.txt

Chapter 2:  Setup and Main Result
     no code

Chapter 3:  Symmetry Relations
     no code

Chapter 4:  The Model at Half Filling
     4.1   Symmetry Relations at Half Filling and Constant Density Theorem
             no code
     4.2   Numerical Test: Main Theorem vs. Exact Diagonalization
             2D-Fermi-Hubbard-Exact-Diagonalization.txt
             2D-Monte-Carlo-Main-Theorem-w1=1.txt
             2D-Monte-Carlo-Main-Theorem-w2=1.txt
     4.3   Spin-Spin and Pair-Pair Correlation
             Correlation-Functions-Plain-Monte-Carlo-w1=1.txt
             Correlation-Functions-Plain-Monte-Carlo-w2=1.txt
     4.4   Temperature Zero Limit
             Energies-from-ODE-System-w1=1.txt
             Energies-from-ODE-System-w2=1.txt

Chapter 5:  Proof of Main Theorem
     no code



Hochschule RheinMain Wiesbaden Rüsselsheim University of Applied Sciences, Prof. Dr. D. Lehmann