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20022009
most citedMean-field backward stochastic differential equations: A limit approach

322 citations

Showing 2007Show all

9 papers · 1 filter

math.PR20073 cited

Mean-Field Backward Stochastic Differential Equations and Related Partial Differential Equations

Rainer Buckdahn, Juan Li, Shige Peng

In [5] the authors obtained Mean-Field backward stochastic differential equations (BSDE) associated with a Mean-field stochastic differential equation (SDE) in a natural way as lim…

math.PR2007322 cited

Mean-field backward stochastic differential equations: A limit approach

Rainer Buckdahn, Boualem Djehiche, Juan Li +1

Mathematical mean-field approaches play an important role in different fields of Physics and Chemistry, but have found in recent works also their application in Economics, Finance…

math.DG2007

Harmonic contact metric structures, and submersions

E. Vergara-Diaz, C. M. Wood

We study harmonic almost contact structures in the context of contact metric manifolds, and an analysis is carried out when such a manifold fibres over an almost Hermitian manifold…

math.OC20072 cited

Another proof for the equivalence between invariance of closed sets with respect to stochastic and deterministic systems

Rainer Buckdahn, Marc Quincampoix, Catherine Rainer +1

We provide a short and elementary proof for the recently proved result by G. da Prato and H. Frankowska that -- under minimal assumptions -- a closed set is invariant with respect…

math.PR20071 cited

Stochastic Differential Games with Reflection and Related Obstacle Problems for Isaacs Equations

Rainer Buckdahn, Juan Li

In this paper we first investigate zero-sum two-player stochastic differential games with reflection with the help of theory of Reflected Backward Stochastic Differential Equations…

math.PR20076 cited

Stochastic control problems for systems driven by normal martingales

Rainer Buckdahn, Jin Ma, Catherine Rainer

In this paper we study a class of stochastic control problems in which the control of the jump size is essential. Such a model is a generalized version for various applied problems…