Title: Analysis of hydrodynamics of nematic liquid crystals Abstract: The orientation of Liquid crystal molecules has their preferable direction and exhibits an optical structure. Liquid crystal can also been viewed as an intermediate state between the liquid and the solid states. Given the importance, people have studied liquid crystals from the view point of modeling, computation, analysis, and engineering. In
Title: Bandit change-point detection and its application Abstract: We investigate the problem of bandit change-point problem when monitoring high-dimensional streaming data in resources constrained environments, where one has limited capacity in data acquisition, transmission or processing, and needs decide how to smartly observe which local components or features of high-dimensional streaming data at each and
Title: Harmonic Conjugation in Variable Exponent Harmonic Bergman Spaces Abstract: I will talk about the harmonic conjugation in variable harmonic Bergman space. In the first part of the talk, I'll provide an overview of the main result for constant exponent spaces. Then I'll illustrate our latest research on the boundedness of harmonic conjugation in variable harmonic Bergman
Title: Combinatorial, topological, and computational approaches to DNA self-assembly. Abstract: Applications of immediate concern have driven some of the most interesting questions in the field of graph theory, for example graph drawing and computer chip layout problems, random graph theory and modeling the internet, graph connectivity measures and ecological systems, etc. Currently, scientists are engineering
Mathematical Aspects of Nanoscale Self-Assembly Self-assembly is a fundamental process for creation of both biological and synthetic materials. The latter are being employed in important biotechnological applications like drug delivery, as well as forming the basis for molecular sized machines. Recent advances in nanoscale fabrication in polymer systems, in particular, has lead to growing interest
Title: Regularity Estimates for PDE with Data in Non-Standard Spaces Abstract: In this talk I present recent joint work with D. Cruz-Uribe. Given a weak super-solution $u\in W^{1,2}_0(\Omega)$ of the elliptic equation $$-\textrm{Div}\left(Q(x)\nabla u(x) \right) = f(x)$$ in a smooth domain $\Omega$ of $\mathbb{R}^n$ with $f$ in the Birnbaum-Orlicz space $L^A(\Omega)$ ($A(t) = t^{n/2}\log^\sigma(e+t)$ with
Title:Â Sparse domination of commutators via matrix techniques Abstract:Â In this talk, we will show how one can obtain sparse domination of iterated commutators from a convex body domination of an operator via a simple algebraic trick. Â Time permitting, we discuss consequences and related results, such as a bumped Orlicz BMO type sufficient condition for the two