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 Room 1A.

- 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**:*TBD* - Tuesday 31st March 2020

**Junda Zhang**:*TBD* - Tuesday 7th April 2020

**Raquel Couto**:*TBD* - Monday 14th April 2020

**Clarence Chen**:*TBD* - Tuesday 21st April 2020

**Natalia Jurga**:*TBD* - Tuesday 28th April 2020

**Amlan Banaji**:*TBD*

- 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*

- 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*

- 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**:

- 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*

- 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*_{γ}^{0}-completeness. - Tuesday 28th November 2017

**Shayo Olukoya**: - Tuesday 5th December 2017

**Collin Bleak**:*Rational boundary actions of hyperbolic groups.*

- 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.*

- 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.*

- 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*

- 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

- 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*

- 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*

- 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*

- 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**: Teichm�ller 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