Institute for Mathematical Sciences                                        Programs & Activities

 

   
 

Online registration form
   


Enquiries

      General

      Scientific aspects


   

Workshop on Non-uniformly Hyperbolic and Neutral One-dimensional Dynamics
(23 - 27 April 2012)

Organizing Committee · Visitors and Participants · Overview · Activities · Venue

 

 Organizing Committee

 

Co-chairs

 

 Visitors and Participants

 

 

 Overview

 

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.


 Activities


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

09:35am - 09:50am

Registration

09:50am - 10:00am

Opening Remarks

Louis Chen, Institute for Mathematical Sciences

 

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 ---

 

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

09:45am - 10:00am

Registration

 

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 ---

 

Chair: Michael Benedicks, Royal Institute of Technology, Sweden

02:30pm - 03:20pm

A near parabolic renormalization invariant class for unisingular holomorphic maps, a la Inou-Shishikura

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

09:45am - 10:00am

Registration

 

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

Dynamics of McMullen maps

Yongcheng Yin, Zhejiang University, China

12:10pm - 02:30pm

--- Lunch ---

 

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

09:45am - 10:00am

Registration

 

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 ---

 

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

09:45am - 10:00am

Registration

 

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 ---

 

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.


 Venue

 

 

Organizing Committee · Visitors and Participants · Overview · Activities · Venue

top
Best viewed with IE 7 and above