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Applied Math Seminar – Yuhui Chen, University of Alabama
Applied Math Seminar – Yuhui Chen, University of Alabama
Title: Bayesian Nonparametric Models and Its Applications Abstract: Polya tree priors are random probability measures that are easily centered at standard parametric families, such as the normal. As such, they provide a convenient avenue toward creating a parametric/nonparametric model for data. Briefly, we center a Polya tree at an initial parametric guess on data; then
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Analysis Seminar – Christoph Fischbacher, University of Alabama at Birmingham
Analysis Seminar – Christoph Fischbacher, University of Alabama at Birmingham
Title: Area Laws for the Entanglement in the XXZ spin chain Abstract: The question on how to rigorously define and prove Many-Body-Localization (MBL) phenomena has attracted significant interest over the recent years. In this talk, we will give a physical motivation for the so-called entanglement entropy (EE) and explain why an area law for the EE can be interpreted
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Applied Math Seminar – Shibin Dai, University of Alabama
Applied Math Seminar – Shibin Dai, University of Alabama
Title: Degenerate Diffusion in Phase Separations Abstract: Phase separations are widely observed phenomena in materials science. One model of phase separation is the Cahn-Hilliard equation with a smooth double-well potential, and with phase-dependent diffusion mobilities. The latter is a feature of many materials systems and makes the analysis and accurate numerical simulations challenging. In this
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Research Talk – Xin Zhou, University of California, Santa Barbara
Research Talk – Xin Zhou, University of California, Santa Barbara
Title:Â Multiplicity One Conjecture in Min-max theory Abstract:Â I will present a recent proof of the Multiplicity One Conjecture in Min-max theory. This conjecture was raised by Marques and Neves as the key step to establish a Morse theory for the area functional. It says that in a closed manifold of dimension between 3 and 7 with
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Analysis Seminar – Joe Renzi, University of Alabama
Analysis Seminar – Joe Renzi, University of Alabama
Title: Two-sided Mullins-Sekerka flow does not preserve convexity, after Uwe F. Mayer Abstract: The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the
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