Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Probability seminar

Event Type

Seminar/Symposium

Sponsor

Xuan Wu

Location

Altgeld 143

Date

Sep 30, 2025 2:00 pm

Speaker

Andres Contreras Hip

Contact

Xuan Wu

E-Mail

xuanzw@illinois.edu

Phone

612-876-6343

Originating Calendar

General Events - Department of Mathematics

Title: Gaussian fluctuations for the open one-dimensional KPZ equation

Abstract: In this talk we consider the open one-dimensional KPZ equation on the interval $[0,L]$ with Neumann boundary conditions. For $L \sim t^{\alpha}$ and stationary initial conditions, we obtain matching upper and lower bounds on the variance of the height function for $\alpha \in [0,\frac23]$ for different choices of the boundary parameters. Additionally, for fixed $L$ and an arbitrary probability measure as initial conditions, we show Gaussian fluctuations for the height function as $t\to \infty$. Joint work with Sayan Das and Antonios Zitridis.

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