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Reflection Positivity:Gaussian Domination, Chessboard Estimates, Diagonal Reflections

<< Infrared Bound & Mean-field Theory:Approximation Theorem & Applications, Literature Remarks
Applications of Chessboard Estimates:Gaussian Double-well Model, Proof of Phase Coexistence >>



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Table of Contents:
  1. Introduction:Organization, Acknowledgments
  2. Lattice Spin Models: Crash Course:Basic Setup, Gibbs Formalism, Some Thermodynamics
  3. Infrared Bound & Spin-wave Condensation:Random Walk Connections, Literature Remarks
  4. Infrared Bound & Mean-field Theory:Approximation Theorem & Applications, Literature Remarks
  5. Reflection Positivity:Gaussian Domination, Chessboard Estimates, Diagonal Reflections
  6. Applications of Chessboard Estimates:Gaussian Double-well Model, Proof of Phase Coexistence
  7. Topics Not Covered
  8. Three Open Problems