MATH 742, Winter 2005, Phase Transitions

Instructors: Bruce Reed, Vojkan Jaksic

  • OFFICE: B.R. MC301, V.J. BURN1209
  • OFFICE HOURS: By appointment
  • E-MAIL:,
  • TIME & PLACE: Wednesday, 1-4pm, Burnside 1205 (Note: The course will start on January 12th)
  • ABOUT THE COURSE: This course will deal with phenomenon of phase transition in statistical mechanics. The first two weeks will be devoted to phase transitions in percolation theory. The remaining part of the course is devoted to statistical mechanics of classical spin systems
  • REFERENCES: G. Grimmett, Percolation, Springer, first edition 1989, second edition 1999; B. Simon, The Statistical Mechanics of Lattice Gases, Princeton University Press 1993; R. Israel, Convexity in the Theory of Lattice Gases, Princeton University Press 1979; D. Ruelle, Statistical Mechanics: Rigorous Results, World Scientific 1999; R. Ellis, Entropy, Large Deviations, and Statistical Mechanics, Springer 1985. Additional reading material will be distributed every week
  • PREREQUISITES: MATH 564 and 565 (Advanced Real Analysis), MATH 587 and 589 (Advanced Probability Theory), MATH 741 (Concentration Inequalities) OR permission of the instructors
  • GRADING: There will be two homework assignments worth 50% and a presentation worth 50%
  • NOTICE: McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see McGill webpage on Academic Integ rity for more information)