Equipe de Mathématiques Financières
Centre de Mathématiques Appliquées (CMAP)
91128 Palaiseau Cedex
Profile: https://www.researchgate.net/profile/Yiqing_Lin6 or www.linkedin.com/in/yiqing-lin
Since October 2015, I am a Postdoctoral Fellow in the group of Financial Mathematics, CMAP, École Polytechnique. Before joining the CMAP, I was a Postdoctoral Fellow in the group of Probability Theory and Mathematical Finance, Faculty of Mathematics, University of Vienna. I prepared my Ph. D. thesis in the group of Stochastic Processes, IRMAR, Université de Rennes 1.
Stochastic Differential Equations
(Second-order) Backward Stochastic Differential Equations
Nonlinear Mathematical Expectations
| • Quadratic BSDEs with mean reflection.
forthcoming in Mathematical Control and Related Fields, 2018. (with H. Hibon, Y. Hu, P. Luo and F. Wang) arXiv:1705.09852
| • Strict comparison theorems under sublinear expectations.
forthcoming in Archiv der Mathmatik, 2017. (with X. Li) DOI
| • Causal transport in discrete time and applications.
forthcoming in SIAM Journal on Optimization, 2017 (with J. Backhoff, M. Beiglböck and A. Zalashko) arXiv:1606.04062
| • On the existence of shadow price for optimal investment with random endowment.
forthcoming in Stochastics, 2017 (with L. Gu and J. Yang) DOI
| • Generalized Wasserstein distance and weak convergence of sublinear expectations.
Journal of Theoretical Probability 30(2): 581-593, 2017 (with X. Li) DOI MathSciNet
| • Utility maximization problem with random endowment and transaction costs: when wealth may become negative.
Stochastic Analysis and Applications 35: 257-278, 2017 (With J. Yang) DOI MathSciNet
| • Lyapunov-type conditions and stochastic differential equations driven by G-Brownian motion.
Journal of Mathematical Analysis and Applications 439: 235-255, 2016 (with X. Li and X. Lin) DOI MathSciNet
| • On the dual problem of utility maximization in incomplete markets.
Stochastic Processes and their Applications 126(4): 1019-1035, 2016 (with L. Gu and J. Yang) DOI MathSciNet
| • A new existence result for second-order BSDEs with quadratic growth and their applications.
Stochastics 88(4): 128–146, 2016 DOI MathSciNet
| • On the existence and uniqueness of solutions to stochastic
differential equations driven by G-Brownian motion with
Acta Mathematicae Applicatae Sinica, English Series 30(3): 589-610, 2014 (with X. Bai) DOI MathSciNet
| • Stochastic differential equations driven by G-Brownian motion with reflecting boundary conditions.
Electronic Journal of Probability 18: no. 9, 1-23, 2013 DOI MathSciNet
| • Quadratic backward
stochastic differential equations driven by G-Brownian motion:
discrete solutions and approximation.
arXiv:1603.03637 (with Y. Hu and A. Soumana Hima)
| • Reflected stochastic differential equations driven by G-Brownian motion in non-convex domains.
arXiv:1703.03238 (with A. Soumana Hima)
| • Équations différentielles stochastiques sous les espérances mathématiques non-linéaires et applications
Préparée au sein de l'IRMAR, Université de Rennes 1, sous la direction de Ying HU, soutenue le 21 mai 2013 (www.theses.fr)