Asymptotic limits of discrete structures

Date: August 10
Time: 13:30--15:30
Room: 409

(Note: Click title to show the abstract.)

Yin, Mei (Univ. of Denver)

Abstract: This mini-symposium will center on asymptotic limits of various discrete structures and their associated phase transitions from a statistical mechanics perspective.

The organizer (who is also the first speaker) will provide an overview of this exciting area of study, elaborate on its broad connections to other areas of mathematics, and suggest new venues for continued research and application.

The second speaker will examine the long time asymptotics of the uncorrelated stochastic volatility model in discrete time. This model is popular in the financial industry, especially in the interest rate derivative markets.

The third speaker will investigate the asymptotics of large directed graphs subject to certain constraints. This model is a close cousin of the exponential random graph model, which is widely used to characterize the structure and behavior of real-world networks.

The fourth speaker will explore the continuous limit of the Frenkel-Kontorova model on periodic and quasi-periodic media. This model is one of the most simple and rich models of classical mechanics and describes a number of physical objects such as dislocations in solids and crystal surfaces.

Asympotic structure of constrained directed random graphs
Aristoff, David (Colorado State Univ.)

KAM for equilibrium solutions of the Frenkel-Kontorova models on quasi-periodic media
Su, Xifeng (Beijing Normal Univ.)

Asymptotic limits of discrete structures
Yin, Mei (Univ. of Denver)

Coarse graining, dynamic renormalization and the kinetic theory of shock clustering
Li, Xingjie Helen (Brown Univ.)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA