ISQGD Distinguished Lectures
This page presents upcoming Distinguished Lectures organized by the international society in Quantization, Geometry, and Dynamics. Each lecture record includes the speaker information, affiliation, event time in US Central Time, local-time access link, Zoom meeting link, and the lecture title and abstract when available.
Upcoming Distinguished Lectures
ISQGD Distinguished Lectures
Below are the upcoming ISQGD Distinguished Lectures, listed in chronological order. Each lecture entry includes the speaker, affiliation, date and time, local-time access link, Zoom meeting link, and the title and abstract whenever available.
Affiliation: Department of Mathematics, Uppsala University, Sweden
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Title: Dimension theory in one-dimensional random geometry
Abstract:
A result of Benjamini and Schramm (2008) shows that the Hausdorff dimension of sets in one-dimensional random geometry given by multiplicative cascades satisfies an elegant formula depending only on its dimension in Euclidean geometry and global properties of the randomness involved. This confirms a mathematical physics conjecture on scaling properties, known as the KPZ equation. I will give an overview of the topic and provide a recent result with K. Falconer, where we show that this only holds for very regular objects when we replace the Hausdorff by the box-counting dimension. In particular, I will show that the KPZ equation fails for the associated scaling properties.