10th World Congress in Probability and Statistics
Invited Session (live Q&A at Track 3, 10:30PM KST)
Critical Phenomena in Statistical Mechanics Models (Organizer: Akira Sakai)
Recent results for critical lattice models in high dimensions
Mark Holmes (University of Melbourne)
Near-critical avalanches in 2D frozen percolation and forest fires
Pierre Nolin (City University of Hong Kong)
This talk is based on joint works with Rob van den Berg (CWI and VU, Amsterdam) and with Wai-Kit Lam (University of Minnesota).
Quenched and annealed Ising models on random graphs
Cristian Giardinà (Modena & Reggio Emilia University)
The picture that I will present emerges from several joint works, involving V.H. Can, S. Dommers, C. Giberti, R.van der Hofstad and M.L.Prioriello.
Q&A for Invited Session 13
Akira Sakai (Hokkaido University)
Privacy (Organizer: Angelika Rohde)
The Right Complexity Measure in Locally Private Estimation: It is not the Fisher Information
John Duchi (Stanford University)
Sequentially interactive versus non-interactive local differential privacy: estimating the quadratic functional
Lukas Steinberger (University of Vienna)
Gaussian differential privacy
Weijie Su (University of Pennsylvania)
This is joint work with Jinshuo Dong and Aaron Roth.
Q&A for Invited Session 15
Angelika Rohde (University of Freiburg)
Random Planar Geometries (Organizer: Nina Holden)
Markovian infinite triangulations
Thomas Budzinski (École normale supérieure de Lyon)
Rotational invariance in planar FK-percolation
Ioan Manolescu (Université de Fribourg)
Our result is obtained via a universality theorem for FK-percolation on certain isoradial lattices. This in turn is proved via the star-triangle (or Yang-Baxter) transformation, which may be used to gradually change the square lattice into any of these isoradial lattices, while preserving certain features of the model. It was previously proved that throughout this transformation, the large scale geometry of the model is distorted by at most a limited amount. In the present work we argue that the distortion becomes insignificant as the scale increases. This hinges on the interplay between the inhomogeneity of isoradial models and their embeddings, which compensate each other at large scales.
As a byproduct, we obtain the asymptotic rotational invariance also for models related to FK-percolation, such as the Potts and six-vertex ones. Moreover, the approach described here is fairly generic and may be adapted to other systems which possess a Yang-Baxter transformation. Based on joint work with Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun and Mendes Oulamara.
Brownian half-plane excursions, CLE_4 and critical Liouville quantum gravity
Ellen Powell (Durham University)
This is based on a forthcoming joint work with Juhan Aru, Nina Holden and Xin Sun, and describes the analogue of Duplantier-Miller-Sheffield’s “mating-of-trees correspondence” in the critical regime.
Q&A for Invited Session 24
Nina Holden (Swiss Federal Institute of Technology Zürich)