The Ising model and related topics

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03414
    Languages French , English
    Type of lesson Lecture
    Level Bachelor
    Semester SP-2020

    Schedules and rooms

    Summary schedule Tuesday 13:15 - 17:00, Hebdomadaire (Spring semester)
    Hours per week
    		4

    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 No
    Mobility No
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    18.02.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    25.02.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    03.03.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    10.03.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    17.03.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    24.03.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    31.03.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    07.04.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    21.04.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    28.04.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    05.05.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    12.05.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    19.05.2020 13:15 - 17:00 Cours PER 07, Room 2.312
    26.05.2020 13:15 - 17:00 Cours PER 07, Room 2.312
  • Assessments methods

    Oral exam - SP-2020, Session d'été 2020

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

    Oral exam - SP-2020, Autumn Session 2020

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Advanced courses in Mathematics (Bachelor level)
    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2022_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)
    Additional Programme Requirements to the MSc in Mathematics [MA]
    Version: 2022_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)
    Mathematics 120
    Version: 2022_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 on)
    Mathematics 60 (MATH 60)
    Version: 2022_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)
    Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
    Version: 2022_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)