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Asymptotic Growth of Spatial Derivatives of Isotropic Flows

   
@article{EJP704,
	author = {Holger van Bargen},
	title = {Asymptotic Growth of Spatial Derivatives of Isotropic Flows},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {stochastic flows, isotropic Brownian flows, isotropic Ornstein-Uhlenbeck flows, asymptotic behavior of derivatives},
	abstract = {It is known from the multiplicative ergodic theorem that the norm of the derivative of certain stochastic flows at a previously fixed point grows exponentially fast in time as the flows evolves. We prove that this is also true if one takes the supremum over a bounded set of initial points. We give an explicit bound for the exponential growth rate which is far different from the lower bound coming from the Multiplicative Ergodic Theorem.},
	pages = {no. 80, 2328-2351},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-704},    
        url = {http://ejp.ejpecp.org/article/view/704}}