The Ising model and related topics

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04414
    Languages English , French
    Type of lesson Lecture
    Level Master
    Semester SP-2022

    Schedules and rooms

    Summary schedule Tuesday 13:15 - 17:00, Hebdomadaire (Spring semester)

    Teaching

    Responsibles
    • Manolescu Ioan
    Teachers
    • Manolescu Ioan
    Description

    This course is a mathematical analysis of the Ising model, one of the most famous statistical mechanics models. We will start by introducing the model and the relevant questions, then go on to prove the existence of a phase transition for the ferromagnetic model on the d-dimensional hypercubic lattice. Finally, we will focus on specific features of the two dimensional model. 
    Condition of access

    Pre-requisites: 

    The second-year course of introduction to probability (MA.2431/32) (or an equivalent course) is a necessary prerequisite. 

    An advanced course on measure theory and/or probability (Measure and Integration MA.3400/MA.4400 or Probability MA.3412/MA.4412) are recommended but not strictly necessary. 
    Comments

    counts for applied mathematics
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    22.02.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    01.03.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    08.03.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    15.03.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    22.03.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    29.03.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    05.04.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    12.04.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    26.04.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    03.05.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    10.05.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    17.05.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    24.05.2022 13:15 - 17:00 Cours PER 12, Room 0.101
    31.05.2022 13:15 - 17:00 Cours PER 12, Room 0.101
  • Assessments methods

    Oral exam - SP-2022, Autumn Session 2022

    Assessments methods By rating
    Descriptions of Exams

     

     
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Specialized courses in Mathematics (Master level)
    Additional programme requirements for PhD studies [PRE-DOC]
    Version: 2020_1/v_01
    Additional programme requirements for PhD studies (Faculty of Science and Medicine) > Specialized courses in Mathematics (Master level)
    MSc in Mathematics [MA] 90
    Version: 2022_1/V_01
    MSc in Mathematics, lectures and seminars (from AS2020 on) > MSc-MA, lectures (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)