Hideki Tsuiki visiting Swansea

Professor Hideki Tsuiki from Kyoto University is visiting Swansea University from 22nd to 24th of January. Yesterday, he gave a talk on Coinductive View of Shadows of 3D Fractals. 

The talk did not only give insight into a fascinating area of research, but was also entertaining. You may want to check out some of Prof. Tsuiki's videos, e.g. https://www.youtube.com/watch?v=VsFD37f-2ck  

Elvira Mayordomo visiting Swansea

Elvira Mayordomo is visiting us this week. Today she gave a talk as a part of our seminar series.

Title: On information theory in geometric measure theory

Abstract

Effective and resource-bounded dimensions were defined by Lutz in 2003 and have proven to be useful and meaningful for quantitative analysis in the contexts of algorithmic randomness, computational complexity and fractal geometry.

The point-to-set principle (PSP) of J. Lutz and N. Lutz (2018) fully characterizes Hausdorff and packing dimensions in terms of effective dimensions in the Euclidean space, enabling effective dimensions to be used to answer open questions about fractal geometry, with already an interesting list of geometric measure theory results.

In this talk I will review the point-to-set principles focusing on recent applications and extensions and presenting open questions as well as further application opportunities.

Theory Away Day

Our Theory Research Group kicked off the year with an inspiring away day, providing the perfect opportunity to reconnect as a team after the festive break. It was a chance to reflect on past successes, align our goals, and spark fresh ideas to drive our work forward in 2025. Here's to an exciting year of collaboration and innovation!