2017 Northeast Probability Seminar

We have requested support for this seminar series from the National Science Foundation.

Date: November 16-17, 2017
Locations:
Thursday morning: Faculty House, Seminar Room 1
Thursday afternoon: 750 CEPSR (Schapiro Center for Engineering and Physical Science Research)
Friday morning: 209 Havermeyer
Friday afternoon: 750 CEPSR (Schapiro Center for Engineering and Physical Science Research)

Speakers

We will have talks from senior speakers in the morning and junior speakers in the afternoon.

Thursday, November 16

Time Speaker Title
9:30-10:30am Hugo Duminil-Copin (IHES) Sharpness of the phase transition via randomized algorithms
We will present a novel technique enabling us to prove that correlations of classical models of statistical physics decay exponentially fast in the subcritical regime. The strategy, relying on randomized algorithms, extends to a variety of models, including continuum percolation models, Ising and Potts models.
10:45-11:45am Perla Sousi (Cambridge) Random walk on dynamical percolation
We study the behaviour of random walk on dynamical percolation. In this model, the edges of a graph are either open or closed and refresh their status at rate μ, while at the same time a random walker moves on G at rate 1, but only along edges which are open. On the d-dimensional torus with side length n, when the bond parameter is subcritical, the mixing times for both the full system and the random walker were determined by Peres, Stauffer and Steif. I will talk about the supercritical case, which was left open, but can be analysed using evolving sets (joint work with Y. Peres and J. Steif).
11:45am-2:45pm Lunch
2:45-3:45pm Junior Participant Talks 2:45PM: Guillaume Dubach (The overlaps between Ginibre eigenvectors)
3:00PM: Erik Bates (Low-temperature localization of directed polymers)
3:15PM: Promit Ghosal (A tale of lower tail of the KPZ equation)
3:30PM: Julian Gold (Scaling limit for Glauber dynamics on the DGFF at low temperatures)
3:45-4:00pm Break
4:00-5:30pm Junior Participant Talks 4:00PM: Andrey Sarantsev (Talagrand Concentration Inequalities for Stochastic Heat Equation)
4:15PM: Swee Hong (Random walks with local memory on the square lattice)
4:30PM: Marcus Michelen (Invasion percolation on Galton-Watson trees)
4:45PM: Joshua Rosenberg (Percolation models on supercritical Galton-Watson trees)
5:00PM: Kim Weston (Financial equilibrium with transaction costs)
5:15PM: Leila Setayeshgar (Large Deviations for a Class of Semilinear Stochastic Partial Differential Equations)
6:00pm- Conference Dinner

Friday, November 17

Time Speaker Title
9:30-10:30am Tai Melcher (Virginia) Abstract Wiener groups
Gaussian measure has for decades been recognized as the appropriate measure to use in infinite-dimensional analysis, and calculus on such measure spaces has become a valuable tool in the analysis of stochastic processes and their applications. For infinite-dimensional curved spaces, the analogue of Gaussian measure is heat kernel measure. We'll discuss heat kernel measures in a special class of infinite-dimensional spaces and provide motivation for the construction. In particular, these spaces admit a natural hypoelliptic structure, and we're able to show smoothness results for heat kernel measures under both elliptic and hypoelliptic conditions. Parts of this talk are based on joint work with Fabrice Baudoin, Daniel Dobbs, Bruce Driver, Nate Eldredge, and Masha Gordina.
10:45-11:45am Sourav Chatterjee (Stanford) On the decay of correlations in the random field Ising model
In a celebrated 1990 paper, Aizenman and Wehr proved that the two-dimensional random field Ising model has decay of correlations at any temperature. The proof is ergodic-theoretic in nature and does not provide any quantitative information about the rate of decay. I will present the proof of the first quantitative version of the Aizenman-Wehr theorem. Open questions will be discussed.
11:45am-1:45pm Lunch
2:15-3:15pm Junior Participant Talks 2:15PM: Ning Ning (The tightness of the Kesten-Stigum reconstruction bound for asymmetric model with multiple mutations)
2:30PM: Wenjian Liu (Large degree asymptotics and the reconstruction threshold of Asymmetric Ising Model on regular d-ary trees)
2:45PM: Yanghui Liu (Weighted and unweighted limit theorems)
3:00PM: Qi Feng (Quasi-invariance of horizontal Wiener measure on a compact foliated manifold)
3:15-3:45pm Break
3:45-4:45pm Junior Participant Talks 3:45PM: Patricia Alonso Ruiz (Diffusion processes on inverse limit spaces)
4:00PM: Phanuel Mariano (Gradient bounds for general Kolmogorov diffusions using coupling)
4:15PM: Jing Wang (Small time behaviors of degenerate diffusion processes)
4:30PM: Sixian Jin (Series representations of Martingales using Malliavin calculus)
5:30pm- Women in Probability Dinner Location: Symposium Restaurant
Anyone interested in joining should contact Tai Melcher at melcher@virginia.edu and see the site for further details. The cost of dinner can be offset for women graduate student and postdoc dinner attendees

Scientific Committee: Louis-Pierre Arguin (CUNY), Nayantara Bhatnagar (Delaware), Yuri Bakhtin (Courant), Paul Bourgade (Courant), Ivan Corwin (Columbia), Victor de la Pena (Columbia), Julien Dubedat (Columbia), Elena Kosygina (CUNY), Eyal Lubetzky (Courant), Carl Mueller (Rochester), Daniel Ocone (Rutgers), Robin Pemantle (UPenn), Brian Rider (Temple), Ramon van Handel (Princeton)

Accommodations

Participants coming from out of town can consider the following suggested accommodations.

Funding

We have requested funding from the NSF to offer some financial support to participants from US universities. We will give preference to graduate students, postdocs, women and minorities, and junior faculty.

To apply for financial support, please fill out the online application here and provide