Author: ADMIN

In the first part of the talk, some known results on the explicit distributions of integral functionals of Brownian motion will be shown, as well as some open problems related to them. In the second part, it will be shown how such functionals emerge in the finite-time blowup problem of systems of Stochastic Partial Differential Equations (SPDEs) and the open problems in this field of stochastic calculus.

Read More

The Department of Mathematics announces two Tenure Track positions, one in Discrete Mathematics and another in Numerical Analysis. Nevertheless, exceptional candidates in any area of Mathematics could also be considered. Position A Position B

Read More

Interior controllability properties of multi-d fractional pdes: what is the state of the art? We make a complete analysis of the interior controllability/orbservability properties of multi-D fractional partial differential equations. We show what is so far known and what is still unknown.

Read More

We propose results that relate the two contexts. The problems that we discuss arise from the mathematical description of elastic materials displaying heterogeneous incompatibilities of strains that may be associated with growth, swelling, shrinkage, plasticity, etc. Our results and methods display the interaction of nonlinear pdes, geometry, analysis and mechanics of materials in the prediction of patterns and shape formation.

Read More

Academic Class Schedule — January 2024 The class schedule is subject to changes. Below is the version of the schedule as of November 26, 2023. The document has several pages. If the frame below does not scroll on your device click here.

Read More

The Algebraic Structures in Topology is a conference series that meets every two years in San Juan, Puerto Rico and is partially supported by the National Science Foundation, Purdue University, and the Institute of the Mathematical Sciences of the Americas at the University of Miami. The conferences will feature a variety of events focusing on recent developments in algebraic topology and their applications to geometry, physics, and data science. The next iteration of the series will occur on June 5 – June 14, 2024. This event will have three parts. From June 5th to June 7th it will feature three…

Read More