I am currently in a postdoc position at INRIA Rennes-Bretagne Atlantique, as part of project-team CIDRE.
I am interested in modelling the dynamic behaviour of blockchains and analyzing their performance.
In collaboration with Emmanuelle Anceaume and Bruno Sericola, I am particularly interested in the Sycomore blockchain previously proposed by the team (see here).
On the other hand, in collaboration with Yves Mocquard (as well as E. Anceaume and B. Sericola), I am also interested in rumour propagation models, as well as strongly related protocols known as population protocols.
Topics of interest:
Probability: Markov chains, hitting times, branching processes, etc.
Protocols: blockchains, population protocols.
Y. Mocquard, F. Robin, E.Anceaume & B. Sericola,
"Average-based Population Protocols : Explicit and Tight Bounds of the Convergence Time".
F. Robin, F. Clément & R. Yvinec, "Stochastic nonlinear model for
somatic cell population dynamics during ovarian follicle activation".
Submitted in Journal of Mathematical Biology, February 2019. Available on Arxiv here.
F. Clément, B. Laroche & F. Robin, "Analysis and numerical simulation
of an inverse problem for a structured cell population dynamics model",
Mathematical Biosciences and Engineering, 2019, 16(4): 3018-3046. Available here.
F. Clément, F. Robin & R. Yvinec, "Analysis and calibration of a
linear model for structured cell populations with unidirectional motion: Application to
the morphogenesis of ovarian follicles",
SIAM J. Appl. Math., 2019, Vol.79, No. 1, pp. 207-229. Available here.
The objective of my thesis where to model and analyze the cell population dynamics involved during the early development of ovarian follicles. It was co-supervised by Frédérique Clément (INRIA Saclay-Ile de France) and Romain Yvinec (INRA Centre Val-de-Loire).
F. Robin, Modeling and analysis of cell population dynamics: application to the early development of ovarian follicles. Thesis defended on Septembre, 26th, 2019, at INRIA Saclay-Ile de France.
key-words: cell population dynamics; multi-type deterministic and stochastic renewal process; first hitting time; long time behavior; inverse problem; parameter calibration
TA (77,5h): bachelor level mathematics (Analysis, Algebra, Probability, Python) at Sorbonne Université, Paris.
TA (32,5h): bachelor level mathematics (Analysis, Algebra, Probability, Python) at Sorbonne Université, Paris.
Teacher (85h): third year bachelor (Analysis, Algebra) at Sorbonne Université, Paris.
Participation to the Ninth Industrial Problem Solving Workshop, Montréal, Canada. August 2019 (here).
The problem, proposed by Air Canada, was to predict the probability of flight spilling (subject title : Flight Spill Detection). It was supervised by François Bellavance (HEC Montréal) & Olivier G. Leblanc (Air Canada).
``Semaine Maths-entreprise'', Poitiers, May 2018.
The problem, proposed by Orange Lab, was to estimate the shortest path distance D on a random map, that models large fixed access networks, from the distance as the crow flies distance d.
The (random) street network is generated by stochastic geometry techniques (Voronoi, Delaunay or Line Poisson paving) and is considered known.
This problem was supervised by Hermine Biermé (Univ. Poitiers) & Catherine Gloaguen (Orange Lab).
The solution (in french!) can be found here.