Advances in Applied Mathematical Analysis and Numerical Methods: Ten Years of CoLab
2018-11-05 — 2018-11-08

@ The University of Texas at Austin

The UT Austin | Portugal CoLab Program in Applied Mathematics has been running for 10 years now. It has been remarkably successful in promoting research collaboration and providing mobility opportunities for faculty members, as well as in hosting doctoral and post-doctoral students, especially in the field of applied PDEs. The meeting Advances in Applied Mathematical Analysis and Numerical Methods: Ten Years of CoLab brings together many of the researchers who have been directly or indirectly involved in the program, to report on recent achievements while paving the way for future collaborations. Topics covered range from the analysis of PDEs to more computational aspects and applications in Science and Engineering.

Mathematics doctoral defense

Pedro Fontoura Correia de Oliveira, supervised by José António Maciel Natário (adviser), João Lopes Costa (co-adviser), defended his thesis Cosmic No-Hair for Spherically Symmetric Black Hole Spacetimes, at Anfiteatro Pa3, Pavilhão de Matemática, Instituto Superior Técnico, and was awarded a doctoral degree in Mathematics.

Mini-course on Hydrodynamic limit of particle systems on resistance spaces
2019-01-25 — 2019-02-06

The goal of the mini-course by Joe Chen is to describe the recent progress on establishing scaling limits of many-particle systems on state spaces which are bounded in the resistance metric, a.k.a. "resistance spaces." These include trees, fractals, and random graphs arising from critical percolation. As a concrete example, one can establish scaling limits of the weakly asymmetric exclusion process on the Sierpinski gasket interacting with 3 boundary reservoirs, which generalizes (in a nontrivial way) the analysis on  the unit interval interacting with 2 boundary reservoirs.

The key ideas behind these results will be explained, and connections to  the analysis of (S)PDEs, and issues of non-equilibrium statistical physics,  on resistance spaces will be discussed. From a technical point of view, some novel functional inequalities for the exclusion process that relates to electrical resistance will be addressed, and the way they are used to effect "coarse-graining" in passing to the scaling limits will be described.


Group including Ricardo Schiappa funded by ERC

The ERC Synergy Grant 810573 ReNewQuantum - Recursive and Exact New Quantum Theory, which includes Professor Ricardo Schiappa, has been funded by the European Research Council with a € 10 000 000 grant.

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