Noticias en español
Effective Mass of the Fröhlich Polaron: Recent Progress and Open Question.
Resumen: Landau and Pekar (in 1948) and Spohn (in 1987) conjectured that the effective mass $m(\alpha)$ of the Fröhlich Polaron at coupling parameter $\alpha$ grows as $\alpha^4$ as $\alpha\to\infty$ with an explicit pre-factor. In a recent joint work with C. Mukherjee, M. Sellke, and S. R. S. Varadhan, we prove the lower bound $m(\alpha) \geq C \alpha^4$, which matches (up to a constant) the corresponding sharp upper bound shown recently by combining the results from Brooks and Seiringer (2022) and Polzer (2023).
Read MoreAll convex bodies in the subdifferential of a locally Lipschitz function.
Abstract: We construct a differentiable locally Lipschitz function f in R^d with the following property: for every convex body K of R^d, there exists x in R^d such that the subdifferential of f at x coincides with K (in the sense of limiting or Clarke). We show that our technique can be further refined to recover all compact connected subsets with nonempty interior in the image of the limiting subdifferential of a locally Lipschitz function. We end this talk with a brief discussion about how large the set of functions with the aforementioned property is.
Read MoreRigidez suave para difeomorfismos de Anosov en R3
RESUMEN Una clase interesante de sistemas dinámicos a estudiar es la de los difeomorfismos de Anosov. Esta clase presenta un comportamiento complejo en cuanto a sus órbitas. Es sabido que estos son estructuralmente estables, es decir, si perturbamos suavemente el sistema original esta nueva dinámica es Anosov y conjugada bajo un homeomorfismo bi-Hölder. En esta charla vamos a discutir que condiciones uno precisa para que dos difeomorfismos de Anosov conjugados bajo un homeomorfismo sean efectivamente conjugados suavemente, es decir, que esta conjugación sea suave.
Read MoreAnalysis of the survival time of the SIRS process via expansion.
Abstract: We study the SIRS process—a continuous-time Markov chain modelling thespread of infections on graphs. In this model, vertices are eithersusceptible, infected, or recovered. Each infected vertex becomesrecovered at rate 1 and infects each of its susceptible neighbors independently at rate~$\lambda$, and each recovered vertex becomes susceptible at a rate~$\rho$, which we assume to be independent of the graph size. A central quantity of the SIRS process is the time until no vertex is infected, known as the survival time. Surprisingly though, to the best of our knowledge, all...
Read MoreA Statistical framework for the modeling of continuous phenotypical progression in Alzheimer’s Disease.
Abstract: Throughout an organism’s life, many biological systems transition through complex biophysical processes. These processes serve as indicators of the underlying biological states. Inferring these latent unobserved states is a key problem in modern biology and neuroscience. Unfortunately, in many experimental setups, we can, at best, obtain snapshots of the system at different times for different individuals, and one major challenge is reconciling those measurements. This formalism is particularly relevant in the study of Alzheimer’s Disease (AD) progression, in which we observe in...
Read MoreA journey through discourses and practices.
Summary: Our experiencing and, thus, our practices are co-enabled by entwined fields of knowledge, fields of power and forms of subjectivity. Through the articulation of different research pieces, and one protagonist, in this SIPo session we will tackle the following question: how free are we? Our protagonist is a student enrolled in Chile’s Secondary Technical VocationalEducation and Training (S-TVET) system. All research pieces used to drive then narrative of the presentation are the result of a postdoctoral research endeavor. These include research articles published in indexed...
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