Colloquium – Xiaofeng Ren, George Washington University

Topic:  Non-hexagonal lattices from a two species interacting system Abstract: A two species interacting system motivated by the density functional theory for triblock copolymers contains long range interaction that affects the two species differently. In a two species periodic assembly of discs, the two species appear alternately on a lattice.  A minimal two species periodic assembly […]

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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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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 – 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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Applied Math Seminar – Brendan Ames, University of Alabama

Title: Exact clustering by semidefinite programming under the heterogeneous planted cluster model. Abstract: Clustering, or the sorting of data into groups of similar items, is a fundamental task in machine learning and statistical analysis. Until recently, most computational methods for clustering relied on heuristics with no theoretical guarantee ensuring that clusters present in the data […]

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Applied Math Seminar – Shibin Dai, University of Alabama

Title: Mean field models for thin film droplet coarsening Abstract: A thin liquid film coating a solid substrate is unstable and the late stage morphology is essentially quasiequilibrium droplets connected by an ultra thin film. Droplets exchange mass and coarsening occurs — the total number of droplets N(t) decreases while the average size of droplets […]

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Fulbright Scholar Alexey Karapetyants Visits Tuscaloosa

On Friday, November 30, 2018, Alexey Karapetyants gave a talk entitled “On some Bergman type spaces of functions of nonstandard growth and related questions” to the UA Department of Mathematics faculty and graduate students. This talk was funded by the Fulbright Foundation through their Outreach Lecturing Fund.  

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