Let V be a finite dimensional vector space over a field. The collection of all subspaces of V of a fixed dimension can be viewed as a geometric object in the sense that it is a nice projective algebraic variety, known as Grassmann variety. When the base field is finite with q elements, the Grassmann variety can be viewed as the “moduli space” of q-ary linear (error correcting) codes of a fixed length and dimension. Some questions about codes can be profitably studied from this viewpoint. More interestingly, the Grassmann variety itself leads to a special class of linear codes…
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.
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
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.
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.
The Department of Mathematics offers math tutoring in Room C-208 every day from 8:00AM to 5:00PM. HORARIO DE TUTORÍAS 3001 // 3105 // 3018 // 3071 // 3072 // 3026 // 3036 3040 // 3041 // 3042 // 3151 // 3152 // 3153 SEGUNDO SEMESTRE 2023-2024,
Congratulations to Esteban J. Rolón for his successful Dissertation Defense. If the frame below does not scroll on your device click here. [pdf-embedder url=”https://math.uprrp.edu/wp-content/uploads/2024/01/abstract_e_rolon.pdf”]
Congratulations to Richard A. Clare for his successful Dissertation Defense. If the frame below does not scroll on your device click here. [pdf-embedder url=”https://math.uprrp.edu/wp-content/uploads/2024/01/abstract_r_clare.pdf”]
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.