Compatible Complex Structures on Twistor Spaces

Let (M,g) be a Riemannian 4-manifold. The twistor space Z->M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of complex structures on (Z,h) which are compatible with the CP1-fibration and the metric h. The results obtained enable us to translate some metric properties on M in terms of complex properties on its twistor space Z.Comment: 23 page

Exponential inequalities and functional estimations for weak dependent datas ; applications to dynamical systems

We estimate density and regression functions for weak dependant datas. Using an exponential inequality obtained by Dedecker and Prieur and in a previous article of the author, we control the deviation between the estimator and the function itself. These results are applied to a large class of dynamical systems and lead to estimations of invariant densities and on the mapping itself

Expectations and intertemporal separability in an empirical model of consumption and investment under uncertainty

Consumer Choice;Separability

On fractional demand systems and budget share positivity

Consumption Function

Decay of correlations on towers with non-Holder continuous Jacobian and non-exponential return time

We establish upper bounds on the rate of decay of correlations of tower systems with summable variation of the Jacobian and integrable return time. That is, we consider situations in which the Jacobian is not Holder and the return time is only subexponentially decaying. We obtain a subexponential bound on the correlations, which is essentially the slowest of the decays of the variation of the Jacobian and of the return time