Reading group on Topics in Entropy Zero Dynamics
Current organiser: Sophie Schmidhuber
Future talks
Unless marked otherwise, all talks are at 10.00 in Y34 K01 .
- 21/11/24 Y34K02 Corinna Ulcigrai, Veech Groups II
Past talks
Autumn 2024
- 14/11/24 Corinna Ulcigrai, Veech Groups I
- 07/11/24 Guest talk: Hamid Al-Saqban
- 31/10/24 Daniele Galli and Yuriy Tumarkin, Horocycle flows on abelian covers of surfaces of negative curvature Talk 2
Reference: Roberto Castorrini and Davide Ravotti, Horocycle flows on abelian covers of surfaces of negative curvature
- 24/10/24 Katy Loyd Strong sweeping out property
- 17/10/24 Daniele Galli and Yuriy Tumarkin, Horocycle flows on abelian covers of surfaces of negative curvature Talk 1
Reference: Roberto Castorrini and Davide Ravotti, Horocycle flows on abelian covers of surfaces of negative curvature
- 08/10/24 15.10 H28 Adam Kanigowski, Higher order mixing for mixing dynamical systems, Talk 2
- 03/10/24 Adam Kanigowski, Higher order mixing for mixing dynamical systems, Talk 1
Spring 2024
- 06/06/24 Przemysłav Berk and Frank Trujillo, Ergodicity of skew-products over typical IETs
Reference: F. Argentieri, P. Berk, F. Trujillo, Ergodicity of skew-products over typical IETs - 30/05/24 Guest talk: Magali Jay, Tiling billiards and IETs
References:- P. Baird-Smith, D. Davis, E. Fromm, S. Iyer, Tiling billards on triangle tilings, and interval exchange transformations
- Pascal Hubert and Olga Paris-Romaskevich, Triangle Tiling Billiards and the Exceptional Family of their Escaping Trajectories: Circumcenters and Rauzy Gasket
- Olga Paris-Romaskevich, Trees and flowers on a billiard table
- 02/05/24 Guest talk: Irene Pasquinelli, Mapping class group orbit closures for non-orientable surfaces 2
Reference: V. Erlandsson, M. Gendulphe, I. Pasquinelli and J. Souto, Mapping class group orbit closures for non-orientable surfaces - 25/04/24 Guest talk: Irene Pasquinelli, Mapping class group orbit closures for non-orientable surfaces 1
Reference: V. Erlandsson, M. Gendulphe, I. Pasquinelli and J. Souto, Mapping class group orbit closures for non-orientable surfaces - 18/04/24 Sophie Schmidhuber, Limit Sets of Non-orientable Mapping Class Groups II
Reference: Sayantan Khan, The limit set of non-orientable mapping class groups - 11/04/24 Sophie Schmidhuber, Limit Sets of Non-orientable Mapping Class Groups I
Reference: Sayantan Khan, The limit set of non-orientable mapping class groups - 26/03/24 Chris Lutsko, Perfect Retroreflectors and Billiard Dynamics
Reference: P. Bachurin, K. Khanin, J. Marklof and A. Plakhov, Perfect retroreflectors and billiard dynamics - 21/03/24 Pouya Honaryar, Introduction to Teichmüller Space of Hyperbolic Structures
Reference: Benson Farb and Dan Margalit, A Primer on Mapping Class Groups - 19/03/24 Yuriy Tumarkin, Cohomological Methods 2: Kontsevich-Zorich Cocycle
Reference: Giovanni Forni, Effective Unique Ergodicity and Weak Mixing of Translation Flows - 14/03/24 Przemysłav Berk, Ergodic Decomposition in Infinite Ergodic Theory
Reference: Jon Aaronson, An Introduction to Infinite Ergodic Theory, volume 50 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1997.
Autumn 2023
- 28/11/23 Sophie Schmidhuber, Geodesic and Horocycle Flows 3: Patterson-Sullivan Measure
Reference: Barbara Schapira, Dynamics of Geodesic and Horocyclic Flows - 07/11/23 Yuriy Tumarkin, Cohomological Methods 1: Number of ergodic measures
Reference: Giovanni Forni, Effective Unique Ergodicity and Weak Mixing of Translation Flows - 25/10/23 Sophie Schmidhuber and Yuriy Tumarkin, Geodesic and Horocycle Flows 2: Ergodicity and Mixing
Reference: Barbara Schapira, Dynamics of Geodesic and Horocyclic Flows - 03/10/23 Sophie Schmidhuber, Geodesic and Horocycle Flows 1: Topological Dynamics
Reference: Barbara Schapira, Dynamics of Geodesic and Horocyclic Flows
Spring 2023
- 12/05/23 Frank Trujillo, Hausdorff dimension of invariant measures of piecewise smooth circle homeomorphisms
Reference: Frank Trujillo, On the Hausdorff dimension of invariant measures of piecewise smooth circle homeomorphisms - 31/03/24 Yuriy Tumarkin, Bratteli Diagrams and Vershik Maps for IETs
References: - 24/03/23 Corinna Ulcigrai, Regularity of Conjugacies Between GIETs and IETs
Reference: Selim Ghazouani and Corinna Ulcigrai, Regularity of conjugacies of linearizable generalized interval exchange transformations - 17/03/23 Andrea Ulliana, Invariant Manifolds for Hyperbolic Diffeomorphisms 2: Regularity of Invariant Submanifolds
Reference: Michael Schub, Global Stability of Dynalmical Systems - 10/03/23 Andrea Ulliana, Invariant Manifolds for Hyperbolic Diffeomorphisms 1: Existence of Stable and Unstable Manifolds
Reference: Michael Schub, Global Stability of Dynalmical Systems - 03/03/23 Guest talk: Stefano Marmi, Brjuno Functions
Reference: S. Marmi, P. Moussa, and J.-C. Yoccoz, Some properties of real and complex Brjuno functions, In Frontiers in Number Theory, Physics, and Geometry. I, pp. 601–623. Springer, Berlin, 2006
Autumn 2022
- 16/12/22 Hao Wu, Recurrence and Ergodicity of Random Walks Driven by Rotations
Reference: Dmitry Dolgopyat and Bassam Fayad, Limit theorems for toral translations - 09/12/22 Yuriy Tumarkin, Maharam Measures
Reference: J. Aaronson, H. Nakada, O. Sarig and R. Solomyak, Invariant measures and asymptotics for some skew products - 25/11/22 Yuriy Tumarkin, The Infinite Staircase
References: - 18/11/22 Frank Trujillo, Dynamical Partitions for Multicritical Circle Maps
Reference: Edson de Faria and Pablo Guarino, Dynamics of multicritical circle maps - 04/11/22 Corinna Ulcigrai, Deviations of Ergodic Averages for IETs
Reference: Anton Zorich, Deviation for interval exchange transformations - 28/10/22 Guido Marinoni, Introduction to Rauzy-Veech Induction
Reference: Vincent Delecroix, Interval Exchange Transformations - 20/10/22 Jonguk Yang, Koebe Distortion
Reference: - 07/10/22 Jonguk Yang, A Priori Bounds for Critical Circle Maps
Reference: Edson de Faria and Welington de Melo, Rigidity of critical circle mappings I