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General


Semester

Autumn 2011 (Monday, October 10 to Friday, December 16)

Timetable
  • Tue 09:05 - 09:55

Lecturer


Charles Walkden
Email charles.walkden@manchester.ac.uk
Phone (0161) 2755805
vcard


Students


Photo of Abeer AL-NAHDI
Abeer AL-NAHDI
(Leeds)
Photo of Nada Alhabib
Nada Alhabib
(Liverpool)
Photo of Anthony Chiu
Anthony Chiu
(Manchester)
Photo of Zhen Cui
Zhen Cui
(Exeter)
Photo of Clare Hobbs
Clare Hobbs
(Exeter)
Photo of Fiachra Knox
Fiachra Knox
(Birmingham)
Photo of Youssef Lazar
Youssef Lazar
(East Anglia)
Photo of Poj Lertchoosakul
Poj Lertchoosakul
(Liverpool)
Photo of Laura Phillips
Laura Phillips
(Manchester)
Photo of Stefanie Zegowitz
Stefanie Zegowitz
(East Anglia)
Photo of Lu  Zhang
Lu Zhang
(Loughborough)


Prerequisites


No prerequisites information is available yet.

Syllabus


  • Lecture 1: Examples of dynamical systems
  • Lecture 2: Uniform distribution mod 1
  • Lecture 3: Invariant measures and measure-preserving transformations
  • Lecture 4: Ergodicity and mixing
  • Lecture 5: Recurrence. Birkhoff's Ergodic Theorem
  • Lecture 6: Topological dynamics
  • Lecture 7: Entropy, information, and the isomorphism problem
  • Lecture 8: Thermodynamic formalism
  • Lecture 9: Applications of thermodynamic formalism: (i) Bowen's formula for Hausdorff dimension, (ii) central limit theorems.
  • Lecture 10: The geodesic flow on compact surfaces of constant negative curvature

Bibliography


No bibliography has been specified for this course.

Assessment


No assessment information is available yet.

Assignments


Take-home test for MAGIC010

Files:Exam paper
Deadline: Friday 20 January 2012 (914.2 days ago)
Instructions:Answer any 4 of the 7 questions. Each question is worth 25 marks.