Institute for Mathematical Sciences Event Archive
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Workshop on Non-uniformly Hyperbolic and Neutral One-dimensional Dynamics
(23 - 27 April 2012)
Organizing Committee · Visitors and Participants · Overview · Activities · Venue
Co-chairs
- Juan Rivera-Letelier (Pontifical Catholic University of Chile)
- Weixiao Shen (National University of Singapore)
- Mitsuhiro Shishikura (Kyoto University)
This workshop aims to bring together some of the leading experts working on parabolic renormalization, statistical properties and thermodynamic formalism of one-dimensional dynamical systems and related topics, to disseminate and explore possible research collaborations.
There will be four or five lectures in each of the five days of the workshop. Plenty of time will be left for informal discussions among the participants.
Monday, 23 Apr 2012 |
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09:35am - 09:50am |
Registration |
09:50am - 10:00am |
Opening Remarks Louis Chen, Institute for Mathematical Sciences |
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Chair: Mitsuhiro Shishikura, Kyoto University, Japan |
10:00am - 10:50am |
On a conjecture of Milnor on monotonicity of entropy and Tresser's version Sebastian van Strien, Imperial College London and Warwick University, UK |
10:50am - 11:20am |
--- Coffee Break --- |
11:20am - 12:10pm |
Bounded geometry and characterization of holomorphic maps Yunping Jiang, City University of New York, USA |
12:10pm - 02:30pm |
--- Lunch --- |
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Chair: Henk Bruin, University of Surrey, UK |
02:30pm - 03:20pm |
Perturbing Misiurewicz exponential maps Neil Dobbs, IBM, USA |
03:20pm - 03:50pm |
--- Coffee Break --- |
03:50pm - 04:40pm |
Shishikura trees associated with disconnected Julia sets Guizhen Cui, Chinese Academy of Sciences, China |
Tuesday, 24 Apr 2012 |
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09:45am - 10:00am |
Registration |
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Chair: Yunping Jiang, City University of New York, USA |
10:00am - 10:50am |
Straight brush model for irrationally indifferent fixed points of holomorphic functions Mitsuhiro Shishikura, Kyoto University, Japan |
10:50am - 11:20am |
--- Group Photo & Coffee Break --- |
11:20am - 12:10pm |
The attractors of complex quadratic polynomials with an irrationally indifferent fixed point Davoud Cheraghi, University of Warwick, UK |
12:10pm - 02:30pm |
--- Lunch --- |
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Chair: Michael Benedicks, Royal Institute of Technology, Sweden |
02:30pm - 03:20pm |
Arnaud Cheritat, Mathematics Institute of Toulouse, France |
03:20pm - 03:50pm |
--- Coffee Break --- |
03:50pm - 04:40pm |
On domains and ranges of near-parabolic renormalizations Hiroyuki Inou, Kyoto University, Japan |
Wednesday, 25 Apr 2012 |
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09:45am - 10:00am |
Registration |
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Chair: Viviane Baladi, Ecole Normale Supérieure, France |
10:00am - 10:50am |
Spectrum of transfer operators for geodesic flows on negatively curved manifolds Masato Tsujii, Kyushu University, Japan |
10:50am - 11:20am |
--- Coffee Break --- |
11:20am - 12:10pm |
Yongcheng Yin, Zhejiang University, China |
12:10pm - 02:30pm |
--- Lunch --- |
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Chair: Arnaud Cheritat, Mathematics Institut of Toulouse, France |
02:30pm - 03:20pm |
Stability, bifurcation and classification of minimal sets in random complex dynamics Hiroki Sumi, Osaka University, Japan |
03:20pm - 03:50pm |
--- Coffee Break --- |
03:50pm - 04:40pm |
Topological invariance of a strong summability condition in one-dimensional dynamics Huaibin Li, Pontifical Catholic University of Chile, Chile |
04:50pm - 05:20pm |
Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps Rui Gao, National University of Singapore |
Thursday, 26 Apr 2012 |
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09:45am - 10:00am |
Registration |
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Chair: Stefano Luzzatto, The Abdus Salam International Centre for Theoretical Physics, Italy |
10:00am - 10:50am |
On the Whitney-holder differentiability of the SRB measure in the quadratic family Viviane Baladi, Ecole Normale Supérieure, France |
10:50am - 11:20am |
--- Coffee Break --- |
11:20am - 12:10pm |
Low temperature phase transitions in the quadratic family Juan Rivera-Letelier, Pontifical Catholic University of Chile, Chile |
12:10pm - 02:30pm |
--- Lunch --- |
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Chair: Juan Rivera-Letelier, Pontifical Catholic University of Chile, Chile |
02:30pm - 03:20pm |
Transience and thermodynamics for a class of infinitely branched maps Mike Todd, University of St Andrews, UK |
03:20pm - 03:50pm |
--- Coffee Break --- |
03:50pm - 04:40pm |
Thermodynamics for Lebesgue dissipative interval maps Henk Bruin, University of Surrey, UK |
04:50pm - 05:20pm |
On deterministic perturbations of non-uniformly expanding interval maps Bing Gao, National University of Singapore |
Friday, 27 Apr 2012 |
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09:45am - 10:00am |
Registration |
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Chair: Masato Tsujii, Kyushu University, Japan |
10:00am - 10:50am |
Reciprocal relations between geometrical and statistical properties for nonuniformly expanding maps Stefano Luzzatto, The Abdus Salam International Centre for Theoretical Physics, Italy |
10:50am - 11:20am |
--- Coffee Break --- |
11:20am - 12:10pm |
On topological complexity of Cantor attractors for unimodal maps Weixiao Shen, National University of Singapore |
12:10pm - 02:30pm |
--- Lunch --- |
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Chair: Sebastian van Strien, Imperial College London and Warwick University, UK |
02:30pm - 03:20pm |
Large deviation principle for Benedicks-Carleson quadratic maps Hiroki Takahasi, University of Tokyo, Japan |
03:20pm - 03:50pm |
--- Coffee Break --- |
03:50pm - 04:40pm |
Uniform hyperbolicity and absolutely continuous invariant measures for double standard maps Michael Benedicks, Royal Institute of Technology, Sweden |
Students and researchers who are interested in attending these activities are requested to complete the online registration form.
The following do not need to register:
- Those invited to participate.
Organizing Committee · Visitors and Participants · Overview · Activities · Venue
