Analysis Research Group

Programme for Academic Year 2011-12

A series of lectures for postgraduates, final year undergraduates and anyone else who is interested, to provide background in Analysis, with an emphasis on the research interests of the Group, takes place on Tuesday afternoons at 15:00 in Room 1A.


Candlemas Semester (Spring 2012):


  • Tuesday 14th February 2012
    Lars Olsen: Higher order local dimensions and Baire category. Abstract.

  • Tuesday 21st February 2012
    Kenneth Falconer: Images of sets and measures under fractional Brownian motion. Abstract.

  • Tuesday 28th February 2012
    Xiong Jin: Random Beltrami equation and distortion. Abstract.

  • Tuesday 6th March 2012
    Jonathan Fraser: Dimension and measure for typical random fractals. Abstract.

  • Tuesday 13th March 2012
    Ábel Farkas: Projections of Weird Sets - Self-Similar Case. Abstract.

  • Tuesday 20th March 2012
    Problem Session: Bring along your favourite problems and questions!

    Break for reading week.

  • Tuesday 10th April 2012
    Reading group on basic Teichmüller theory: Part 1

  • Tuesday 24th April 2012
    Reading group on basic Teichmüller theory: Part 2

  • Tuesday 1st May 2012
    Problem Session: Bring along your favourite problems and questions!

  • Tuesday 8th May 2012
    Jonathan Fraser: Inhomogeneous self-similar sets and dimensions. Abstract.

Martinmas Semester (Autumn 2011):


  • Tuesday 4th October 2011
    Lars Olsen: Multifractal tube formulas, Part I: Multifractal tubes and multifractal tube measures. Abstract.

  • Tuesday 11th October 2011
    Lars Olsen: Multifractal tube formulas, Part II: Explicit formulas and multifractal zeta-functions.

  • Tuesday 18th October 2011
    Problem Session: Bring along your favourite problems and questions!

  • Tuesday 25th October 2011
    Collin Bleak: Homeomorphisms of the circle, rotation numbers, and measures: definitions and results with general discussion. Abstract.

  • Tuesday 8th November 2011
    Break for reading week.

  • Tuesday 15th November 2011
    Collin Bleak: Homeomorphisms of the circle, rotation numbers, and measures: an amended outline with some new analytical details. Abstract.

  • Tuesday 22nd November 2011
    Jonathan Fraser: Packing dimension for `exceptional' self-affine sets. Abstract.

  • Tuesday 29th November 2011
    Ábel Farkas: Projections of weird sets. Abstract.

  • Tuesday 6th December 2011
    Mike Todd: Statistical stability for interval maps. Abstract.

  • Tuesday 13th December 2011
    Julien Barral: Dynamics of Mandelbrot cascades.

Previous Schedule

Candlemas Semester (Spring 2011):


  • Tuesday 15th February 2011
    Mike Todd: Lyapunov spectra for unimodal maps via inducing.

  • Tuesday 22th February 2011
    Tony Samuel: C*-algebras, Dirac operators and symbolic dynamics.

  • Tuesday 1st March 2011
    Xiong Jin: Dimension results for random cascades.

  • Tuesday 8th March 2011
    Jonathan Fraser: The horizon problem for prevalent surfaces.

  • Tuesday 15th March 2011
    Lars Olsen: Prevalence, Baire category and measures.

  • Tuesday 22nd March 2011
    Richard Sharp (Manchester): Pair correlations and length spectra on negatively curved surfaces.

    Three week break for Easter.

  • Tuesday 3rd May 2011
    Mike Todd: Measuring recurrence in dynamical systems.

  • Tuesday 7th June 2011
    Jonathan Fraser: The Hausdorff dimension of the graph of a prevalent continuous function.

Martinmas Semester (Autumn 2010):


  • Tuesday 12th October 2010
    Lars Olsen: Multifractal spectra of typical measures.

  • Tuesday 19th October 2010
    Jonathan Fraser: Random Self-Affine Multifractal Sierpinski Sponges in R^d.

  • Tuesday 26th October 2010
    James Hyde:

  • Tuesday 2nd November 2010
    Kenneth Falconer: Continuity of the affinity dimension.

  • Tuesday 16th November 2010
    Jonathan Fraser: Choquet-Deny functional equations, non-conformal dimensions and self-affine constructions. Part 1: The fractal case.


Other Mathematics Seminars: