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Programme for Academic Year 2021-22

A series of seminars 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 Lecture Theatre C. Week 9's talk will take place in Room 3B, and talks from Week 13 onwards (week beginning 18th April) will take place in Room 1A.

Candlemas Semester (Spring 2022):

• Tuesday 25th January 2022
  Kenneth Falconer: Dimensions of images under stochastic processes


• Tuesday 1st February 2022
  Collin Bleak: 3/2's generation and spread for R. Thompson's group T.


• Tuesday 8th February 2022
  Alex Rutar: Attainable forms of intermediate dimensions


• Tuesday 15th February 2022
  Jonathan Fraser: Fourier dimensions and Kakeya type problems


• Tuesday 1st March 2022
  Lars Olsen: The Baire Hierarchy, multifractal decomposition sets and Π_γ⁰-completeness


• Tuesday 8th March 2022
  No seminar.


• Tuesday 15th March 2022
  Raquel Couto: Piling processes for some 2-dimensional expanding systems


• Tuesday 22nd March 2022
  Jerome Rousseau: Shortest distance between random orbits and correlation dimension


• Tuesday 29th March 2022
  No seminar.


• Tuesday 5th April 2022
  No seminar.


• Tuesday 19th April 2022
  Boyuan Zhao: Shortest distance between and within orbits


• Tuesday 26th April 2022
  Istvan Kolossvary: The Assouad dimension of self-affine measures on sponges


• Tuesday 3rd May 2022
  Amlan Banaji: Assouad spectrum of infinitely generated self-conformal sets


• Tuesday 21st June 2022
  Jeremy Tyson: Quasiconformal distortion of Assouad-type dimensions


• Tuesday 9th August 2022
  Joris Roos: Spherical maximal functions and fractal dimensions of dilation sets

Previous Schedule

Martinmas Semester (Autumn 2021):

• Tuesday 21st September 2021
  Sascha Troscheit: Studying random metric spaces with dimension theory   (Video)


• Tuesday 28th September 2021
  Jonathan Fraser: Dimensions of Kleinian orbital sets   (Video)


• Tuesday 5th October 2021
  Mike Todd: Point processes in extreme dynamics   (Video)


• Tuesday 12th October 2021
  Amlan Banaji: Intermediate dimensions of Bedford-McMullen carpets   (Video)


• Tuesday 19th October 2021
  Han Yu: Non-Salem sets in metric Diophantine approximation


• Tuesday 26th October 2021
  Istvan Kolossvary: On the convergence rate of the chaos game


• Tuesday 2nd November 2021
  Lars Olsen: Multifractal tube formulas


• Tuesday 9th November 2021
  Mark Holland: Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes


• Tuesday 16th November 2021
  Liam Stuart: Refined horoball counting for Kleinian group actions


• Tuesday 23rd November 2021
  Natalia Jurga: Cover times for dynamical systems

Candlemas Semester (Spring 2021):

• Tuesday 2nd February 2021
  Collin Bleak: Context Sensitive Markov Chains with an application towards genetics


• Tuesday 9th February 2021
  Istvan Kolossvary: Calculating box dimension with the method of types   (Video)


• Tuesday 16th February 2021
  Mike Todd: Pressure on non-compact spaces   (Video)


• Tuesday 23rd February 2021
  Richárd Balka: The range of dimensions of microsets   (Video)


• Tuesday 2nd March 2021
  Chris Bishop: Random thoughts on random sets   (Video)


• Tuesday 9th March 2021
  Jim Belk: Quasisymmetries of finitely ramified Julia sets   (Video)


• Tuesday 16th March 2021
  Raquel Couto: Clustering patterns of rare events   (Video)


• Tuesday 6th April 2021
  Kenneth Falconer: Strong Marstrand theorems, duality and line sets   (Video)


• Tuesday 13th April 2021
  Jian-Ci Xiao: Connected components of fractal squares   (Video)


• Tuesday 20th April 2021
  Amlan Banaji: Dimensions of infinitely generated attractors   (Video)


• Tuesday 27th April 2021
  Jeremy Tyson: Distortion of dimension by Sobolev and quasiconformal maps   (Video)

Martinmas Semester (Autumn 2020):

• Tuesday 22nd September 2020
  Jonathan Fraser: A nonlinear projection theorem for Assouad dimension and the distance set problem   (Video)


• Tuesday 29th September 2020
  Mike Todd: Clustering of extreme events   (Video)


• Tuesday 6th October 2020
  Liam Stuart: The Sullivan dictionary from the perspective of dimension theory   (Video)


• Tuesday 13th October 2020
  Henna Koivusalo: Linear repetition in polytopal cut and project sets   (Video)


• Tuesday 27th October 2020
  Alex Rutar: Multifractal formalism for self-similar measures with exact overlaps   (Video)


• Tuesday 3rd November 2020
  Stuart Burrell: Brownian tumbleweed, dimension and the elliptical spiral mapping problem   (Video)


• Tuesday 10th November 2020
  Tushar Das: A tale of two variational principles   (Video)


• Tuesday 17th November 2020
  Natalia Jurga: Box dimension of (×m, ×n) invariant sets   (Video)


• Tuesday 24th November 2020
  Lawrence Lee: Ledrappier-Young formulae for a family of nonlinear attractors   (Video)


• Tuesday 1st December 2020
  Alexia Yavicoli: The density of sets containing large similar copies of finite sets   (Video)

Online Seminars (Summer 2020):

• Tuesday 26th May 2020
  Natalia Jurga: Hausdorff dimension of self-projective sets   (Video)


• Tuesday 16th June 2020
  Thomas Jordan: Dimension of projections of ergodic measures onto self-similar sets   (Video)


• Tuesday 23rd June 2020
  Feyisayo Olukoya: The group of automorphisms of the shift dynamical system and the Higman-Thompson groups   (Video)


• Tuesday 30th June 2020
  Amlan Banaji: New intermediate dimensions


• Tuesday 7th July 2020
  Felipe Ramírez: Remarks about inhomogeneous pair correlations   (Video)


• Tuesday 14th July 2020
  Balázs Bárány: On the multifractal spectrum of weighted Birkhoff averages   (Video)


• Tuesday 21st July 2020
  Clarence Chen: Dimensions of the popcorn graph   (Video)


• Tuesday 28th July 2020
  No seminar.


• Tuesday 4th August 2020
  Nayab Khalid: The rotation distance between two binary rooted trees   (Video)


• Tuesday 11th August 2020
  Istvan Kolossvary: Intermediate dimensions of Bedford-McMullen carpets   (Video)


• Tuesday 18th August 2020
  No seminar.


• Tuesday 25th August 2020
  Junda Zhang: The Derrida-Retaux System: Critical value and infinite transition order   (Video)


• Tuesday 1st September 2020
  No seminar.

Candlemas Semester (Spring 2020):

• Tuesday 4th February 2020
  Catherine Bruce: Using Furstenberg's CP-chain method to prove strong projection theorems


• Tuesday 11th February 2020
  Jonathan Fraser: Fun with fractals, Fourier transforms, and fractional Brownian motion


• Tuesday 18th February 2020
  Lawrence Lee: L^q-spectra of measures on non-conformal attractors


• Tuesday 25th February 2020
  Liam Stuart: The Assouad spectrum of Kleinian limit sets


• Tuesday 3rd March 2020
  Mike Todd: How close do orbits get?


• Tuesday 10th March 2020
  Lars Olsen: Distribution of digits in integers

Martinmas Semester (Autumn 2019):

• Tuesday 24th September 2019
  Jonathan Fraser: The Assouad dimensions of projections of planar sets


• Tuesday 1st October 2019
  Abel Farkas: Geometric measure theory of the Brownian path


• Tuesday 8th October 2019
  Mike Todd: When entropy escapes


• Tuesday 15th October 2019
  Collin Bleak: Some free actions for one-sided shift spaces


• Tuesday 29th October 2019
  Pablo Shmerkin: Regular sets and measures and regularization


• Tuesday 5th November 2019
  Istvan Kolossvary: Counting intersections in transversally overlapping self-affine planar carpets


• Tuesday 12th November 2019
  Alexia Yavicoli: On the dimension of sets that avoid approximate arithmetic progressions


• Tuesday 19th November 2019
  Kenneth Falconer: Symmetry, enumeration and topology of self-similar fractals


• Monday 25th November 2019
  Sam Colvin: Minimising Hausdorff Dimension under Hölder Equivalence


• Tuesday 26th November 2019
  Stuart Burrell: Projections, Capacities and Intermediate Dimensions

Candelmas Semester (Spring 2019):

• Tuesday 5th February 2019
  Silouanos Brazitikos: Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies


• Tuesday 12th February 2019
  Collin Bleak: Separating groups through applying dynamical ideas


• Tuesday 19th February 2019
  Mike Todd: Continuity of entropy in non-compact systems


• Tuesday 26th February 2019
  Han Yu: Multi-rotations on the circle and some related problems


• Tuesday 5th March 2019
  Julio Aroca Lobato: The conjugacy problem for a family of Thompson-like groups


• Tuesday 12th March 2019
  Stuart Burrell: TBD


• Tuesday 2nd April 2019
  Kenneth Falconer: Box dimensions of projections and exceptional directions


• Tuesday 9th April 2019
  Jonathan Fraser: The winding problem


• Tuesday 16th April 2019
  Sascha Troscheit: Lower Regularity of Measures


• Tuesday 23rd April 2019
  David Beltran: Regularity of maximal functions


• Tuesday 30th April 2019
  Douglas Howroyd: Are pusforwards of doubling measures onto graphs of Brownian motion also doubling?


• Tuesday 7th May 2019
  Rob Fraser: Large Sets Avoiding Algebraic Polynomial Configurations


• Tuesday 7th May 2019
  John Mackay: Boundaries of relatively hyperbolic groups


• Wednesday 19th June 2019
  Antti Käenmäki: Assouad dimension of planar self-affine sets

Martinmas Semester (Autumn 2018):

• Tuesday 25th September 2018
  Sascha Troscheit: Galton-Watson trees: Big, small, and sometimes continuous.


• Tuesday 2nd October 2018
  Fractal Geometry and Stochastics Conference


• Tuesday 9th October 2018
  Stuart Burrell: Dimension drop and inhomogeneous self-affine sets


• Tuesday 16th October 2018
  Yiftach Dayan: Diophantine approximations on random fractals.


• Monday 22nd October 2018
  Alexia Yavicoli: Patterns in fractal sets.


• Tuesday 23rd October 2018
  Pablo Shmerkin: Some new results and some open problems about the middle-thirds Cantor set.


• Tuesday 30th October 2018
  Keith Rogers: The polynomial Wolff axioms and applications.


• Tuesday 6th November 2018
  Lawrence Lee: L^q-spectra of self-affine measures: closed forms, counterexamples, and split binomial sums.


• Tuesday 13th November 2018
  Jonathan Hickman: High dimensional Kakeya maximal estimates via polynomial partitioning.


• Tuesday 20th November 2018
  Jim Belk: A geometric solution to the twisted rabbit problem


• Tuesday 27th November 2018
  Han Yu: Incompatibility of geometric and arithmetic sequences


• Tuesday 4th December 2018
  Collin Bleak:

Candelmas Semester (Spring 2018):

• Tuesday 6th February 2018
  Jonathan Fraser: Limit sets of Kleinian groups and dimension.


• Tuesday 13th February 2018
  Han Yu: On Ka-problems and some variants.


• Tuesday 20th February 2018
  Collin Bleak: Prefix exchanges, the CoCF property, and topological conjugation.


• Tuesday 27th February 2018
  Douglas Howroyd: Distance Sets: Subtraction is essentially addition.


• Tuesday 6th March 2018
  Problem Session


• Tuesday 13th March 2018
  Lars Olsen: Average distances in graph-directed constructions.


• Tuesday 3rd April 2018
  Kenneth Falconer: Strong Marstrand theorems and properties of line sets.


• Tuesday 10th April 2018
  Nayab Khalid: A Presentation for Thompson's Group F.


• Tuesday 17th April 2018
  Mike Todd: Statistical stability: how to prove it?


• Tuesday 24th April 2018
  Stuart Burrell: Dimension and measure for inhomogeneous attractors


• Tuesday 1st May 2018
  Lawrence Lee: Closed form expressions for L^q spectra


• Wednesday 16th May 2018
  Antti Käenmäki: Dimension drop conjecture for self-conformal sets

Martinmas Semester (Autumn 2017):

• Tuesday 17th September 2017
  Hiroki Takahashi: Lyapunov optimization for non-generic one-dimensional expanding Markov maps.


• Tuesday 3rd October 2017
  Jonathan Fraser: (Almost) arithmetic progressions and dimension.


• Tuesday 10th October 2017
  Lawrence Lee: Diophantine approximation on manifolds and lower bounds for Hausdorff dimension.


• Tuesday 17th October 2017
  Han Yu: Fourier series and extra conditions of Duffin-Schaeffer conjecture.


• Tuesday 24th October 2017
  Douglas Howroyd: Some dimension results on iterated sumsets.


• Tuesday 31st October 2017
  Mike Todd: Phase transitions and limit laws.


• Tuesday 7th November 2017
  Andrew Mitchell and Tasos Stylianou: Fractal measures of typical compact metric spaces.


• Tuesday 14th November 2017
  Christian Berg: On moment problems - Historical origins, significance and recent developments.


• Tuesday 21st November 2017
  Lars Olsen: The Borel Hierarchy, multifractal decomposition sets and Pi_γ⁰-completeness.


• Tuesday 28th November 2017
  Shayo Olukoya:


• Tuesday 5th December 2017
  Collin Bleak: Rational boundary actions of hyperbolic groups.

Candelmas Semester (Spring 2017):

• Tuesday 31st January 2017
  Lars Olsen: Box dimensions of typical compact sets.


• Tuesday 7th February 2017
  Collin Bleak: On finite generation for groups of homeomorphisms of Cantor spaces.


• Tuesday 14th February 2017
  Mike Todd: Continuity of entropy


• Tuesday 21st February 2017
  Jonathan Fraser: Inhomogeneous attractors: structure and dimension.


• Tuesday 28th February 2017
  Sascha Troscheit: Hausdorff measure, gauge functions, and random sets.


• Tuesday 7th March 2017
  Han Yu: Assouad dimension and Homogeneity of graphs of functions.


• Tuesday 14th and 21st March 2017
  Spring Vacation


• Tuesday 28th March 2017
  Kenneth Falconer: Self-affine sets - old and new.


• Tuesday 4th April 2017
  Chandrasekhar Venkataraman: Free boundaries on cell boundaries: asymptotic limits of a model for receptor-ligand dynamics.


• Tuesday 11th April 2017
  Nayab Khalid: Dynamical Properties of Connected Rearrangement Groups.


• Tuesday 18th April 2017
  Douglas Howroyd: The upper regularity dimension of measures.


• Tuesday 25th April 2017
  Abel Farkas: Conditional measure on random sets such as Brownian path and convergence of random measures.

Martinmas Semester (Autumn 2016):

• Tuesday 20th September 2016
  Collin Bleak: On combinatorial conditions determining isomorphism class for finitely generated subgroups of Homeo_+(I): Advanced Ping-Pong dynamics.


• Tuesday 27th September 2016
  Douglas Howroyd: Assouad type dimensions of self-affine sponges.


• Tuesday 4th October 2016
  Kenneth Falconer: Stable, Multistable, and Self-stabilising processes.


• Tuesday 11th October 2016
  Mike Todd: Hitting, escaping and mixing.


• Tuesday 18th October 2016
  Independent Learning Week


• Tuesday 25th October 2016
  Surabhi Desai: Snaking in Systems with Non-Orientable Manifolds.


• Tuesday 1st November 2016
  Jonathan Fraser: The Assouad spectrum: scaling and homogeneity in metric spaces (part 1).


• Tuesday 8th November 2016
  Han Yu: The Assouad spectrum: scaling and homogeneity in metric spaces (part 2).


• Tuesday 15th November 2016
  Bea Adam-Day and Nic Pinzani: On the average box dimension of the graph of a typical continuous function.


• Tuesday 22nd November 2016
  Lars Olsen: The Borel hierarchy, multifractal decomposition sets and Pi_{gamma}^0-completeness.

Candlemas Semester (Spring 2016):

• Tuesday 2nd February 2016
  Casey Donoven: Multifractals and Heartbeats


• Tuesday 23rd February 2016
  Problem Session


• Tuesday 8th March 2016
  Bea Adam-Day: \(Pi_{0}^{1}\) completeness


• Tuesday 29th March 2016
  Casey Donoven: Invariant relations and edge replacement systems


• Tuesday 5th April 2016
  Kenneth Falconer: Some problems in plane geometry involving measures and combinatorics


• Tuesday 12th April 2016
  Sascha Troscheit: One Dimensional Geometry of Multiplicative Cascades


• Tuesday 12th April 2016
  Nayab Khalid: The Grigorchuk Group - An Introduction

Martinmas Semester (Autumn 2015):

• Tuesday 22nd September 2015
  No Seminar


• Tuesday 29th September 2015
  Problem Session


• Tuesday 6th October 2015
  Mike Todd: Continuity of measures


• Tuesday 13th October 2015
  Problem Session


• Tuesday 20th October 2015
  Lars Olsen: Asymptotic behaviour of moments and local dimensions of measures


• Tuesday 27th October 2015
  Kenneth Falconer: Some geometric properties of Liouville quantum gravity


• Tuesday 3rd November 2015
  Sascha Troscheit: Box-counting dimension of random self-affine carpets.


• Tuesday 10th November 2015
  Tom Kempton: Projections of self-affine sets.


• Tuesday 17th November 2015
  Casey Donoven: Invariant Quotients of the Cantor Space.


• Tuesday 24th November 2015
  Collin Bleak: On C* simplicity of group algebras, and normalish subgroups of R. Thompson's groups F and T.


• Tuesday 1st December 2015
  Mike Todd: Quantifying inhomogeneity in fractal sets


• Tuesday 8th December 2015
  Vuksan Mijovic: Dynamical Zeta Functions

Candlemas Semester (Spring 2015):

• Tuesday 3rd February 2015
  Lars Olsen: Average distances on fractals and average moments


• Tuesday 10th February 2015
  Collin Bleak: On the derivatives of a class of automorphisms


• Tuesday 17th February 2015
  Problem Session: Problem list to be given at a later date.


• Tuesday 24th February 2015
  Casey Donoven: Topological study of fractal structure


• Tuesday 3rd March 2015
  Sascha Troscheit: Random graph directed systems and box-like carpets


• Tuesday 10th March 2015
  Mike Todd: Recurrence in random dynamical systems


• Tuesday 17th and 24th March 2015
  No Seminars


• Tuesday 31th March 2015
  Tom Kempton


• Tuesday 7th April 2015
  Jasmina Angelevska: Weak separation property for self-conformal systems


• Tuesday 14nd April 2015
  Yongxin Gui


• Tuesday 21nd April 2015
  Vuksan Mijovic: Use of Martingale decomposition to prove statistical properties of dynamical system

Martinmas Semester (Autumn 2014):

• Tuesday 23rd September 2014
  Collin Bleak: On infinite descent in groups of PL homeomorphisms


• Tuesday 31st September 2014
  Problem Session


• Tuesday 7th October 2014
  Mike Todd: Dynamical systems with holes: slow mixing cases


• Tuesday 14th October 2014
  Sascha Troscheit: Assouad dimension of random fractals


• Tuesday 21st October 2014
  Tom Kempton: Towards the conjecture 'Box dimension exists for self-affine sets'


• Tuesday 28th October 2014
  Gavin Abernethy: Normal numbers


• Tuesday 4th November 2014
  Lars Olsen: Tubes, Zeta functions and Fractal/Multifractal geometry


• Tuesday 11th November 2014
  Kenneth Falconer: Self-similar Fractals: Sections, Projections and Percolation


• Tuesday 18th November 2014
  Casey Donoven: Fractal Intersections in Cantor Spaces


• Tuesday 25th November 2014
  Abel Farkas: Down with separation condition

Candlemas Semester (Spring 2014):

• Tuesday 11th February 2014
  Problem Session


• Tuesday 18th February 2014
  Mike Todd: Mixing in Dynamical Systems


• Tuesday 25th February 2014
  Vuksan Mijovic


• Tuesday 4th March 2014
  Casey Donoven: Intersections within Cantor Spaces


• Tuesday 11th March 2014
  Jonathan Fraser: The Assouad dimension of self-similar sets with overlaps


• Tuesday 18th and 25th March 2014
  No Seminars


• Tuesday 1st April 2014
  Kathryn E Hare: Energy and the Fourier Transform


• Tuesday 8th April 2014
  Kenneth Falconer: Symmetry and Enumeration of Self-similar Fractals


• Tuesday 15th April 2014
  Lars Olsen: Distribution of digits in integers


• Tuesday 22nd April 2014
  Collin Bleak: On Kesten-type conditions for computing the ideal structure in C* algebras

Martinmas Semester (Autumn 2013):

• Tuesday 24th September 2013
  Casey Donoven: Groups of homeomorphisms of Cantor sets


• Tuesday 1st October 2013
  No Seminar


• Tuesday 8th October 2013
  Jim Belk: Thompson-Like Groups Acting on Julia Sets


• Tuesday 15th October 2013
  Mike Todd: Teichmüller flow on the space of translation surfaces: towards statistical properties


• Tuesday 22nd October 2013
  Kathryn E Hare: Local dimensions of convolutions of measures


• Tuesday 29th October 2013
  Kenneth Falconer: Some problems in combinatorial measure geometry


• Tuesday 5th November 2013
  Sascha Troscheit: Self-similar and self conformal devil's staircases and dimensions of sets of non-differentiability


• Tuesday 12th November 2013
  Jan-Olav Ronning: Square Roots of the Poisson Kernal- Past and Future


• Tuesday 19th November 2013
  Colin Bleak


• Tuesday 26th November 2013
  Malte Koch: Brownian motion on nested fractals

Other University of St Andrews Mathematics Seminars:

• Mathematics Seminars