Littérature scientifique sur le sujet « Mean-field stochastic differential equations (SDE) »
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Articles de revues sur le sujet "Mean-field stochastic differential equations (SDE)"
Briand, Phillippe, Abir Ghannoum et Céline Labart. « Mean reflected stochastic differential equations with jumps ». Advances in Applied Probability 52, no 2 (juin 2020) : 523–62. http://dx.doi.org/10.1017/apr.2020.11.
Texte intégralSun, Yabing, Jie Yang et Weidong Zhao. « Itô-Taylor Schemes for Solving Mean-Field Stochastic Differential Equations ». Numerical Mathematics : Theory, Methods and Applications 10, no 4 (12 septembre 2017) : 798–828. http://dx.doi.org/10.4208/nmtma.2017.0007.
Texte intégralWang, Tianxiao. « On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems ». ESAIM : Control, Optimisation and Calculus of Variations 26 (2020) : 41. http://dx.doi.org/10.1051/cocv/2019057.
Texte intégralKubilius, Kęstutis, et Aidas Medžiūnas. « A Class of Fractional Stochastic Differential Equations with a Soft Wall ». Fractal and Fractional 7, no 2 (21 janvier 2023) : 110. http://dx.doi.org/10.3390/fractalfract7020110.
Texte intégralFerreiro-Castilla, A., A. E. Kyprianou et R. Scheichl. « An Euler–Poisson scheme for Lévy driven stochastic differential equations ». Journal of Applied Probability 53, no 1 (mars 2016) : 262–78. http://dx.doi.org/10.1017/jpr.2015.23.
Texte intégralWang, Yongguang, et Shuzhen Yao. « Neural Stochastic Differential Equations with Neural Processes Family Members for Uncertainty Estimation in Deep Learning ». Sensors 21, no 11 (26 mai 2021) : 3708. http://dx.doi.org/10.3390/s21113708.
Texte intégralHigham, Desmond J., Xuerong Mao et Andrew M. Stuart. « Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations ». LMS Journal of Computation and Mathematics 6 (2003) : 297–313. http://dx.doi.org/10.1112/s1461157000000462.
Texte intégralKubilius, Kęstutis, et Aidas Medžiūnas. « Pathwise Convergent Approximation for the Fractional SDEs ». Mathematics 10, no 4 (21 février 2022) : 669. http://dx.doi.org/10.3390/math10040669.
Texte intégralRupšys, Petras. « Modeling Dynamics of Structural Components of Forest Stands Based on Trivariate Stochastic Differential Equation ». Forests 10, no 6 (14 juin 2019) : 506. http://dx.doi.org/10.3390/f10060506.
Texte intégralJaworski, Piotr. « On Copula-Itô processes ». Dependence Modeling 7, no 1 (1 novembre 2019) : 322–47. http://dx.doi.org/10.1515/demo-2019-0017.
Texte intégralThèses sur le sujet "Mean-field stochastic differential equations (SDE)"
Manai, Arij. « Some contributions to backward stochastic differential equations and applications ». Thesis, Le Mans, 2019. http://www.theses.fr/2019LEMA1022.
Texte intégralThis thesis is dedicated to the study of backward stochastic differential equations (BSDEs) and their applications. In chapter 1, we study the problem of maximizing the utility from terminal wealth where the stock price may jump and there are investment constraints on the agent 's strategies. We focus on the BSDE whose solution represents the maximal utility, which allows transferring results on quadratic BSDEs, in particular the stability results, to the problem of utility maximisation. In chapter 2, we consider the problem of pricing American options from theoretical and numerical sides based upon an alternative representation of the value of the option in the form of a viscosity solution of a parabolic equation with a nonlinear reaction term. We extend the viscosity solution characterization proved in [Benth, Karlsen and Reikvam 2003] for call/put American option prices to the case of a general payoff function in a multi-dimensional setting. We address two new numerical schemes inspired by the branching processes. Our numerical experiments show that approximating the discontinuous driver of the associated reaction/diffusion PDE by local polynomials is not efficient, while a simple randomization procedure provides very good results. In chapter 3, we prove existence and uniqueness results for a general class of coupled mean-field forward-backward SDEs with jumps under weak monotonicity conditions and without the non-degeneracy assumption on the forward equation and we give an application in the field of storage in smart grids in the case where the production of electricity is unpredictable
Salhi, Rym. « Contributions to quadratic backward stochastic differential equations with jumps and applications ». Thesis, Le Mans, 2019. http://www.theses.fr/2019LEMA1023.
Texte intégralThis thesis focuses on backward stochastic differential equation with jumps and their applications. In the first chapter, we study a backward stochastic differential equation (BSDE for short) driven jointly by a Brownian motion and an integer valued random measure that may have infinite activity with compensator being possibly time inhomogeneous. In particular, we are concerned with the case where the driver has quadratic growth and unbounded terminal condition. The existence and uniqueness of the solution are proven by combining a monotone approximation technics and a forward approach. Chapter 2 is devoted to the well-posedness of generalized doubly reflected BSDEs (GDRBSDE for short) with jumps under weaker assumptions on the data. In particular, we study the existence of a solution for a one-dimensional GDRBSDE with jumps when the terminal condition is only measurable with respect to the related filtration and when the coefficient has general stochastic quadratic growth. We also show, in a suitable framework, the connection between our class of backward stochastic differential equations and risk sensitive zero-sum game. In chapter 3, we investigate a general class of fully coupled mean field forward-backward under weak monotonicity conditions without assuming any non-degeneracy assumption on the forward equation. We derive existence and uniqueness results under two different sets of conditions based on proximation schema weither on the forward or the backward equation. Later, we give an application for storage in smart grids
Mezerdi, Mohamed Amine. « Equations différentielles stochastiques de type McKean-Vlasov et leur contrôle optimal ». Electronic Thesis or Diss., Toulon, 2020. http://www.theses.fr/2020TOUL0014.
Texte intégralWe consider Mc Kean-Vlasov stochastic differential equations (SDEs), which are SDEs where the drift and diffusion coefficients depend not only on the state of the unknown process but also on its probability distribution. These SDEs called also mean- field SDEs were first studied in statistical physics and represent in some sense the average behavior of an infinite number of particles. Recently there has been a renewed interest for this kind of equations in the context of mean-field game theory. Since the pioneering papers by P.L. Lions and J.M. Lasry, mean-field games and mean-field control theory has raised a lot of interest, motivated by applications to various fields such as game theory, mathematical finance, communications networks and management of oil resources. In this thesis, we studied questions of stability with respect to initial data, coefficients and driving processes of Mc Kean-Vlasov equations. Generic properties for this type of SDEs, such as existence and uniqueness, stability with respect to parameters, have been investigated. In control theory, our attention were focused on existence, approximation of relaxed controls for controlled Mc Kean-Vlasov SDEs
Mu, Tingshu. « Backward stochastic differential equations and applications : optimal switching, stochastic games, partial differential equations and mean-field ». Thesis, Le Mans, 2020. http://www.theses.fr/2020LEMA1023.
Texte intégralThis thesis is related to Doubly Reflected Backward Stochastic Differential Equations (DRBSDEs) with two obstacles and their applications in zero-sum stochastic switching games, systems of partial differential equations, mean-field problems.There are two parts in this thesis. The first part deals with optimal stochastic switching and is composed of two works. In the first work we prove the existence of the solution of a system of DRBSDEs with bilateral interconnected obstacles in a probabilistic framework. This problem is related to a zero-sum switching game. Then we tackle the problem of the uniqueness of the solution. Finally, we apply the obtained results and prove that, without the usual monotonicity condition, the associated PDE system has a unique solution in viscosity sense. In the second work, we also consider a system of DRBSDEs with bilateral interconnected obstacles in the markovian framework. The difference between this work and the first one lies in the fact that switching does not work in the same way. In this second framework, when switching is operated, the system is put in the following state regardless of which player decides to switch. This difference is fundamental and largely complicates the problem of the existence of the solution of the system. Nevertheless, in the Markovian framework we show this existence and give a uniqueness result by the Perron’s method. Later on, two particular switching games are analyzed.In the second part we study a one-dimensional Reflected BSDE with two obstacles of mean-field type. By the fixed point method, we show the existence and uniqueness of the solution in connection with the integrality of the data
Bauer, Martin [Verfasser], et Thilo [Akademischer Betreuer] Meyer-Brandis. « Mean-field stochastic differential equations with irregular coefficients : solutions and regularity properties / Martin Bauer ; Betreuer : Thilo Meyer-Brandis ». München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2020. http://d-nb.info/1215499787/34.
Texte intégralLivres sur le sujet "Mean-field stochastic differential equations (SDE)"
Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.
Trouver le texte intégralChapitres de livres sur le sujet "Mean-field stochastic differential equations (SDE)"
Field, Timothy R. « Dynamics of K-Scattering ». Dans Electromagnetic Scattering from Random Media, 52–68. Oxford University PressOxford, 2008. http://dx.doi.org/10.1093/oso/9780198570776.003.0010.
Texte intégralPérez-Mercade, Juan. « Coarse-Graining, Scaling, and Hierarchies ». Dans Nonextensive Entropy. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780195159769.003.0026.
Texte intégralActes de conférences sur le sujet "Mean-field stochastic differential equations (SDE)"
Li, Li, et Han Yuqiao. « Mean-field backward stochastic differential equations with discontinuous coefficients ». Dans 2013 25th Chinese Control and Decision Conference (CCDC). IEEE, 2013. http://dx.doi.org/10.1109/ccdc.2013.6561843.
Texte intégralYan, Hao, et Nana Zhao. « Mean-field Backward Stochastic Differential Equations with Quadratic Growth ». Dans 2019 Chinese Control Conference (CCC). IEEE, 2019. http://dx.doi.org/10.23919/chicc.2019.8866613.
Texte intégralHancheng, Guo, et Ren Xiuyun. « Mean-field backward stochastic differential equations with uniformly continuous generators ». Dans 2014 26th Chinese Control And Decision Conference (CCDC). IEEE, 2014. http://dx.doi.org/10.1109/ccdc.2014.6852152.
Texte intégralWang, Jinghan, Nana Zhao et Yufeng Shi. « General mean-field backward stochastic differential equations with discontinuous coefficients ». Dans 2022 41st Chinese Control Conference (CCC). IEEE, 2022. http://dx.doi.org/10.23919/ccc55666.2022.9902278.
Texte intégralMin, Hui, et Chunzhen Wei. « Reflected mean-field backward stochastic differential equations with time delayed generators ». Dans 2021 33rd Chinese Control and Decision Conference (CCDC). IEEE, 2021. http://dx.doi.org/10.1109/ccdc52312.2021.9601997.
Texte intégralShanshan, Zuo, et Min Hui. « Optimal control problems of mean-field forward-backward stochastic differential equations with partial information ». Dans 2013 25th Chinese Control and Decision Conference (CCDC). IEEE, 2013. http://dx.doi.org/10.1109/ccdc.2013.6561841.
Texte intégralSafari, Mehdi. « Local Entropy Generation in Large Eddy Simulation of Turbulent Reacting Flows ». Dans ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71525.
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