3 papers
math.DS2017
Lyapunov exponents of the Brownian motion on a Kähler manifold
Jeremy Daniel, Bertrand Deroin
If E is a flat bundle of rank r over a Kähler manifold X, we define the Lyapunov spectrum of E: a set of r numbers controlling the growth of flat sections of E, along Brownian traj…
math.DG2015
Loop Hodge structure and harmonic bundles
Jeremy Daniel
We define the notion of a loop Hodge structure -- an infinite dimensional generalization of a Hodge structure -- and prove that a suitable variation of this object over a complex m…
math.DG2013
Characteristic Laplacian in sub-Riemannian geometry
Jeremy Daniel, Xiaonan Ma
We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it…