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Abstract The goal of this talk is to showcase how we can use stochastic processes to study the geometry of surfaces. More precisely, we use the Brownian loop measure to express the lengths of closed geodesics on a hyperbolic surface and zeta-regularized …

Abstract Combinatorial maps are discrete surfaces obtained as gluings of polygons. The first enumerative results about them were obtained by Tutte in the 1960's. During the 1980-90's, they were intensively studied in theoretical physics (under various …

Abstract In this talk, I will explain how Witten, at the beginning of the 1990's, computed the symplectic volume of the moduli space of flat connections on a principal bundle over a closed compact surface. Witten's main idea was to approximate the …

Abstract Random geometry involves calculating expectations and probabilities on random geometric objects, typically surfaces (hyperbolic surfaces, discrete surfaces, surfaces immersed in a target space, or carrying certain fields, etc.) Remarkably, the …

Abstract Today, the witch is a contemporary myth, far removed from the historical experience of the men and women hunted down for demonic witchcraft in the 15th and 17th   centuries. Should historians be content to reject it, in the name of their …

Abstract Some languages don't have an infinitive  ; others put the subject at the end of their sentence  ; still others have nothing to say about the verb to be. If we look at the Universe and its evolution as a language, would it be fairer to hear the …

Abstract Starting with a reflection on silence, which is a sonic form of shadow, we evoke the birth of a rumor. Not the rumor that slanders or denounces, but that of the first song of the bird that announces and prefigures the arrival of the first light. …

Abstract In this talk I will present several random image models that are else explicit (such as Gaussian models or Boolean models for instance), or more "implicit" (such as images generated by a neural network). I will discuss how these models are used …

Abstract Some geometrical and topological features of the excursions of smooth random fields will be presented, such as their expected Lipschitz-Killing curvatures. The concerned random fields will be Gaussian or Gaussian based, but also shot-noise fields …

Abstract The talk will first introduce unimodular random graphs and give several examples from the theory of point processes, branching processes, random walks and self-similar discrete random sets. Several types of results on these graphs will then be …

Abstract With the aim of overcoming the limitations of traditional nanoscale vectors for the delivery of therapeutic molecules, notably their reduced ability to cross biological barriers and their sometimes inadequate biocompatibility, growing interest …

Abstract It might seem paradoxical to examine in the same session a music conductor (Warad-ilišu) and a diviner (Asqudum)  : but the fact is that these characters, with very different skills, enjoyed the confidence of the king, who gave them missions far …

Abstract In Greek and Roman ethnography, the idea that the geographical environment determines the character of its inhabitants was widespread. It can be found in the Hippocratic corpus, as well as among philosophers (Aristotle) and historians (Herodotus, …

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