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Abstract In this talk, we focus on an infinite-dimensional model of repulsively interacting Brownian motions: Dyson Brownian motion (DBM) at soft-edge scaling. It is known that its stationary process is the Airy line ensemble, a collection of …

Résumé Tout au long de cet exposé, il sera question d'effet tunnel dans le cadre de l'équation de Schrödinger avec champ magnétique. Nous évoquerons d'abord les travaux d'Helffer et Sjöstrand des années quatre-vingts dans le cas des potentiels …

Abstract The spectral gap (or bass note) of a closed hyperbolic surface is the smallest non-zero eigenvalue of its Laplacian. This invariant plays an important role in many parts of hyperbolic geometry. The talk will start with a brief introduction to the …

Abstract In the 1990s, Voiculescu developed the theory of non-commutative entropy. For a single non-commutative variable, this entropy reduces to the rate function of the empirical measure of the eigenvalues of a Gaussian matrix. For several …

Abstract It is well-known that the Betti numbers of nonpositively-curved manifolds are (under normalisation of curvature and  some additional assumptions) linearly bounded by their volume. In a joint work with M. Frączyk and S. Hurtado we showed that for …

Résumé Ardashīr I, in the third century claimed to be the king of the Iranians, and by the time of Shapur I the realm was known as Ērānšahr , i.e., the “Empire of the Iranians.” During the Sasanian period, not only the idea of Iran took form, but its …

Résumé A critical step in the emergence of planets within a protoplanetary disk is the accretion of planetesimals - bodies ranging from 1 to 1,000 kilometers in size - formed from smaller solid constituents. However, this process remains poorly …

Résumé Memory of past does not reveal itself to all people in the same manner. For the Sasanians in Late Antiquity (200-651 CE), what they came to profess was their ancient past and for the people they were ruling over, was drastically different from what …

Résumé The Sasanians in late antique began to observe the physical world in several distinct but interrelated ways, largely dependent on their religious and political outlook. These views may have seemed similar, but at other times contradictory Roman and …

Résumé Le système de particules de Keller Segel décrit N Browniens plantaires interagissant via une force attractive en 1/r, où r désigne la distance entre les particules. Une des difficultés et originalités principales de ce système est que les …

Résumé The Zoroastrian texts supply kind of division of the world and the reason for it which is important for understanding the Persian view of the world in Late Antiquity. In the Middle Persian texts, we come across a story which is not present in the …