Title: Introduction to Stein’s method Abstract: In this lecture series I will give a gentle introduction to Stein's method for proving distributional convergence. In 1972 Charles Stein combined Gaussian integration by parts with a certain “noise robustness” property of a … Read more
Title: Introduction to Stein’s method Abstract: In this lecture series I will give a gentle introduction to Stein's method for proving distributional convergence. In 1972 Charles Stein combined Gaussian integration by parts with a certain “noise robustness” property of a … Read more
Title: The Magic of Redirection and Copying in Complex Networks Abstract: We discuss unusual features of networks that grow by: (a) link redirection and (b) node copying. Building on the random recursive tree, redirection naturally leads to linear preferential attachment, … Read more
Women in Networks Luncheon in Fall 2023 (RTG) Time: 12:30 – 2:00 pm, Oct 31, 2023 Location: Carolina Union (Graham Student Union) Room 3206AB (209 South Rd, Chapel Hill, NC 27599) Support: This luncheon is supported by RTG grant (NSF … Read more
Title: Fractal Geometry of the Parabolic Anderson Model in higher dimension. Abstract: Parabolic Anderson model (PAM) is one of the prototypical frameworks for modelling conduction of electrons in crystals filled with defects. Intermittency of the peaks of the PAM is … Read more
Title: Lagrangian Mean Curvature Equations Abstract: In this talk, we will introduce the special Lagrangian and Lagrangian mean curvature type equations. We will derive a priori interior estimates for the Lagrangian mean curvature equation under certain natural restrictions on the … Read more
Title: The Busemann process for (1+1)-dimensional directed polymers Abstract: Busemann functions have been decidedly instrumental in advancing our understanding of first-passage percolation and last-passage percolation, both in general and exactly solvable cases. The Busemann theory has been less developed, however, … Read more
Women in Networks Luncheon in Spring 2024 (RTG) Time: 12:30 – 1:45 pm, Mar 19, 2024 Location: Carolina Union (Graham Student Union) Room 3206AB (209 South Rd, Chapel Hill, NC 27599) Support: This luncheon is supported by RTG grant … Read more
Title: The Busemann process of (1+1)-dimensional directed polymers Abstract: Directed polymers are a statistical mechanics model for random growth. Their partition functions are solutions to a discrete stochastic heat equation. This talk will discuss the logarithmic derivatives of the partition … Read more
Title: Complete convergence for the q-voter model in two dimensions Abstract:The q-voter model is a spin-flip system in which the rate of flipping to type i is given by the q th power of the proportion of nearest neighbours in … Read more
Title: Random optimization problems at fixed temperatures Abstract: We consider a class of disordered mean-field combinatorial optimization problems, focusing on the Gibbs measure, where the inverse temperature does not vary with the size of the graph and the edge weights … Read more
Title: To be determined Abstract: To be determined
