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83 papers · 1 filter
Local universality of the number of zeros of random trigonometric polynomials with continuous coefficients
Jean-Marc Azaïs, Federico Dalmao, José León +2
Let be a random trigonometric polynomial of degree with iid coefficients and let denote the (random) number of its zeros lying in the compact interval $I\subset\…
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach
Thomas Blanc, Mihai Bostan, Franck Boyer
We perform the asymptotic analysis of parabolic equations with stiff transport terms. This kind of problem occurs, for example, in collisional gyrokinetic theory for tokamak plasma…
Moduli space of cubic Newton maps
Pascale Roesch, Xiaoguang Wang, Yongcheng Yin
In this article, we study the topology and bifurcations of the moduli space of cubic Newton maps. It's a subspace of the moduli space of cubic rational maps, carryi…
Exponential Stability of Subspaces for Quantum Stochastic Master Equations
Tristan Benoist, Clément Pellegrini, Francesco Ticozzi
We study the stability of quantum pure states and, more generally, subspaces for stochastic dynamics that describe continuously--monitored systems. We show that the target subspace…
Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields
Asher Auel, Marcello Bernardara
We study the birational properties of geometrically rational surfaces from a derived categorical point of view. In particular, we give a criterion for the rationality of a del Pezz…
Predicting and controlling the Ebola infection
Amira Rachah, Delfim F. M. Torres
We present a comparison between two different mathematical models used in the description of the Ebola virus propagation currently occurring in West Africa. In order to improve the…