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Arnaud Lionnet

Junior Research Fellow

Ecole Normale Supérieure de Cachan


My research is concerned mainly with the mathematics of the modeling and the decision-making problems which arise in finance and economics.

One such problem is the risk-management of derivatives products by the Quants in investment banks. It leads to solving parabolic PDEs or, equivalently but more generally, systems of forward and backward SDEs. In parallel with the questions of well-posedness of these equations, one must seek for methods to solve them numerically.

Another topic I am interested in is the modeling of systems of economic agents, when they are not isolated and making decisions individually in face of uncertainty about the future, but form a system of interacting agents. I am particularly interested in systemic risk, where the agents are financial institutions that borrow from and lend to each other.

Publications and working papers

  1. , Full-Projection scheme for monotone BSDEs with polynomial growth.
    To be submitted, 2016+ (18 pages). On arXiv.
  2. , Adapted time steps explicit scheme for monotone BSDEs.
    Submitted, 2016+ (31 pages). On arXiv.
  3. , Equilibrium pricing under relative-performance concerns.
    SIAM Journal on Financial Mathematics (to appear), 2015+ (45 pages). On arXiv.
  4. , Convergence and qualitative properties of modified explicit schemes for BSDEs with polynomial growth.
    In revision, 2016+ (49 pages). On arXiv. Supplementary notes.
  5. , On BSDEs up to an unbounded stopping time.
    Work in progress.
  6. , Time discretization of FBSDEs with polynomial growth drivers and reaction-diffusion PDEs.
    Annals of Applied Probability, 2015 (63 pages). On arXiv.
  7. , Some results on general quadratic reflected BSDEs driven by a continuous martingale.
    Stochastic Processes and their Applications, 2014 (28 pages). On arXiv. Also in the journal (gold open access paid for by RCUK).
  8. , On Girsanov's tranform for BSDEs.
    In revision. On arXiv.

Funding, grants, awards, etc

Funding obtained for my research projects :

Funding obtained during my studies :