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)
Probability
Stochastic dynamical systems
Combinatorics
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
Quasi-reversible bullet models.
ArXiv : 2410.00750, 2024.
Random trees with local catastrophes: the Brownian case.
With Ariane Carrance and Nicolas Curien.
ArXiv : 2401.06770, 2024.
Ergodicity of the hard-core PCA with a random walk method.
In AUTOMATA 2025.
Siblings in d-dimensional nearest neighbour trees.
In Bernoulli 31 (2), 1300-1324, 2025.
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Unpublished, partially covered by Reversible Poisson-Kirchhoff systems.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.
Calculus
Probability and Statistics
Others (Graph theory, Numerical Analysis, Dynamical System, Partial Differential Equations)
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)
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 : 513 in IUT of Sceaux
Adress :
8 Av. Cauchy
92330 Sceaux