Analysis, Dynamics, Geometry and Probability: March 2-6, 2020

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Organized by: Hrant Hakobyan, Kirill Lazebnik, Raanan Schul, 
Scientific committee: Peter Jones, Misha Lyubich, Dennis Sullivan

The workshop will bring together experts in Analysis, Dynamics, Geometry and Probability. These fields have had fruitful interaction in the past and present. One example is the connection between Brownian motion, harmonic measure, analysis of singular integrals, and geometric properties of domains. Another example is dynamics interacting with geometric properties of quasiconformal mappings. Finally we mention the interaction between analytic and probabilistic methods and computational problems. The purpose of the workshop will be to share insights and foster further interaction between the fields. To this end, an emphasis will be given to talks being accessible to a broad audience of mathematicians and physicists.

Remark: The conference is on the occasion of Chris Bishop’s 60th birthday and is roughly centered around his interests.

This workshop is associated with the program Renormalization and universality in Conformal Geometry, Dynamics, Random Processes, and Field Theory: February 3 – May 29, 2020

This workshop is supported in part through the NSF.

Please note the change in location for certain talks.

Talk Schedule


Time Title Speaker Location
8:30am Breakfast and Registration N/A SCGP Cafe
9:45am Conformal welding in probability and dynamics Steffen Rohde SCGP 102
11:00am Bishop-Jones’ square functions and higher order rectifiability Silvia Ghinassi SCGP 102
11:30am Lunch N/A SCGP Cafe
1:20pm Random Walks on Dyadic Lattice Graphs and Their Duals Russell Lyons SCGP 102
2:20pm Quick Break N/A N/A
2:30pm The duality of Loewner energy and foliations of Weil-Petersson quasicircles Yilin Wang SCGP 102
3:30pm Tea Time N/A SCGP Lobby
4:00pm 2D percolation revisited Part 1 Stanislav Smirnov SCGP 103

Time Title Speaker Location
8:00am Breakfast N/A SCGP Cafe
9:00am The $\varepsilon^2$-conjecture of Carleson Xavier Tolsa SCGP 102
10:00am Coffee Break N/A SCGP Cafe
10:30am Harmonic measure for domains with a high co-dimensional boundary I Svitlana Mayboroda SCGP 102
11:30am Lunch and Poster Session N/A SCGP Cafe
1:20pm Harmonic measure for domains with a high co-dimensional boundary II Guy David SCGP 103
2:20pm Quick Break N/A N/A
2:30pm 2D percolation revisited Part 2 Stanislav Smirnov SCGP 103
3:30pm Tea Time N/A SCGP Lobby,
4:00pm Elliptic measure and the geometry of domains in Euclidean space Tatiana Toro SCGP 103

Time Title Speaker Location
8:00am Breakfast N/A SCGP Cafe
9:00am A new decomposition of surfaces in the Heisenberg group Assaf Naor SCGP 102
10:00am Coffee Break N/A SCGP Cafe,
10:30am Densities of measures, tubular neighborhoods, and heat content in the Heisenberg group Jeremy Tyson SCGP 102
11:30am Lunch and Poster Session N/A SCGP Cafe,
1:20pm Stationary random entire functions and related questions Adi Glucksam SCGP 103
1:50pm Weak Tangents of Metric Spaces Angela Wu SCGP 102
2:20pm Quick Break N/A N/A
2:30pm 2D percolation revisited Part 3 Stanislav Smirnov SCGP 103,
3:30pm Tea Time N/A SCGP Lobby,
4:00pm Fractals and the dynamics of Thurston maps Mario Bonk SCGP 103

Time Title Speaker Location
8:00am Breakfast N/A SCGP Cafe
9:00am Constructing Riemann surfaces from equilateral triangles Lasse Rempe-Gillen SCGP 102
10:00am Coffee Break N/A SCGP Cafe,
10:30am Wandering domains in and out Nuria Fagella SCGP 102
11:30am Lunch and Poster Session N/A SCGP Cafe,
1:20pm Random tilings, Dimer models and Beltrami equation: Universality in geometry of frozen boundaries Kari Astala SCGP 102
2:20pm Quick Break N/A N/A
2:30pm Constructing entire functions with wandering domains by a quasiconformal modification David Marti-Pete SCGP 102
3:00pm Constructing examples of simply connected wandering domains Vasiliki Evdoridou SCGP 102
3:30pm Tea Time N/A SCGP Lobby,
4:00pm Laplacian determinants and random surfaces Scott Sheffield SCGP 103

Time Title Speaker Location
8:00am Breakfast N/A SCGP Cafe
9:00am Random and pseudo-random Taylor series Mikhail Sodin SCGP 102
10:00am Coffee Break N/A SCGP Cafe,
10:30am Geometry of nodal sets of Laplace eigenfunctions Aleksandr Logunov SCGP 102
11:30am Lunch N/A SCGP Cafe,
1:20pm Approximation of Geometric Structures to Facilitate Optimization: A Computational Geometer’s Perspective Joseph Mitchell SCGP 102
2:20pm Quick Break N/A N/A
2:30pm Removability of fractal sets for conformal maps Dimitrios Ntalampekos SCGP 102
3:00pm Univalent Polynomials and Hubbard Trees Kirill Lazebnik SCGP 102
3:30pm Tea Time N/A SCGP Lobby,
4:00pm Fibered 3-manifolds and Weil-Petersson geometry Yair Minsky SCGP 102


Poster Sessions


Time Speaker Title Location
11:30 AM Jack Burkart Julia sets of transcendental entire functions with fractional packing dimensions SCGP lobby
11:30 AM Christina Karafyllia Conformal invariants and membership of conformal maps in Hardy spaces SCGP lobby
11:30 AM Tania Gricel Julia continua of transcendental entire functions SCGP lobby
11:30 AM Leticia Pardo-Simon Entire functions whose maximum modulus set has prescribed discontinuities SCGP lobby
11:30 AM Bruno Poggi Carleson perturbations of elliptic operators on domains with higher-codimensional boundaries SCGP lobby
11:30 AM James Waterman Wiman-Valiron discs and the Hausdorff dimension of Julia sets of meromorphic functions SCGP lobby
11:30 AM Aron Wennman The emergence of quadrature domains on the hole event for Gaussian random zeros SCGP lobby