- Emmanuel Breuillard

Approximate lattices and quasi-crystals

Thursday 17th June 2021, 2:00 pm – 3:00 pm

Online, Zoom

### Past Seminars:

- Lawrence Lee

L^q-spectra of measures on non-conformal attractors

Thursday 6th May 2021 - Surabhi Desai

Dynamical Borel-Cantelli lemmas of intermittent maps

Thursday 29th April 2021 - Tal Horesh

Distribution of primitive lattices and their flags

Thursday 22nd April 2021 - Jens Marklof

The three gap theorem in higher dimensions

Thursday 25th March 2021 - Godofredo Iommi

The Halász-Székely Barycenter

Thursday 18th March 2021 - Krystal Taylor *unusual time*

Quantifications of the Besicovitch Projection theorem in a nonlinear setting

Thursday 11th March 2021 - Zemer Kosloff

Factors of non-stationary Bernoulli shifts

Thursday 4th March 2021 - Asaf Katz

Measure rigidity of Anosov flows via the factorization method

Thursday 25th February 2021 - Sascha Troscheit

A dimension theory approach to embeddings in random geometry.

Thursday 18th February 2021 - Baowei Wang

Intrinsic Diophantine approximation on triadic Cantor set: the divergence theory

Thursday 4th February 2021 - Charlene Kalle

Critical intermittency in random dynamical systems

Thursday 10th December 2020 - Antti Käenmäki

Super-exponential condensation without exact overlaps

Thursday 3rd December 2020 - Tushar Das

New results in the dimension theory of continued fraction Cantor sets

Thursday 26th November 2020 - Bassam Fayad

Multilple Borel Cantelli lemma and applications

Thursday 26th November 2020 - Kornelia Hera *unusual time*

Hausdorff dimension of unions of affine subspaces and related problems

Thursday 19th November 2020 - Osama Khalil *unusual time*

Random Walks, Spectral Gaps, and Khinchine Theorem on Fractals

Thursday 12th November 2020 - Wenyu Pan

Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps

Thursday 5th November 2020 - Nguyen-Thi Dang

Topological mixing of the Weyl Chamber flow

Thursday 29th October 2020 - Reem Yassawi *unusual time*

Tame or wild Toeplitz shifts

Thursday 22nd October 2020 - Polina Vytnova

Hausdorff dimension estimates: going beyond periodic points

Thursday 22nd October 2020 - Matthew Welsh

Pair correlation for roots of quadratic congruences

Thursday 8th October 2020 - Henna Koivusalo

Path-dependent, shrinking, moving targets and beyond, on generic self-affine sets

Thursday 1st October 2020 - Felipe Perez

Limit laws for intermittent sequential and random dynamical systems

Thursday 18th June 2020 - Tom Kempton

Measures on distances between polynomials.

Thursday 11th June 2020 - Victor Beresnevich

Badly approximable points: games, measures and dynamics

Thursday 28th May 2020 - Joel Moreira

Multiple recurrence for polynomial and non-polynomial sequences

Thursday 21st May 2020 - Pablo Shmerkin

Covering the Sierpinski carpet by tubes

Thursday 14th May 2020 - Tanja Schindler

Multifractal analysis of the Thue--Morse measure

Thursday 7th May 2020 - Alexia Yavicoli

On the dimension of sets that avoid approximate arithmetic progressions

Thursday 23rd April 2020 - Erik Contreras

K-rational approximations in k-Luroth expansions

Thursday 16th April 2020 - Erik Contreras (Seminar cancelled)

Thursday 26th March 2020 - Felipe Perez (seminar cancelled)

Thursday 19th March 2020 - Charles Walkden

Stability Index and Weierstrass Functions

Thursday 12th March 2020 - Reynold Fregoli

Bounded Exponential Sums

Thursday 5th March 2020 - Istvan Kolossvary

Typical self-similar and self-conformal attractors on the line

Thursday 27th February 2020 - Liviana Palmisano

Attractors and their stability.

Thursday 6th February 2020 - Connor Stevens

Fourier Transforms of nonlinear Markov map invariant measures

Thursday 30th January 2020 - Julia Slipantschuk

Pollicott-Ruelle resonances for analytic expanding and hyperbolic maps

Thursday 19th December 2019 - Jason Levesley

Dirichlet Systems, singular points and extremal sets

Thursday 12th December 2019 - Maik Gröger

Dimension gap, escaping sets and thermodynamic formalism for transient dynamics on the real line

Thursday 5th December 2019 - John Mackay – POSTPONED

Decompositions of hyperbolic groups and conformal dimension

Thursday 28th November 2019 - Tuomas Sahlsten

Obstructions to localisation of functions in both position and momentum at fractals

Thursday 21st November 2019 - Carlangelo Liverani

Quantitive statistical properties for partially hyperbolic system

Thursday 14th November 2019 - Simon Baker

The metric Poissonian property for powers of real numbers

Thursday 7th November 2019 - Selim Ghazouani

Linearisation of smooth interval exchange transformations

Thursday 31st October 2019 - Jonathan Fraser

Kleinian groups, parabolic points, and dimension

Thursday 24th October 2019 - Gwyneth Stallard

Wandering domains in complex dynamics

Thursday 17th October 2019 - Natalia Jurga

Effective estimates on the top Lyapunov exponent of random matrix products

Thursday 10th October 2019 - Thomas Jordan

Dimension of ergodic measures projected onto self-similar sets

Thursday 3rd October 2019 - Douglas Coates

Semistable laws for wobbly intermittent maps

Thursday 13th June 2019 - Ariel Rapaport

Dimension of planar self-affine measures

Thursday 6th June 2019 - Neil Dobbs

Knobbly but nice

Thursday 30th May 2019 - Ian Morris

A dimension gap between self-affine measures and self-affine sets.

Tuesday 28th May 2019 - Ana Rodrigues

Recent advances on fair measures and fair entropy

Thursday 23rd May 2019 - Kevin Hughes

Towards quantitative equidistribution theorems in harmonic analysis

Thursday 16th May 2019 - Detta Dickinson

*CANCELLED* The distribution of algebraic conjugate points in small boxes

Thursday 16th May 2019 - Ofer Shwartz

Cancelled

Thursday 9th May 2019 - Catherine Bruce

Projections of Gibbs measures on self-conformal sets

Thursday 2nd May 2019 - Xin Zhang

Fine scale statistics of fractal sets

Thursday 4th April 2019 - Çağrı Sert

The joint spectrum

Thursday 21st March 2019 - Balázs Bárány

Hausdorff dimension of self-similar measures with complicated overlaps

Thursday 21st March 2019 - Ian Morris

*Cancelled* A dimension gap between self-affine measures and self-affine sets.

Thursday 14th March 2019 - Italo Cipriano

Time change for flows

Thursday 28th February 2019 - Yuri Lima

Markov partitions for billiards

Thursday 21st February 2019 - Pedro Peres

Existence of non-trivial embeddings of Interval Exchange Transformations into Piecewise Isometries

Thursday 7th February 2019 - Demi Allen

Approximation on the Cantor set and some of its inhomogeneous friends

Thursday 31st January 2019 - Federica Fanoni

Curve graphs for infinite-type surfaces

Thursday 20th December 2018 - George Kenison

Skolem's problem and prime powers

Thursday 13th December 2018 - Stephen Cantrell

Comparing word length with displacement for actions on CAT(-1) spaces

Thursday 6th December 2018 - Leticia Pardo Simon

Escaping dynamics of a class of transcendental functions

Thursday 29th November 2018 - Yotam Smilansky

Multiscale substitution schemes and Kakutani sequences of partitions

Thursday 22nd November 2018 - Richard Sharp

Representations of surface groups, zeta functions and counting

Thursday 15th November 2018 - Felipe Perez

Dimension of measures with infinite entropy

Thursday 25th October 2018 - Chris Lutsko

Directions in Orbits of Discrete Hyperbolic Subgroups

Thursday 18th October 2018 - Pablo Shmerkin

Some new results and some open questions about the middle-thirds Cantor set

Thursday 11th October 2018 - Rhiannon Dougall

Critical exponents for normal subgroups via a twisted Bowen-Margulis current

Thursday 4th October 2018 - Danijela Damjanovic

Global rigidity for Anosov actions

Thursday 7th June 2018 - Michael Magee

Thermodynamical approach to the Markoff-Hurwitz equation

Thursday 24th May 2018 - Yiannis Konstantoulas

Symplectic geometry of numbers

Thursday 17th May 2018 - David Simmons

Title: Dimension gaps in self-affine sponges

Thursday 10th May 2018 - Gabriele Mondello

On some properties of spherical surfaces with conical singularities and their moduli spaces

Thursday 3rd May 2018 - Kathryn Spalding

Growth of values of binary quadratic forms and Conway rivers

Thursday 26th April 2018 - Livio Flaminio

Nil-sequences, multiplicative functions and asymptotic orthogonal powers

Thursday 19th April 2018 - Gabriel Paternain

Carleman estimates for geodesic X-ray transforms.

Thursday 22nd March 2018 - Alex Gorodnik

Discrepancy in Geometry of Numbers and Dynamics

Thursday 15th March 2018 - Irene Pasquinelli

Deligne-Mostow lattices and cone metrics on the sphere

Thursday 8th March 2018 - Ofir David

Equidistribution of divergent orbits in the space of lattices

Thursday 1st March 2018 - Christopher Leininger

Dynamics of splittings of free-by-cyclic groups

Thursday 22nd February 2018 - Henna Koivusalo

Cut and project sets, linear repetition of patterns, and the Littlewood conjecture

Thursday 15th February 2018 - Giovanni Forni

On Mixing rates for time-changes of Heisenberg Nilflows

Monday 8th January 2018 - Oliver Sargent

Random walks on homogeneous spaces of non-lattice type

Thursday 14th December 2017 - Mariusz Lemanczyk

Moebius orthogonality in dynamics

Thursday 30th November 2017 - Vladimir Finkelshtein

Diophantine approximation problems for groups of toral automorphisms.

Thursday 23rd November 2017 - Michael Bromberg

Temporal distributional limit theorem for cocycles over rotations

Thursday 16th November 2017 - George Kenison

Statistics in conjugacy classes in free groups

Thursday 9th November 2017 - Natalia Jurga

Dimension of Bernoulli measures for non-linear countable Markov maps

Thursday 2nd November 2017 - Mike Todd

Phase transitions and limit laws

Thursday 26th October 2017 - Kevin Hughes

Towards an ergodic Hasse principle

Thursday 19th October 2017 - Kieran Jarrett

Non-singular ergodic theorems for countable group actions

Thursday 12th October 2017 - Dalia Terhesiu

Some new statistical properties of piecewise linear Fibonacci maps

Thursday 5th October 2017 - Chris Lutsko

Thursday 30th March 2017