Ideas Seminar

The modeling and computational hurdles in transitioning from engineered to biological polymeric systems

KPZ Fluctuations of Sticky Brownian Motion Sticky Brownian motion is a type of diffusion consisting of many interacting particles, where each individual particle behaves as standard Brownian motion but collectively the different particles may stick together and separate repeatedly. The … Read more

Title: Graph representation learning for single-cell genomics Abstract: Single-cell RNA sequencing measures gene expression at an unprecedented resolution and scale and allows the analysis of cellular phenotypes which was not possible before. In this context, graphs occur as a natural … Read more

Large deviations in data science: some initial examples   The theory of large deviations has become a cornerstone of modern probability theory. It has proven particularly useful in the analysis and design of efficient stochastic numerical methods. Examples include methods … Read more

Erik Bates Department of Mathematics North Carolina State University   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.  … Read more

Ted Cox Department of Mathematics Syracuse University

Grigory Terlov Department of Statistics and Operations Research University of North Carolina at Chapel Hill   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 … Read more

Baris Ata Operations Management University of Chicago Booth School of Business