Erny, Xavier
- Well-posedness and propagation of chaos for McKean-Vlasov equations with jumps and locally Lipschitz coefficients
2021/02/12 by Xavier Erny, Erny, Xavier · 2 citations
Economics, Econometrics and Finance · Mathematics · #60J60 #60K35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications
- Sharp approximation and hitting times for stochastic invasion processes
2022/12/29 by Vincent Bansaye, Xavier Erny, Bansaye, Vincent +3 · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #37N25 #60F15 #60G55 #60H10 #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics
- Conditional propagation of chaos for mean field systems of interacting neurons
2019/09/06 by Erny, Xavier, Löcherbach, Eva, Loukianova, Dasha · 1 citation
#60G09 #60G55 #60J75 #60K35 #FOS: Mathematics #Probability (math.PR)
- Strong error bounds for the convergence to its mean field limit for systems of interacting neurons in a diffusive scaling
2021/11/09 by Erny, Xavier, Löcherbach, Eva, Loukianova, Dasha · 1 citation
#60G09 #60G55 #60J76 #60K35 #FOS: Mathematics #Probability (math.PR)
- The first Fundamental Theorem of Calculus for functions defined on Wasserstein space
2025/10/15 by Xavier Erny, Erny, Xavier · 1 citation
Engineering · Mathematics · #28A33 #46G05 #46T20 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #advanced mathematical theories