Noticias en español
Dynamics on the thick points of the GFF & Monotonicity in Quadratically Regularized Optimal Transport.
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Read MoreSelfish Learners in Queueing Systems with Small Buffers.
Abstract: Algorithmic Game Theory has provided a good understanding of the impact of strategic behavior on outcomes in many one-shot games, including traffic routing and online auctions. This has been extended to repeated games under the assumption players use some form of (no-regret) learning. However, in many real-life scenarios, rounds are not repetitive and may involve carryover effects from one round to the next. This is the case of budgeted auctions and queuing systems. In this talk, we analyze a queueing system modeling packet routing in data centers. Routers compete for getting...
Read MoreMixed Local and Nonlocal Laplacian without Standard Critical Exponent for Lane-Emden equation
Abstract: —–see attached
Read MoreElementos distorsionados en grupos de difeomorfismos de variedades unidimensionales.
RESUMEN: Se dice que un elemento g de un grupo abstracto G es distorsionado si existe una familia finita S en G que genera g y tal que la longitud de palabra de g^n con respecto a S crece sublinearmente con n. Esta noción muy general de teoría geométrica de grupos es particularmente interesante en el contexto de grupos de transformaciones, ya que provee obstrucciones a que ciertos grupos actúen fielmente en ciertos espacios (dotados de ciertas estructuras). En esta charla, nos interesaremos en los grupos de homeo/difeomorfismos de la recta (con soporte compacto) y de la circunferencia, y...
Read MoreNonlinear Reach Controllability in Two-Dimensional Simplices.
Abstract: This talk addresses the problem of constrained reach controllability in two dimensions. Considering a nonlinear controlled dynamics (given by an ODE) within a two-dimensional simplex, the goal is to design a feedback control—either continuous or piecewise continuous—that can steer any point inside the simplex to the outside, subject to the additional restriction that exit is only allowed through one of its faces. We will present sufficient conditions to determine whether a given control constitutes a solution, as well as a result ensuring the existence of solutions for affine...
Read MoreEvolution of viscous vortex filaments.
Abstract: Vorticity filaments (one-dimensional structures where vorticity concentrates) play a central role in understanding turbulence generation and energy transfer in fluids. In this talk, I will discuss about how these structures evolve in a viscous fluid. I will consider initial data given by a vorticity measure supported on an infinite smooth curve in R^3. I will show that, for short enough time, the solution consists of a leading-order Lamb–Oseen vortex centered around a curve that evolves according to the binormal flow, a second-order term reflecting the local curvature of the...
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