Probability Archives - Page 9 of 10

Seminars: Probability

Date
Time
Venue

Speaker
Affiliation
Title of Talk

16 Dec 2021
09:00
via Zoom

Guillaume Remy
Columbia University
Integrability of boundary Liouville CFT

Integrability of boundary Liouville CFT

Date/Time : 16 Dec 2021 09:00
Venue : via Zoom
Speaker : Guillaume Remy, Columbia University

Join Zoom Meeting
https://nus-sg.zoom.us/j/82279401256?pwd=ZTg0M3dueXVNaUUrMzlIcTlsUUlLQT09

Meeting ID: 822 7940 1256
Passcode: 044547

Abstract: Liouville theory is a fundamental example of a conformal field theory (CFT) first introduced in physics by A. Polyakov to describe a canonical random 2d surface. In recent years it has been rigorously studied using probabilistic techniques. In this talk we will take a look at the integrable structure of Liouville CFT on a domain with boundary by proving exact formulas for its correlation functions. We will also discuss the connection with the conformal blocks of CFT which are fundamental functions determined by conformal invariance that underlie the exact solvability of CFT. Based on joint works with Morris Ang, Promit Ghosal, Xin Sun, Yi Sun and Tunan Zhu.

Add to calendar :

15 Dec 2021
09:00
via Zoom

Souvik Dhara
MIT
Fine structure of large networks: Universality phenomena, asymptotic characterization, and modern issues

Fine structure of large networks: Universality phenomena, asymptotic characterization, and modern issues

Date/Time : 15 Dec 2021 09:00
Venue : via Zoom
Speaker : Souvik Dhara, MIT

Join Zoom Meeting
https://nus-sg.zoom.us/j/85163689192?pwd=cXdBOE9oa2NCU2tPZUFlMWZTV2s4Zz09

Meeting ID: 851 6368 9192
Passcode: 322049

Abstract: In this talk, I will discuss some recent challenges arising in the study of large and complex networks. Over the last decades, improved data collection methods have significantly increased the availability of empirical data on networks, and the study of networks has become relevant across multiple disciplines such as biology, computer science, physics, and statistics. This has stimulated enormous activity in the mathematics research community to understand (1) local and global structure of networks, (2) dynamic processes on them, and (3) algorithms to discover hidden patterns in networks. In this talk, I will discuss my research on the above three topics in the context of percolation process, graph limits, and community detection on networks.

Add to calendar :

08 Dec 2021
09:00
via Zoom

Konstantin Matetski
Columbia University
KPZ universality of random growing interfaces

KPZ universality of random growing interfaces

Date/Time : 08 Dec 2021 09:00
Venue : via Zoom
Speaker : Konstantin Matetski, Columbia University

Join Zoom Meeting
https://nus-sg.zoom.us/j/89132660362?pwd=SHB5bkRwVU9UUDRKVUd0UzY0Vk02QT09

Meeting ID: 891 3266 0362
Passcode: 880312

The KPZ universality class includes random growing interfaces, which, after rescaling, are conjectured to converge to the KPZ fixed point. The latter is a Markov process, which has been characterized through the exact solution of TASEP, a particular model in the class. The KPZ equation plays a special role and is conjectured to be the only model connecting the Edwards-Wilkinson (Gaussian) and the KPZ fixed points. In the talk, I will introduce the KPZ fixed point and review recent work on the KPZ universality done by myself and my collaborators.

Add to calendar :

01 Dec 2021
16:00
via Zoom

Pierre-Francois Rodriguez
Imperial College, London
Recent progress on near-critical percolation for the 3D Gaussian free field

Recent progress on near-critical percolation for the 3D Gaussian free field

Date/Time : 01 Dec 2021 16:00
Venue : via Zoom
Speaker : Pierre-Francois Rodriguez, Imperial College, London

Join Zoom Meeting
https://nus-sg.zoom.us/j/85694125031?pwd=eGJuMWk5SXRCS2hWc1JITXpRWmdRUT09

Meeting ID: 856 9412 5031
Passcode: 918464

Abstract: I will report on recent progress regarding the near-critical behavior of certain statistical physics models in dimension 3. Our results deal with the critical scaling exponents associated to the second-order phase transition for two percolation problems involving the Gaussian free field in 3D. In one case, they determine a unique “fixed point” corresponding to the transition, which is proved to obey one of several scaling relations. Such laws are classically conjectured to hold by physicists on the grounds of a corresponding scaling ansatz.

Add to calendar :

24 Nov 2021
09:00
via Zoom

Yair Shenfeld
MIT
Extremal structures in probability and convex geometry

Extremal structures in probability and convex geometry

Date/Time : 24 Nov 2021 09:00
Venue : via Zoom
Speaker : Yair Shenfeld, MIT

Join Zoom Meeting
https://nus-sg.zoom.us/j/87967891890?pwd=R1k4L2FLUGZKVURjd0ZiU0h5L013dz09

Meeting ID: 879 6789 1890
Passcode: 176920

Abstract: What does a ball and a half space have in common? The former is the unique shape which minimizes surface area among all shapes of equal Euclidean volume, while the latter solves the analogous optimization problem for Gaussian volume. These shapes are examples of extremal structures and they play a prominent role in geometric and
probabilistic phenomena: from the shape of water droplets to concentration of measure.

Once we go deeper into the world of extremal structures, we find that they seem hopelessly complex, while permeating mathematics, ranging from probability to combinations to algebraic geometry. In fact, the
characterization of some of these structures is only conjectural, while for others, not even conjectures exist. I will talk about how we resolve several of these conjectures using stochastic, analytic, and geometric tools.

Add to calendar :

17 Jan 2020
14:00
S16 #05-98

Xinyi Li
Peiking University
Recent Progress on Loop-erased Random Walk

Recent Progress on Loop-erased Random Walk

Date/Time : 17 Jan 2020 14:00
Venue : S16 #05-98
Speaker : Xinyi Li , Peiking University

Date/Time:17 Jan 2020 14:00 Venue: S16 #05-98 Speaker: Xinyi Li, Peiking University Recent Progress on Loop-erased Random Walk In this mini-course, we will give a brief review on the model of Loop-erased Random Walk (LERW) and its relationship with other models from statistical physics, and discuss some of the recent progress on this model, especially in three dimensions. Add to calendar:

Add to calendar :

16 Jan 2020
14:00
S16 #05-98

Xinyi Li
Peiking University
Recent Progress on Loop-erased Random Walk

Recent Progress on Loop-erased Random Walk

Date/Time : 16 Jan 2020 14:00
Venue : S16 #05-98
Speaker : Xinyi Li , Peiking University

Date/Time:16 Jan 2020 14:00 Venue: S16 #05-98 Speaker: Xinyi Li, Peiking University Recent Progress on Loop-erased Random Walk In this mini-course, we will give a brief review on the model of Loop-erased Random Walk (LERW) and its relationship with other models from statistical physics, and discuss some of the recent progress on this model, especially in three dimensions. Add to calendar:

Add to calendar :

15 Jan 2020
14:00
S16 #05-98

Xinyyi Li
Peiking University
Recent Progress on Loop-erased Random Walk

Recent Progress on Loop-erased Random Walk

Date/Time : 15 Jan 2020 14:00
Venue : S16 #05-98
Speaker : Xinyyi Li , Peiking University

Date/Time:15 Jan 2020 14:00 Venue: S16 #05-98 Speaker: Xinyyi Li, Peiking University Recent Progress on Loop-erased Random Walk In this mini-course, we will give a brief review on the model of Loop-erased Random Walk (LERW) and its relationship with other models from statistical physics, and discuss some of the recent progress on this model, especially in three dimensions. Add to calendar:

Add to calendar :

20 Feb 2019
14:00
S17 #04-06 SR1

Alexander Drewitz
U. Cologne
Geometry of Gaussian free field sign clusters and random interlacements

Geometry of Gaussian free field sign clusters and random interlacements

Date/Time : 20 Feb 2019 14:00
Venue : S17 #04-06 SR1
Speaker : Alexander Drewitz , U. Cologne

Date/Time:20 Feb 2019 14:00 Venue: S17 #04-06 SR1 Speaker: Alexander Drewitz, U. Cologne Geometry of Gaussian free field sign clusters and random interlacements We consider two fundamental percolation models with long-range correlations: Level set percolation for the Gaussian free field (GFF) and percolation of the vacant set of random interlacements. Both models have been the subject of intensive research during the last decades. In this talk we focus on structural properties of the level set percolation of the GFF. In particular, we establish the non-triviality of a phase in which two infinite sign clusters dominate, and their complement only has small connected components. While the respective results are new for $\Z^d$ as the underlying graph, we also cover more intricate geometries such as transient graphs with subdiffusive random walk behavior. As a consequence, we answer an open problem on the non-triviality of the phase transition of the vacant set of Random Interlacements on such geometries. This talk is based on joint works with A. Prévost (Universität zu Köln) and P.-F. Rodriguez (IHES). Add to calendar:

Add to calendar :