Substitutive Tiling and Fractal Geometry
July 4-11th, Guangzhou, China
Description
The goal of this workshop is to gather reasearchers around combinatorics, dynamics and geometry, with special focus on the connections between tilings and fractals. Subtitution tilings are quite well-known from a combinatorial viewpoint (Penrose tiling...). Fractals appear as limit points of such substitution process. Substitution tilings and fractals also naturally appear in several domains of mathematics such as dynamics, geometry, group theory or number theory, related to self-induced structures. The goal of the workshop is to understand better the properties of the tilings that may appear in each of these domains, and investigate connections with such class of tilings and methods known in fractal geometry.
Draft Program
- Day 0 Flying from Europe to China, a nice arriving time might be sometime in the afternoon, with a 6-7 hours of time difference (shifting earlier).
- Days 1 and 2 General lectures on substitutive tilings
- Theory and fundamental results
- New results
- Problem session
- Days 3,4,5 Talks from participants
- Day 6 (possibly 7) Free discussions and/or exploration in local places.
Funds
Workshop expenses and hotel fees will be covered by Sun Yat Sen University in Guangzhou. An additional support for local expense is available for 7-8 young colleagues (to be asked to the organizers).
Accomodation
Participants will stay at Wing Kwong Hall guest house or 中山大学西苑宾馆
Map
- Restaurants to survive near the campus: Fooding map
- Joining the campus: From airport, participants need to take bus #10 and get off at the last
terminal(New Pearl River Hotel), which is marked on the right-upper part of the fooding map. From the terminal, the hotel is within walking distance, say 12 to 15
minutes by foot. If ordering a taxi, it takes 5 to 6 minutes and the price should be 8 to 10 CNY.
Program
Lecture sessions
- Monday morning : Ergodic Theory and Symbolic Dynamics
9H30. Welcome
10H. Pierre Arnoux Dynamical Systems, Symbolic Dynamics,Interval Exchanges [Introductionary paper to symbolic dynamics]
10h50 Break
11H. Boris Adamczeswki From substitutions to number theory and backwards [pdf file]
10h50 Break
- Monday afternoon: Fractals
15H. Jun Luo Families of fractal, construction, main properties [pdf file]
15h50 Break
16H. Anne Siegel Rauzy fractals [pdf file]
- Tuesday morning: Tilings
10H. Valérie Berthé Combinatorics of tilings [pdf file]
10h50 Break
11H. Shigeki Akiyama Pisot conjecture and tilings. [pdf file]
Research talks sessions
- Tuesday afternoon: Combinatorics of Tilings
15H. Edmund Harriss Chaim's matching rule paper.
15H40 Arnaud Hillion Does there exist substitutive tilings of the hyperbolic plane? [pdf file]
16h20 Break
16H40 Mathieu Sablik Simulating an effective subshift by a subshift of finite type: some application [pdf file]
[additional pictures]
- Wednesday morning: Fractal Geometry and Ergodic Theory
9H. Huo-Jun Ruan Some progresses on Lipschitz equivalence of self-similar sets [pdf file]
[Paper 1]
[Paper 2]
9H45 Ying Xiong Some Topics on the Lipschitz equivalence
10h15 Break
10H35 Bo Tan The superstationary set [pdf file]
11H15 Thomas Stoll Newman's phenomenon for the Thue-Morse sequence and related conjectures
- Wednesday afternoon: Sport and food session
Ping-Pong
Foot badmington
Fooding session
- Thursday morning: Dynamics of Interval Exchanges and Beta-Numerations
9H. Shunji Ito and Maki Furukado The substitutions related to the Rauzy induction on 4-interval exchange transformations and tilings.
[pdf file]
9H45 Sebastien Ferenczi Eigenvalues of Arnoux-Rauzy systems
10h15 break
10H30 Wen-Xia Li Intersection of homogeneous Cantor sets and beta-expansions
11H. Bao-Wei Wang Quantitative Recurrence in beta-shift
[pdf file]
11H30 Chun-Kit Lai Spectral structure of tile digit sets
[pdf file]
- Thursday afternoon: Rauzy Fractals and Fractal Geometry
15H00. Tai-Man Tang Structure of planar self-affine tilings and the topology of self-affine tiles
[pdf file]
15H30 Tarek Sellami Common dynamics of fractals
[pdf file]
16h. Break
16H15 Timo Jolivet Connectedness of Rauzy fractal families
[pdf file]
16H45 Xavier Bressaud Rauzy matching rules
[pdf file]
- Friday morning: Dynamical Systems and Fractals
9H. Wen-Xiang Sun Zero Entropy versus Infinity Entropy
9H40 De-Jun Feng Invariant measures with maximal Hausdorff dimension
10h20 break
10H20 Tuomas Sahlsten Characterizing porous mass distributions
11H20 Shigeki Akiyama Problem session
[Luo's contribution]
- Friday afternoon:
After lunch Everyone Free discussion and Goodbuy
Participants
Boris Adamczeswki
(Université Claude Bernard Lyon 1, France)
Pierre Arnoux (IML, Université de la Méditerrannée, France)
Valérie Berthé (LIRMM Université de Montpellier, France)
Xavier Bressaud (Université de Toulouse, France)
Sébastien Ferenczi (IML, Université de la Méditerrannée, France)
De-Jun Feng (Chinese University of Hong Kong, China)
Maki Furukado (Yokohama National University, Japan)
Edmund Harriss
(University of Leceister, United Kingdom)
Wei-Hong He (Sun Yat Sen University, China)
Arnaud Hilion (LATP, Université de Provence, France)
Shunji Ito (Kanazawa University, Japan)
Timo Jolivet (LIRMM Université de Montpellier, France)
Chun Kit Lai (Chinese University of Hong Kong, China)
Hao Li (Wanli College, Zhejiang, China)
Jun Luo (Sun Yat Sen University, China)
Ji-Hua Ma (Wuhan University, China)
Huo-Jun Ruan (Zhejiang University, China)
Tuomas Sahlsten (University of Helsinki, Finland)
Tarek Sellami (IML, Université de la Méditerrannée, France)
Anne Siegel (IRISA, Université de Rennes 1, France)
Thomas Stoll (IML, Université de la Méditerrannée, France)
Bo Tan (Huazhong University of Science & Technology, China)
Tai-Man Tang (Xiang-Tan University, China)
Bao-Wei Wang (Huazhong University of Science & Technology, China)
Xiang-Yang Wang (Sun Yat-Sen University, China)
Jian Xu (Huazhong University of Science & Technology, China)
To contact organizers ?
Jun Luo (luojun3 AATT mail.sysu.edu.cn)
Anne Siegel (anne.siegel AATT irisa.fr )
To ask for abstracts & talk slides ?
Please check workshop links on Anne Siegel's webpage.
