Ergodic Theory Seminar – I. Assani (UNC)
Phillips Hall 332Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Collatz map as a power-bounded non-singular transformation Ergodic Theory Seminar Website
Shape-morphing modes for solving PDEs with conserved quantities Abstract. I introduce shape-morphing modes for efficient and scalable approximation of solutions to time-dependent PDEs. Numerical methods typically assume the solution of a PDE as the linear combination of static modes, such as … Read more
Slice-Matching for Measure Transport: Approximation and Iterative Schemes Abstract: Transporting and estimating probability measures are fundamental tasks in various generative modeling methods like normalizing flows. An equally crucial aspect is having a suitable metric to gauge model performance and guide algorithm … Read more
Eigenfunction concentration and Weyl Laws via geodesic beams Abstract. A broad spectrum of physical phenomena, including the localization of quantum particles, is governed by the behavior of Laplace eigenvalues and eigenfunctions. This behavior is intrinsically connected to that of the … Read more
Asymptotic Preserving Numerical Methods for Multiscale Problems Abstract. Many phenomena in nature exhibit multiscale behaviors, which can be rather different in character. These phenomena can be categorized into two groups. On the one hand, there are problems featuring localized singularities, … Read more
Scientific Machine Learning for Computational Wave Imaging Problems: from Carbon Zero Emissions to Breast Cancer Detection Abstract. AI for Science (aka “AI4Science”) is currently one of the most prominent topics in the machine learning community. In this talk, I will focus … Read more
Limited space available so sign up now! https://forms.gle/r2WrLTYZTszRQfLZ8 Given the success of the faculty lightning talks in January, the faculty will repeat this, but we are also creating an event for you the graduate students to develop and practice your “elevator pitch” … Read more
The mathematics and mechanics of bodies described by implicit constitutive equations Abstract. After first discussing the need for implicit constitutive relations to describe the response of both solids and fluids, I will then discuss applications wherein such implicit constitutive relations … Read more
Mode: In-Person Title: Quantitative Diffeerentiation Abstract: Abstract: Quantitative differentiation deals with the behavior of function or geometric object at all locations and on all scales. We will give a relatively short elementary proof of the main theorem in the simplest … Read more
Mode: In- Person Title: Hodge theoretic generalizations of Satake-Baily-Borel Abstract: There are many ways to compactify a locally hermitian symmetric space. Distinguished amongst this is a minimal compactification due to Satake. I will give a general audience introduction to a … Read more
Mode: In-Person Title: Modeling cell dynamics: from molecules to macrostructures Abstract: TBA
Mode: TBA Title: General-relativistic viscous fluids Abstract: In this talk, we will review some recent developments at the intersection of mathematics and physics regarding theories of relativistic fluids with viscosity. The discovery of the quark-gluon plasma that forms in heavy-ion … Read more