Connections Between Complex Dynamics, Statistical Physics, and Limiting
Spectra of Self-similar Group Actions
Indiana University Purdue University Indianapolis from August 15 to 19, 2016.
Funded by the National Science Foundation, the IUPUI School of Science, and the IUPUI Office for Academic Affairs.
The goal of this workshop is to bring together people from the three fields in hopes of stimulating interaction and new progress.
Structure:
Monday and Tuesday (8/15 and 8/16): Learning talks BY AND FOR grad students and postdocs. We will provide those who would like to speak with a list of possible topics and appropriate material for learning the topics.
Wednesday (8/17): Mini-courses by experts in the three fields, meant for everyone, including established researchers in each of the three fields.
Thursday and Friday (8/18 and 8/19): Research talks, which are still meant to be accessible to people in all three areas.
Learning talks:
- Dianne Holcomb (U. Arizona): The Ising Model.
- Hongming Nei (Indiana University): Self-similar groups and Iterated Monodromy Groups. Slides
- Stefano Silvestri (IUPUI): Compactness Theorem for Subharmonic Functions.
- Joanna Furno (IUPUI): Application of the Compactness Theorem for Subharmonic Functions to Brolin's Theorem. Slides
- Sara Lapan (Northwestern and UC Riverside): What is a closed positive (1,1) current and explanation of introduction to ``Brolin's Theorem in Dimension 2'' by Favre and Jonsson. Slides
- Mikel de Viana (Georgia Tech): Fisher Zeros on the Diamond Heirarchical Lattice. Slides
- Olivier Remy (École Polytechnique): Lee-Yang zeros for DHL. Slides
- Ivan Chio (IUPUI): Lee-Yang-Fisher zeros for the DHL.
- Yuki Takahashi (UC Irvine): Calculation of the spectrum for the action of the Lamplighter group. Slides
- Scott Kaschner (Butler U): Rational map in two variables arising when trying to compute the spectrum of the action of the IMG for z^2-1.
- Danielle Larcomb (U. Denver): Exponential Random Graph Models. Slides
Mini-course talks:
- Eric Bedford (SUNY Stony Brook): Dynamics of rational maps in dimension two.
- Jeff Diller (Notre Dame): Two-variable rational maps: dynamics by example.
- Pavel Bleher (IUPUI): Renormalization Group in Statistical Mechanics.
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Robert Shrock (SUNY Stony Brook): The Potts Model and Tutte Polynomial, and Associated Connections between Statistical Mechanics and Graph Theory. Slides
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Volodymyr Nekrashevych (Texas A&M) Self-similar groups, dynamical systems, and spectra.
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Andrzej Zuk (Université Paris 7): Automata groups.
Research Talks:
- Sandrine Daurat (U. Michigan): Hyperbolic saddle measures and laminarity for holomorphic endomorphisms of CP^2.
- Tanya Firsova (Kansas State U.): Hedgehogs in C^2.
- John Hubbard (Cornell University and Universite de Provence): Evening lecture: Deformation space of rational maps and the topology of moduli space. Slides
- Dmytro Savchuk (University of South Florida): Lamplighter groups from affine automorphisms of rooted trees. Slides
- Robert Shrock (SUNY Stony Brook): Zeros of Chromatic and Tutte (Potts) Polynomials and their Accumulation Sets for Families of Graphs. Slides
- Tzu-Chieh Wei (SUNY Stony Brook): Density of Yang-Lee zeros from tensor network methods. Slides
- Mei Yin (University of Denver): Phase transitions in (generalized) exponential random graphs. Slides
- Andrzej Zuk (Université Paris 7): Research talk: Spectra of automata.
Organizing Committee:
Joanna Furno (IUPUI),
Scott Kaschner (Butler University),
Rodrigo Perez (IUPUI),
Roland Roeder (IUPUI)