Alexandre Cabot

Alexandre Cabot is a Professor at the Institute of Mathematics of Burgundy (IMB - UMR 5584 CNRS), affiliated with the University of Burgundy and the Faculty of Sciences Mirande. His research focuses on optimization, nonlinear analysis, dynamical systems, and non-regular mechanics. He is part of the Statistics, Probability, Optimization and Control team, contributing to applied mathematics and theoretical analysis.

• Education:
  • Doctoral thesis (2002) on dissipative dynamical systems and optimization at University of Montpellier II under Hédy Attouch.
  • Habilitation à Diriger des Recherches (2006) on nonlinear and multi-speech analysis at University of Avignon.
  • DEA in Mathematics (1998-99), Bachelor’s and Master’s in Mathematics (1992-94), and Agrégation (1994-95) at University of Paris VI.

Research interests include gradient systems, proximal methods, non-smooth analysis, differential inclusions, and nonlinear oscillators. His work explores finite-time stabilization, curvature-dependent optimization, and vibro-impact problems.

Recent publications span topics like inertial forward-backward algorithms, asymptotic behavior of damped equations, and regularization techniques. Collaborations include H. Attouch, P. Frankel, L. Thibault, and others.

Teaching includes courses in mathematical economics, linear regression, differential calculus, and domain decomposition. He has supervised PhD students such as B. Baji, P. Frankel, and E. Vilches, focusing on optimization, non-regular mechanics, and variational analysis.