MATH-332 / 5 credits

Teacher: Mountford Thomas

Language: English


Summary

The course follows the text of Norris and the polycopie (which will be distributed chapter by chapter).

Content

Keywords

Stationary distributions.  Irreducibility. Aperiodicity. Communicating classes.  Transcience and recurrance.  Transition matrices.  Operators.

Learning Prerequisites

Required courses

Second year probability.

Learning Outcomes

By the end of the course, the student must be able to:

  • Compute stationary distributions
  • Classify communicating classes
  • Solve hitting probabilities
  • Use the renewal theorem
  • Check irreducibility

Transversal skills

  • Demonstrate the capacity for critical thinking

Teaching methods

Lectures followed by exercise sessions

Assessment methods

The greater part of the note will be determined by the final (written) exam.  There will also be small contribution by a "midterm" exam and by exercises.

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

Resources

Bibliography

Markov Chains by J. Norris is recommended but not obligatory.

Ressources en bibliothèque

Notes/Handbook

Notes will be made available

In the programs

  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Stochastic processes
  • 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     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22