Homepage
Jérôme CASSE,
Assistant Professor of Mathematics in the University Paris-Saclay
Assistant Professor of Mathematics in the University Paris-Saclay
Research : Probability and statistics team of IMO (Mathematical Department of University Paris-Saclay)
Enseignement : IUT of Sceaux (School of Marketing and Management of University Paris-Saclay),
Coorganisor of the probability seminar of IMO
Research domains
Probability
Stochastic dynamical systems
Combinatorics
Keywords
Probabilistic Cellular Automata (PCA)
Integrable systems:
8-vertex model
Generalised Last Passage Percolation (GLPP)
Poisson-Kirchhoff System (PKS)
Totally Asymmetric Simple Exclusion Process of order 2 (TASEP of order 2)
Nearest neighbour trees
Stable processes iterated ad libitum
Publications
Prepublished
Random trees with local catastrophes: the Brownian case.
With Ariane Carrance and Nicolas Curien.
ArXiv : 2401.06770, 2024.
Siblings in d-dimensional nearest neighbour trees.
ArXiv : 2302.10795, 2023, accepted in Bernoulli
Published
Ergodicity of some probabilistic cellular automata with two letters alphabet via random walks.
In Electronic Journal of Probability 28 (87), 1-17, 2023.
Reversible Poisson-Kirchhoff systems.
With Alexandre Boyer, Nathanaël Enriquez and Arvind Singh.
In Bulletin de la SMF 151 (1), 37-89, 2023.
Iterated Brownian motion ad libitum is not the pseudo-arc.
With Nicolas Curien.
In Confluentes Mathematici 13 (1), 35-42, 2021.
Probabilistic Cellular Automata with memory two: invariant laws and multidirectional reversibility.
With Irène Marcovici.
In Annales Henri Lebesgue 3, 501-559, 2020.
Generalised Last Passage Percolation : study on cylinders.
ArXiv : 1912.00645, 2019.
Unpublished, partially covered by Reversible Poisson-Kirchhoff systems.
Edge correlation function of the 8-vertex model with a+c=b+d (or a+d = b+c).
In Annales de l’Institut Henri Poincaré D 5 (4), 557-619, 2018.
Processes iterated ad libitum.
With Jean-François Marckert.
In Stochastic processes and their applications 126 (11), 3353-3376, 2016.
Probabilistic cellular automata with general alphabets possessing a Markov chain as an invariant distribution.
In Advances in Applied Probability 48 (2), 369-391, 2016.
Markovianity of the invariant distribution of probabilistic cellular automata on the line.
With Jean-François Marckert.
In Stochastic processes and their applications 125 (9), 3458-3483, 2015.
Only the source’s and sink’s neighborhood matters: convergence results for unicast and multicast connection on random graphs and hypergraphs.
With Muriel Médard.
In ValueTools, 2013.
Broadcasting XORs: On the Application of Network Coding in Access Point-to-Multipoint Networks.
With Kerim Fouli, Ivan Sergeev, Muriel Médard and Martin Maier.
In MACOM, 25–36, 2012.
Teaching
Subject
Calculus
Probability and Statistics
Others (Graph theory, Numerical Analysis, Dynamical System, Partial Differential Equations)
Institutions
IUT GEA (Management of Companies and Administrations) of Sceaux (192h/year since September 2021)
NYU Shanghai (chinese campus of New York University) (around 80h/year during 3 years)
Mines Nancy (a French engineering school) (192h)
Licence MIASHS (Mathematics and Computer Sciences applied to Humanities and Social) of Bordeaux (64h)
IUT HSE (First and second year students in Hygiene, Safety et Environment) of Bordeaux (64h)
Contact
Email : jerome.casse.math@gmail.com ou jerome.casse@universite-paris-saclay.fr
Phone : +33 (0)6 42 85 63 62 or +33 (0)1 69 15 77 95 (office)
Office : 3E3 in Laboratoire Mathématiques d'Orsay (LMO)
Adress :
Bâtiment 307, rue Michel Magat
Faculté des Sciences d’Orsay, Université Paris-Saclay
F-91405 Orsay Cedex
Email : jerome.casse.math@gmail.com ou jerome.casse@universite-paris-saclay.fr
Phone : +33 (0)6 42 85 63 62
Office : 401 in IUT of Sceaux
Adress :
8 Av. Cauchy
92330 Sceaux