most citedTransportation cost-information inequalities and applications to random dynamical systems and diffusions

255 citations

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2 papers

math.DG2004

Dirac-Harmonic Maps

Qun Chen, Juergen Jost, Jiayu Li +1

We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…

math.PR2004★ 255 cited

Transportation cost-information inequalities and applications to random dynamical systems and diffusions

H. Djellout, A. Guillin, L. Wu

We first give a characterization of the L^1-transportation cost-information inequality on a metric space and next find some appropriate sufficient condition to transportation cost-…