MATH-486 / 5 credits

Teacher: Friedli Sacha

Language: English

Remark: Donné en alternance une année sur deux


Summary

This course provides a rigorous introduction to the ideas, methods and results of classical statistical mechanics, with an emphasis on presenting the central tools for the probabilistic description of infinite lattice systems.

Content

Keywords

statistical mechanics, phase transitions, Gibbs measures, entropy, Ising model, Gaussian Free Field

Learning Prerequisites

Required courses

 

  • Analyse 1et 2
  • Théorie de la Mesure
  • Probabilités

 

Assessment methods

Examen oral.

 

Dans le cas de l’art. 3 al. 5 du Règlement de section, l’enseignant décide de la forme de l’examen qu’il communique aux étudiants concernés.

Supervision

Office hours No
Assistants No
Forum No

Resources

Virtual desktop infrastructure (VDI)

No

Bibliography

 

Statistical mechanics of lattice systems; a concrete mathematical introduction, by S. Friedli and Y. Velenik (Cambridge University Press, 2017)

Gibbs Measures and Phase Transitions, by H.-O. Georgii (De Gruyter Studies in Mathematics Vol. 9. Berlin: de Gruyter 1988)

 

Ressources en bibliothèque

Websites

Moodle Link

In the programs

  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Statistical mechanics and Gibbs measures
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14 MAA330   
14-15    
15-16 MAA330   
16-17    
17-18     
18-19     
19-20     
20-21     
21-22     

Tuesday, 13h - 15h: Lecture MAA330

Tuesday, 15h - 17h: Exercise, TP MAA330

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