# Ergodic Theory Network: Past Meetings

This is a list of past meetings of the Ergodic Theory Network.

**Queen Mary University of London, 18 January 2023**

*Stationary measures for SL2(R)-actions on homogeneous bundles over flag varieties*

*Hausdorff dimension of the Rauzy gasket*

*Prime periods on the internal*

**Warwick University, 22 November 2023**

*Independent, but not identically distributed coin flips*

3:30pm Tim Austin (Warwick)

*A dynamical proof of the Shmerkin--Wu theorem*

4:45pm Henna Koivusalo (Bristol)

*Shrinking targets on self-affine sets*

**Loughborough University, 13 July 2023**

*Proving a ratio limit theorem for random walks on groups using the variational principle*

*Decay of correlations and statistical limit laws for geodesic flows on nonpositively curved surfaces*

**Loughborough University, 24 May 2023**

*Equilibrium states and MME for Sinai billiard flow*

*Periodic orbits and homology of knot complements*

*Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory*

**Warwick University, 15 February 2023**

*Diophantine approximation in missing digit sets and Fourier \(l^1\) dimension*

*Euclidean algorithms are Gaussian over imaginary quadratic fields*

*Scaling in parabolic dynamics and number theory*

**Queen Mary University of London, 19 January 2023**

*Pointwise Ergodic Theory, Pre-COVID*

*Shrinking targets and recurrence*

*On Good Universality and the Riemann Hypothesis*

**Manchester University, 26 October 2022**

*Infinite Sumsets in sets with positive density*

*Quantum Unique Ergodicity for random bases on Cayley Graphs*

*The Minkowski sum of linear Cantor sets*

**Bristol University, 21 September 2022**

*Measures arising from random substitutions*

*Resonances for rational Anosov maps on the torus*

*Independence inheritance and approximation of systems of linear forms*

**Exeter University, 15 June 2022**

*Dynamical Borel-Cantelli lemmas on general target sets*

*Substitutions over infinite alphabets and unique ergodicity*

*An expanded Sullivan dictionary via dimension interpolation*

**Birmingham University, 25 May 2022**

*Counting Limit Theorems for Anosov Representations*

*Aperiodic tilings: from the Domino problem to an aperiodic monotile*

*Local large deviations, and the infinite horizon Lorentz gas*

**Loughborough University, 16 February 2022**

*Locating Ruelle-Pollicott Resonance*

*A new approach to computing Lyapunov exponents*

*Hyperbolic billiards*

**Online Meeting, 15 September 2021**

*Parameter dependent invariant measures for iterated function systems - dimension and absolute continuity*

*On the convergence rate of the chaos game*

**Online Meeting, 26 May 2021**

*Dyadic approximation in the middle-third Cantor set*

*Expanding measures: Random walks and rigidity on homogeneous spaces*

**Online Meeting, 24 February 2021**

*Lagrange approximation of transfer operators*

*Enriched functional limit theorems for chaotic dynamics and heavy tailed observables*

**Online Meeting, 2 December 2020**

*Stronger ergodic properties for equilibrium states in non-positive curvature*

*Tame or Wild Toeplitz Shifts*

**Online Meeting, 28 October 2020**

*Applications of the asymptotic pois*sonity

*in time and space of visits to small sets*

*Ergodicity of skew-products over linearly recurrent interval exchange transformations*

**Online Meeting, 24 June 2020**

*Iterated function systems with super-exponentially close cylinders*

*Attractors and their stability*

**Online Meeting, 6 May 2020**

*Irrational rotations: Benford's law and beyond*

*Recurrence*

**Queen Mary University of London, 20 November 2019**

*Shifts of finite type as fundamental objects in the theory of shadowing*

*Dimension of Bernoulli convolutions: computer assisted estimates*

*Escape of entropy*

**Birmingham University, 25 June 2019**

*Heteroclinic cycles and networks between relative equilibria on the torus*

*Approximating spaces and dynamical systems with simpler spaces and systems*

*Frequency of zero in signed binary expansions*

*On shadowing property and local dynamics*

**Loughborough University, 17 April 2019**

*Automorphic functions twisted with non-expanding cusp monodromies, and dynamics*

*Mass transference principle: From balls to arbitrary shapes*

*Volume entropy and equidistribution on translation surfaces*

**University of Manchester, 20 March 2019**

*Growth rate of generalized Thue-Morse trigonometric polynomials*

*Regularity of the affinity dimension for iterated function systems with positive matrices*

*Dimension of attractors of nonlinear iterated function systems*

**Queen Mary University of London, 28 November 2018**

*The complexity of the set of codings for self-similar sets*

*On the dynamics of Translated Cone Exchange Transformations*

*Cantor set dynamics from inverse limits of graph covers*

**University of St Andrews, 14 June 2018**

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

*Multifractal analysis for Lyapunov exponents of self-affine iterated function systems*

*A measure of maximal entropy for the finite horizon periodic Lorentz gas*

**University of Warwick, 26 March 2018**

*Random walks on homogeneous spaces and diophantine approximation on fractals*

*Teichmuller dynamics and piecewise affine circle homemorphisms*

*The horocycle flow in Teichmuller dynamics*

**University of Bristol, 25 January 2018**

*Non-autonomous bifurcations in skew-product dynamical systems*

*On the Hausdorff dimension of Bernoulli convolutions*

*Absolute continuity of non-homogeneous self-similar measures*

**Queen Mary University of London, 13 December 2017**

*Local Limit Theorem for Nonstationary Markov Chains*

*The Pressure Function for Infinite Equilibrium Measures*

*Heterogeneously Coupled Maps. Coherent behaviour and reconstructing network from data*

**University of Manchester, 19 June 2017**

*Sparse equidistribution in unipotent flows*

*Foliations by rigidity classes*

*Strange invariant measures in one-dimensional dynamics*

**University of Warwick, 20 April 2017**

*On convex planar billiards, Birkhoff Conjecture and whispering galleries*

*Height functions in complex dynamics*

*On the ergodic theory of group actions on trees*

**University of Loughborough, 20 January 2017**

*Computer aided results in ergodic theory and existence of noise induced order*

*Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces*

*Validated numerics with periodic points: The dimension of $E_2$ to 100 decimal places*

**Queen Mary University of London, 7 December 2016**

*Renormalization of smooth maps of the interval*

*Continuous orbit equivalence*

*Mixing rates and limit theorems for random intermittent maps*

**University of Warwick, 9 June 2016**

*Bounded rational ergodicity for the cylinder map*

*Coupling for piecewise expanding maps*

Potential kernel, hitting probabilities and limit distributions

**University of Bristol, 24 March 2016**

*Unipotent flows on infinite volume hyperbolic manifolds*

*Spherical averages in the space of marked lattices*

*Geodesics on incomplete, negatively curved cusped surfaces*

**University of Leicester, 15 January 2016**

*Arithmetical coding and discrete spectrum for Pisot $\beta$*

*Fractal substitution tilings with applications to noncommutative geometry*

*Continuous motions of limit sets*

**Queen Mary University of London, 21 October 2016**

*A lower bound for the matrix pressure function, and applications*

*Ergodic optimization and prevalence*

*Palindromic and anti-palindromic closures in symbolic dynamics: from the Thue-Morse sequence to Rauzy fractals*

**University of Bristol, 18 June 2015**

*Directions in hyperbolic and Euclidean lattices*

*Uniform bounds for Period integrals and sparse equidistribution*

*Uniqueness of equilibrium states for geodesic flows in manifolds of nonpositive curvature*

**University of Manchester, 12 May 2015**

*Ledrappier-Young formula for self-affine measures*

*A dynamical approach to $N$-continued fraction expansions*

*On automorphisms of the Higman groups $G_{n,r}$ and of the full one sided shift on $n$-letters*

**University of Warwick, 9 April 2015**

*On the convergence to equilibrium of unbounded observables*

*Spectral structure of transfer operators for expanding circle maps*

4:15pm Benoit Saussol (Brest)*Poisson law for some non uniformly hyperbolic dynamical systems*

**Queen Mary University of London, 3 December 2014**

*How to solve Falconer's distance problem using ergodic theory*

*Kinematic fast dynamo problem for 2D maps*

4:15pm: Jimmy Tseng (Bristol)*Simultaneous dense and nondense orbits*

**University of Manchester, 10 July 2014**

*Cut-and-project sets bounded distance from lattices*

*Projections and slices of self-similar measures*

4:00pm: Tom Ward (Durham)*Rigidity and flexibility in topological dynamics of group automorphisms*

**University of Warwick, 21 May 2014**

*Zeros of the Selberg zeta function and involutions of Maass wave forms*

*Graph reconstruction and noncommutative geometry*

4:15pm: Bogdan Nica (Goettingen)*Boundaries of hyperbolic groups: dynamics and analysis from a noncommutative viewpoint*

**University of Bristol, 20 March 2014**

*Pisot dynamics and beyond*

*Ergodicity of avalanche transformations*

4:30pm - 5:30pm Alex Clark (Leicester)*Using dynamics of maps to classify spaces*

**University of Warwick, 9 January 2014**

*A class of inhomogeneous Markov shifts without an absolutely continuous invariant measure*

*Open maps: from 1D to 2D*

4:45pm: Dong Han Kim (Dongguk University)*Subword complexity and Sturmian colorings of regular trees*

**University of Loughborough, 20 November 2013**

*Recurrence statistics for the Rauzy-Veech-Zorich induction map and the Teichmuller flow on the space of translation surfaces*

*Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps*

4:30pm: Konstantin Khanin (Loughborough)*On rigidity for cyclic nonlinear interval exchange transformations*

**University of Bristol, 8 August 2013**

*Spiraling of lattice approximates and spherical averages of Siegel transforms*

*Ergodic universality*

4:30pm - 5:30pm Karoly Simon (Budapest)*Slices of generalized Sierpinski carpets*

**University of Leicester, 1 July 2013**

*Spectral structure of transfer operators for analytic expanding circle maps*

*Higher Teichmüller theory, generalised lengths and thermodynamic formalism*

4:00pm: Vaibhav Gadre (Warwick)*Word length statistics along random geodesics and the singularity of harmonic measures*

**University of Manchester, 13 May 2013**

*The doubling map with asymmetrical holes*

*Dimension of the projection and slice of dynamically defined sets*

4:00pm: Norbert Peyerimhoff (Durham)*Some spectral applications of McMullen's Hausdorff dimension algorithm*

**University of Warwick, 25 January 2013**

*The derivative of the $\alpha$-Farey-Minkowski function*

*On extremes and recurrence for non-uniformly hyperbolic dynamical systems*

4:00pm Mikko Stenlund (Rome "Tor Vergata" and Helsinki)*Dispersing billiards with moving scatterers*

**Queen Mary University of London, 7 November 2012**

*Unavoidable structures in positive-density subsets of Euclidean space; or, how I learned to stop worrying and love the weak-* topology on $L^\infty(\mathbb R^d)$*

*Rigidity in ergodic theory and topological dynamics*

4:15pm: Anish Ghosh (UEA)*Bounded orbits for flows on homogeneous spaces*

**University of Bristol, 25 June 2012**

*Hierarchy of graph matchbox manifolds*

*Badly approximable points with and without restrictions*

5:00pm: Etienne Ghys (Lyon)*Hardy Lecture: Chirality in Dynamics*

**University of Surrey, 4 May 2012**

*IP-rigidity and eigenvalue groups*

*Equivalence relations on separated nets arising from toral flows*

4:00pm: Francoise Pene (Brest)*Quantitative recurrence for the Lorentz process*

**University of Warwick, 9 January 2012**

*Time-changes of horocycle flows*

*TBA*[There seems to be no record of the title of the talk]

4:00pm: Ya. G. Sinai (Princeton)*Several simple results from number theory*

**Queen Mary University of London, 2 November 2011**

*Distributional limits in infinite ergodic theory*

*An alternative approach to Sacker-Sell spectral theory*

4:45pm: Alex Gorodnik (Bristol)*Quantitative ergodic theorems and Diophantine approximation*

**University of Bristol, 2 June 2011**

*Absorbing sets of homogeneous subtractive algorithms*

*Escape rates, entropy and Lyapunov exponents in dynamical systems with holes*

4:30pm: Vadim Kaloshin (Maryland)*Hausdorff dimension of oscillatory motions for a three body problem*

**University of Manchester, 30 March 2011**

*Self-affine fractals and multifractals*

*Multifractal structure of Bernoulli convolutions*

4:40pm - 5:40pm Thomas Jordan (Bristol)*Increasing digit sets for infinite iterated function systems*

**University of Surrey, 4 March 2011**

*Metastability of Certain Intermittent Maps*

*Renewal theorems for products of random matrices and application to stationary solutions of some stochastic recursions*

4:00pm: Kit Nair (Liverpool)*Pointwise ergodic theorems and combinatorial number theory*

**University of Warwick, 1 February 2011**

*Spectral triples and Gibbs measures on Cantor sets*

*An ergodic theorem for surface groups*

4:40pm: Anders Karlsson (Geneva)*Discrete heat kernels and counting in Cayley graphs*

**Queen Mary University of London, 3 November 2010**

*Operator renewal theory for infinite measure preserving systems*

*TBA*

4:15pm: Frédéric Naud (Avignon)*Lower bounds for the Ruelle eigenvalue sequence*

**University of Bristol, 27 May 2010**

*Some applications of random matrix products*

*Uniform distribution of periodic points*

4:15pm: Pablo Shmerkin (Manchester)*Thermodynamic formalism for the singular value function*

**University of Surrey, 7 May 2010**

*The Central Limit Theorem for Hausdorff dimension of Gibbs measures*

*Escape rates for Gibbs measures*

4:00pm: Matt Nicol (Houston)*Extreme value theory for Sinai dispersing billiards and a class of piecewise hyperbolic diffeomorphisms*

**University of Liverpool, 17 February 2010**

*Statistics, matrix groups and hyperbolic geometry*

*The Schmidt Conjecture*

3:30pm: Anish Ghosh (UEA)*Spectra and density*

**Queen Mary University of London, 4 November 2009**

*Natural extensions and invariant measures for beta-transformations*

*Extreme events for non-uniformly hyperbolic systems*

4:15pm: Krzysztof Fraczek (Torun)*On Markov quasi-similarity of Koopman operators*

**Queen Mary University of London, 22 June 2009**

*Some Sturmian symbolic dynamics*

*A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory*

*Beta-expansions and Bernoulli convolutions*

5:00pm: Norbert Peyerimhoff (Durham)*The integrated density of states of Laplacians on the Kagome lattice*

**University of Surrey, 20 March 2009**

*Metric properties of $\alpha$-Rosen fractions*

*On the iteration of the Perron-Frobenius operator of a class of interval maps preserving an infinite measure*

4:00pm: Anish Ghosh (University of East Anglia)*A dynamical approach to some problems in Diophantine approximation*

**University of Warwick, 28 January 2009**

*Average local entropies, convolutions of Cantor measures, and the dimension of projections*

*The irregular set for the beta shift carries full topological entropy ($= \log beta$)*

4:00pm: Ian Melbourne (Surrey)*Weak invariance principle in the domain of attraction of a stable law for the intermittency map*

**Queen Mary University of London, 12 December 2008**

*On Young towers with non-integrable return function*

*Smooth pressure and Lyapunov spectra for unimodal maps*

4:00pm: Mark Pollicott (Warwick)*The accelerated Rauzy-Veech-Zorich map and transfer operators*

**University of Warwick, 28 July 2008**

*Entropy for maximizing measures of generic functions*

*Thermodynamic formalism for interval maps*

4:00pm: Karoly Simon (Budapest)*Arithmetic difference of random Cantor sets*

**University of Bristol, 13 June 2008**

*Rigidity of actions on algebraic spaces*

*Deformations of the modular group as a correspondence*

4:00pm: John Smillie (Cornell)*Lattice surfaces*

**University of Surrey, 18 April 2008**

*Kinetic transport equations for the periodic Lorentz gas*

*Thermodynamic formalism for interval maps*

4:00pm: Péter Bálint (Budapest)*On the mixing properties of hyperbolic billiards*

**Queen Mary University of London, 31 October 2007**

*Rarity of one-sided Bernoulli systems*

*Towards Khintchine-type theorems on the Cantor set: a problem of Mahler's*

4:00pm: Anne Broise-Alamichel (Orsay)*On the characteristic exponents of the Jacobi-Perron algorithm*

**University of Warwick, 18 June 2007**

*Resonance between Cantor sets and measures*

*A map of the tetrahedron that describes the sequence of pedal triangles*

4:00pm: Nikita Sidorov (Manchester)*Expansions in non-integer bases and dynamics*

**University of Liverpool, 25 April 2007**

*Landing of dynamic rays of entire transcendental functions*

*Hausdorff dimension for stationary measures and iteration function systems*

4:00pm: Oscar Bandtlow (Queen Mary University of London)*A generalisation of the Ionescu - Tulcea - Marinescu ergodic theorem and its converse*

**University of Surrey, 2 February 2007**

*Concentration inequalities for dynamical systems*

*TBA*

4:00pm: Jane Hawkins (Chapel Hill)*One-Dimensional Stochastic Cellular Automata*

**Queen Mary University of London, 1 November 2006**

*Decay of correlations for the infinite horizon planar periodic Lorentz gas*

*Rigorous numerical approximation of escape rates*

4:00pm: Tom Ward (East Anglia)*Growth in entropy rank one*

**Manchester Institute for Mathematical Sciences, 28 April 2006**

*Iterated function systems with overlaps: combinatorics and dynamics*

*Multifractal analysis and fractal properties of (non-)normal numbers*

4:00pm: Franco Vivaldi (QMUL)*Minimal modules of periodic orbits*

**University of Surrey, 27 January 2006**

*TBA*

*Thermodynamic formalism for Fuzzy Gibbs measures*

4:00pm: Carl Dettmann (Bristol)*Open circular billiards and the Riemann hypothesis*

**University of Warwick, 13 January 2006**

*Mixing properties of Lorenz maps and flows*

*Exchangeable and Gibbs measures for subshifts*

16:00pm (Warwick Colloquium): Peter Cameron (Queen Mary)*The random graph and the Urysohn space*

**Queen Mary University of London, 2 November 2005**

*Pair correlations for sequences*

*Maximizing measures and positive Livsic theorems*

3:45pm - 4:45pm Alex Clark (North Texas)*The role of size and shape in tilings*

**University of Warwick, 8 September**

*Monotonicity of topological entropy for multimodal polynomial families*

*Growth rates on covers of negatively curved manifolds*

4:00pm: Carlangelo Liverani (Rome)*Statistical properties of almost product dynamics*

**University of Surrey, 16 May 2005**

*Coupling and speed of decay of correlations*

*Markov extensions for some dynamical systems with holes*

4:00pm: Bassam Fayad (Paris)*Toral translations and smooth ergodic theory*

**Manchester Institute for Mathematical Sciences, 18 February 2005**

*Algebraic solutions of the Painlevé equations*

*Lyapunov exponents of products of random matrices: a more constructive approach*

4:00pm: Norbert Peyerimhoff (Durham)*Spherical means on higher rank symmetric spaces*

**University of Warwick, 13 December 2004**

*Relating exponential growth in a manifold and its fundamental group*

*An a priori bound on the rate of exponential mixing*

4:00pm: Anders Oberg (Uppsala)*Uniqueness of g-measures*

**Queen Mary, University of London, 15 July 2004**

*Contracting interval exchange transformations and maximizing measures*

*Fat Sierpinski carpets*

3:45pm: Alex Eskin (Chicago)*Billiards in some rational triangles*

**University of Liverpool, 5 May 2004**

*Realising pseudo-Anosov hyperbolic toral automorphisms*

3:30pm: Mark Holland (Surrey)*Non-uniformly hyperbolic dynamics and stable manifolds*

**University of Surrey, 26 March 2004**

*Computing spectral data of transfer operators*

*Stability of rapid mixing for hyperbolic flows*

4:00pm: Sebastian Gouezel (Paris)*Decay of correlations for nonuniformly expanding maps*

**University of Manchester, 26 November 2003**

*Livsic Theorems for Nonuniformly Hyperbolic Systems*

4:00pm: Jens Marklof (Bristol)*The Distribution of Error Terms in Counting Problems*

**Queen Mary, University of London, 12 June 2003**

*Pair correlations for closed geodesics*

*Hausdorff dimension and Hausdorff measure for some hyperbolic attractors in space*

4:00pm: Ilya Goldsheid (Queen Mary, University of London)*Rigidity in random walks and random environments*

**University of Liverpool, 7 May 2003**

*Ray-equivalence classes for matings of quadratic polynomials*

4:00pm: Oscar Bandtlow (Queen Mary, University of London)*Eigenvalue asymptotics of Ruelle transfer operators*

**University of Manchester, 5 March 2003**

*Ergodic optimization*

4:00pm: Gwyneth Stallard (Open University)*Dimensions of Julia Sets*

**University of Manchester, 13 November 2002**

*A new test for chaos in deterministic nonlinear dynamical systems*

*A Weak Mixing Dichotomy for Special Flows*

4.30pm: Omri Sarig (Warwick)*Cohomological equations for non-Markov maps and stochastic properties of beta expansions*

**Queen Mary, University of London, 19 July 2002**

*Stable ergodicity for skew products and time-one maps of frame flows*

*Statistical properties for iterated maps that contract on average*

4.15pm: Matt Nicol (Surrey)*Statistical properties of endomorphisms and compact group extensions*

**University of Liverpool, 24 April 2002**

*Entropy-minimising orbits relative to homoclinic point*

3.45pm: Kostya Khanin (Herriot-Watt and Cambridge)*Rigidity of circle maps*

**University of Manchester, 27 February 2002**

*The combinatorics of beta-expansions*

4.00pm: Simon Kristensen (York)*Central limit theorems and invariance principles in ergodic systems*

**University of Manchester, 21 November 2001**

*Statistics of compact group extensions of hyperbolic systems*

4.00pm: Gabriel Paternain (Cambridge)*Genericity of positive entropy for geodesic flows on the 2-sphere*

**Queen Mary, University of London, 14 June 2001**

*Ruelle-Perron-Frobenius spectrum for Anosov maps*

*Ergodic properties of linear actions of $2 \times 2$ matrices on the plane*

4.00pm: Warwick Tucker (Cornell)*The Lorenz attractor exists*

**University of Liverpool, 4 April 2001**

*Arithmetic of numbers of periodic points*

3.30pm: Frederic Paccaut (Imperial)*Some piecewise invertible systems*

**University of Manchester, 6 November 2000**

*Thermodynamic formalism and variations of the Hausdorff dimension of Julia sets of quadratic polynomials*

*Statistical properties of piecewise invertible maps [Cancelled due to train cancellations, flooding, etc.]*

4.45pm: Matt Nicol (Surrey)*Topologically transitive euclidean group extensions*

**Isaac Newton Institute, Cambridge, 6 June 2000**

*Mane's critical values as energy levels*

*Hausdorff dimension of harmonic measure for self-conformal sets*

4.00pm: Tom Ward (East Anglia)*Adelic amoebas and subdynamics*

**University of Manchester, 17 May 2000**

*Symbolic dynamics and entropy of homoclinic tangles*

*Multidimensional continued fractions*

4.00pm: Zaqueu Coelho (Nottingham Trent)*Random times for rotations and associated maps*

**University of Manchester, 22 November 1999**

*Invariant graphs*

*Entropy of rotation sets*

4.00pm: Matt Nicol (Surrey)*Some results on stable ergodicity*

**UMIST, 30 June 1999**

*Ergodicity of frame flows*

*The Box and Hausdorff dimension of General Monotone Sets*

3.00pm: Klaus Schmidt (Vienna and ESI)*Isomorphism rigidity of irreducible $\mathbb Z^d$ actions*

**Nottingham Trent University, 28 April 1999**

*Closed geodesics and periods of automorphic forms*

*Orbits correspondence in parabolic implosion*

*An application of covering spaces to cellular automata*

[No times are recorded.]

**University of Liverpool, 24 February 1999**

*Mating polynomial maps with Kleinian groups*

3.45pm: Dr. S.L. Velani (QMW)*On a problem in simultaneous Diophantine approximation*

**University of Manchester, 25 November 1998**

*Families of Baker domains*

4.00pm: Nikita Sidorov (UMIST)*Ergodic properties of Erdos measures for the Pisot case and applications*

**University of Manchester, 6 August 1998**

*Property (T) and Kazhdan constants for discrete groups*

*Nilmanifold skew products with hyperbolic base*

4.00pm: Keith Burns (Northwestern)*Stable ergodicity of skew-products*

This series of meetings began in 1996 but records of the early meetings are lost in the mists of time.