MATH 480, 2019: Introduction to Fractals

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Meetings

  • Orgnizational meeting: Thursday, December 10, 10am, Burnside 1220.
  • Tuesday: 9:30-10:30, Burnside 1120.
  • Thursday: 9:00-10:00, Burnside 1234.
  • There will be NO lecture on February 28.
    • Course web page: http://www.math.mcgill.ca/jakobson/courses/math480-19-fractals.html
    Instructor: D. Jakobson
    Office: BH1220
    Office Hours: TBA
    Tel: 398-3828
    E-mail: dmitry.jakobson AT mcgill.ca
    Web Page: www.math.mcgill.ca/jakobson

    Texts

  • K. Falconer. Fractal Geometry: Mathematical Foundations and Applications.
  • R. Devaney. A first course in Chaotic Dynamical systems.
  • (recommended) R. Devaney. Introduction to Chaotic Dynamical Systems.

    • Outline

    The course will cover selected chapters from the book "Fractal Geometry: Mathematical Foundations and Applications" by K. Falconer, as well as from the book "A first course in Chaotic Dynamical Systems" by R. Devaney. Additional material may be considered as time permits.

    Grading

  • Class lectures and a short report.

    • Topics for the talks

  • In the talk you should discuss a particular problem or a set of problems in combinatorics or graph theory. You should present the main ideas; it is not necessary to present all the technical details, but you should be prepared to answer questions about the results you present.

    • Web Links

  • A. Teplyaev: An Introduction to analysis on fractals
  • R. Strichartz: Analysis on Fractals, Notices of the AMS, 1999. Please, log on from a McGill computer, or use VPN to get access.
  • K. Okoudjou, L. Rogers and R. Strichartz: Szego limit theorems on the Sierpinski gasket, J. Fourier Anal. Appl., 16 (2010), no. 3, 434-447.
    • HELPDESK and their email: helpdesk@math.mcgill.ca
    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 web page on Academic Integrity for more information).
    NOTICE: In accord with McGill University's Charter of Student Rights, students in this course have the right to submit in English or in French any work that is to be graded.
    NOTICE: In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change