Dr Kevin KUOCH
Probability theory ; Interacting particle systems. Mathematical physics. Applications to physics / biology / medical sciences.
Interacting particle systems are a broad class of Markov processes describing the space-time evolution of many, or infinitely many, interacting random walks (so-called particles). My concern is to derive macroscopic phenomena -e.g. PDE-driven motions, phase transitions, ...- assuming that underlying microscopic dynamics are defined by such a system of particles -in or out-of equilibrium-.
Current themes include interacting particle systems in dynamic random environment, ergodic theory of the simple inclusion process.
Publications / Preprints:
 Hydrodynamics of a boundary driven generalised contact process with exchange of particles in infinite volume, with M. Mourragui and E. Saada. Stochastic Processes and their Applications, 127 (1), 135-178 (2017). arXiv journal  Ergodic theory for the symmetric inclusion process, with F. Redig. Stochastic Processes and their Applications, 126 (11), 3480-3498 (2016). arXiv journal  Phase transition for a contact process with random slowdowns. Markov Processes and Related Fields, 22 (1), 53-85 (2016). arXiv journal  Contact process with random slowdowns. Ph.D. thesis, (2014). manuscript ABES
My Curriculum vitae