779 citations
- École PolytechniqueFR888 papers
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47 papers · 1 filter
Quasi-stationary distributions and population processes
Sylvie Méléard, Denis Villemonais
This survey concerns the study of quasi-stationary distributions with a specific focus on models derived from ecology and population dynamics. We are concerned with the long time b…
Non-parametric kernel estimation for symmetric Hawkes processes. Application to high frequency financial data
E. Bacry, K. Dayri, J. F. Muzy
We define a numerical method that provides a non-parametric estimation of the kernel shape in symmetric multivariate Hawkes processes. This method relies on second order statistica…
Stability estimates for determination of potential from the impedance boundary map
Mikhail Isaev, Roman Novikov
We study the impedance boundary map (or Robin-to-Robin map) for the Schrodinger equation in open bounded demain at fixed energy in multidimensions. We give global stability estimat…
On the complexity of strongly connected components in directed hypergraphs
Xavier Allamigeon
We study the complexity of some algorithmic problems on directed hypergraphs and their strongly connected components (SCCs). The main contribution is an almost linear time algorith…
A rigorous model study of the adaptative dynamics of Mendelian diploids
Pierre Collet, Sylvie Méléard, J. A. J. Metz
Adaptive dynamics so far has been put on a rigorous footing only for clonal inheritance. We extend this to sexually reproducing diploids, although admittedly still under the restri…
Coupling policy iteration with semi-definite relaxation to compute accurate numerical invariants in static analysis
Assalé Adjé, Stéphane Gaubert, Eric Goubault
We introduce a new domain for finding precise numerical invariants of programs by abstract interpretation. This domain, which consists of level sets of non-linear functions, genera…