Administration of research

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1 Julian Tugaut Resume Experience 01/12/2015 Habilitation, Saint-Étienne Associate Professor, Télécom - Institut Camille Jordan, Saint-Étienne (France) Postdoc, Bielefeld (Germany). two months Guest, Bielefeld (Germany). Research 06/07/2010 PhD, Nancy ATER, (Research and Teaching), Nancy (France) Allocataire-Moniteur, Research and Teaching, Nancy (France) Normalien, Cachan (France). Administration of research Referee Electronic Communications in Probability, Stochastics, Bernoulli, Journal of Mathematical Physics, European Physical Journal, Mathscinet SIAM Journal on Control and Optimization,... Diffusion Writer for the press review of the website Image des Maths, Participation to Mathalyon... Organisation I organize the workgroup APSSE (Amis des Probabilités et des Statistiques à Saint-Étienne), I organized a workshop on gaussian processes on 6 and 7th of November 2017 ResponsabilitiesElected member of the site comity of ICJ Saint-Étienne, Head of the funded project Modèles aléatoires et applications at University Jean Monnet, Nominated member of the PhD comity of ICJ Saint-Étienne

2 Published or to appear articles ) The Vlasov-Fokker-Planck equation in non-convex landscape: convergence to equilibrium, (10 pages), with H. Duong. Electronic Communications in Probability ) Finiteness of entropy for granular media equations, (9 pages). 17) Uniform propagation of chaos properties of Ensemble Kalman- Bucy particle filters, (56 pages), with P. Del Moral. The Annals of Applied Probability ) On the stability and the uniform propagation of chaos of extended ensemble Kalman-Bucy filters, (39 pages), with P. Del Moral and A. Kurtzmann. SIAM Journal on Control and Optimization 15) Exit problem of McKean-Vlasov diffusion in double-wells landscape, (10 pages). Journal of Theoretical Probability 14) Mean-Field limit versus small-noise limit for some interacting particle systems, (19 pages), with S. Herrmann. Communications on Stochastic Analysis 13) A simple proof of a Kramers type law for self-stabilizing diffusions, (8 pages). Electronic Communications in Probability 12) Exponential rate of convergence independent from the dimension in a mean-field system of particles, (12 pages), with B. Dyda ) Stationary measures of the Vlasov-Fokker-Planck equation: existence, characterization and phase-transition, (8 pages), with H. Duong. Applied Mathematics Letters ) Captivity of mean-field particle systems and the related exit problems, (17 pages). 9) Phase transitions of McKean-Vlasov processes in double-wells landscape, (28 pages), Stochastics 8) Self-stabilizing processes in multi-wells landscape in R d - Convergence, (22 pages), Stochastic processes and their applications

3 2012 7) Exit problem of McKean-Vlasov diffusions in convex landscape, (26 pages), Electronic Journal of probability 6) Self-stabilizing processes in multi-wells landscape in R d - Invariant probabilities, (23 pages), Journal of Theoretical Probability 5) Convergence to the equilibria for self-stabilizing processes in double-well landscape, (34 pages), The Annals of Probability 4) Self-stabilizing processes: convergence rate for stationary measures in the small noise limit and application to the uniqueness problem, (29 pages), with S. Herrmann. ESAIM Probability and Statistics ) McKean-Vlasov diffusions: from the synchronization to the asynchronization, (4 pages), Comptes Rendus Mathématiques ) Stationary measures for self-stabilizing processes: asymptotic analysis in the small noise limit, (30 pages), with S. Herrmann. Electronic Journal of probability 1) Non-uniqueness of stationary measures for self-stabilizing processes, (32 pages), with S. Herrmann. Stochastic processes and their applications Preprints 20. Uniform propagation of chaos and creation of chaos for a class of nonlinear diffusions, (31 pages) with P. Del Moral. 21. On the stability and the exponential concentration of extended Kalman-Bucy filters, (33 pages) with A. Kurtzmann and P. Del Moral. 22. Freidlin-Wentzell LDPs in path space for McKean-Vlasov equations and the Functional Iterated Logarithm law, (41 pages) with G. Dos Reis and W. Salkeld. 23. A simple proof of a Kramers type law for self-stabilizing diffusions in double-wells landscape, (11 pages). 24. Exit-time of granular media equation starting in a local minimum, (7 pages). 25. Convergence in Wasserstein distance for a self-stabilizing diffusion in a double-well landscape, (4 pages). 26. Exit-time of mean-field particles system, (13 pages).

4 Works in progress 27. A stochastic algorithm based on repulsion, (11 pages) with A. Kurtzmann and P. Del Moral. 28. A Kramers type law for self-stabilizing diffusions without convexity assumption, (13 pages) with S. Herrmann. 29. First collision time (and the related collision location problem) of two McKean-Vlasov diffusions, (12 pages) with J-F. Jabir. 30. Regularization of Fisher information for inhomogeneous diffusions, (5 pages) with Y. Dabrowski. 31. A Kramers type law for self-interacting diffusions, (15 pages) with A. Kurtzmann and P. Del Moral. 32. Coupled McKean-Vlasov diffusions: wellposedness, propagation of chaos and invariant measures, (12 pages) with H. Duong. 33. Propagation of chaos and long Time behaviour of a one-dimensional McKean-Vlasov dynamic with repulsive interactions, (3 pages) with J-F. Jabir. 34. Characterization of the basins of attraction for the granular media equation under synchronization, (2 pages). 35. Exit problem of periodic inhomogeneous diffusions, with S. Herrmann. 36. On the invariant probabilities of a conditional McKean Lagrangian stochastic model, with M. Ottobre. Oral Communications 2018: Dijon (seminary), Nantes (seminary), Angers (seminary), Marseille (seminary), Rennes (workshop). 2017: Poitiers (seminary), Versailles (seminary), Chambéry (seminary), Le Mans (seminary), Nancy (seminary), Marseille (seminary), Santiago (seminary). 2016: Paris 5 (seminary), Caen (seminary), Saint-Étienne (three workgroups), Paris 13 (seminary), Sinaïa (10h M2 course in Summer school in Romania), Edinburg (seminary), Grenoble (seminary), Besançon (seminary), Amiens (seminary). 2015: Congrès SMAI, Nancy (seminary), Bonn (two workshops). 2014: Saint-Étienne (workgroup), Lyon (workshop and seminary), Clermont-Ferrand (seminary). 2013: Dijon (workshop and seminary), Saint-Étienne (conference and workgroup), Lyon (two seminaries), Bielefeld (workgroup), Münster (seminary), Berlin (seminary). 2012: Bielefeld (two workgroups and two seminaries), Polytechnique (seminary), Nantes (seminary), Paris 5 (seminary), Clermont-Ferrand (seminary). 2011: Tours (seminary), Institut Henri Poincaré (workshop), Strasbourg (seminary), Toulouse (seminary), Rennes (seminary), Bordeaux (seminary), Lille (seminary), Rouen (seminary), Paris 12 (seminary), Bonn (conference), Berlin (seminary), Nice (seminary), Bielefeld (two workgroups). 2010: Bielefeld (one workshop, one seminary and two workgroups), Bonn (seminary), Journées de probabilités. 2009: Journées de probabilités, Congrès SMAI, Nancy (seminary). 2008: Nancy (seminary), Aussois.

5 Teaching : Associate professor at Télécom Saint-Étienne : hours Lectures/Tutorials. Probability, Statistics, General Maths, Treatment of deterministic signals. L : Associate professor at Télécom Saint-Étienne : hours Lectures/Tutorials. Probability, Statistics, General Maths, Operationnal research, Supervision of stages. L3/M1/M : Associate professor at Télécom Saint-Étienne : hours Lectures/Tutorials. Probability, Statistics, General Maths, Operationnal research, Supervision of stages, Supervision of students. L3/M1/M : Associate professor at Télécom Saint-Étienne : hours Lectures/Tutorials. Probability, Statistics, Signals, General Maths, Supervision of stages, Supervision of students. L3/M1/M : Associate professor at Télécom Saint-Étienne : 211 hours Lectures/Tutorials. Probability, Statistics, Signals, General Maths, Supervision of stages, Supervision of students. L3/M1/M : ATER at University Henri Poincaré : 96 hours Tutorials/Oral examinations. Algebra, Analysis, Probability, Statistics. L1/L : Monitorat at INPL : 192 hours Tutorials/Practical Works. Algebra, Analysis. L1/L2/L3. Skills Languages French (mother tongue), English (Read, written, spoken), German (Basic) Softwares Maple, L A TEX Operating System Windows, Linux ProgrammationC/C++, php

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