منابع مشابه
construction of vector fields with positive lyapunov exponents
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
15 صفحه اولRight Inverses of Lévy Processes
We call a right continuous increasing process Kx a partial right inverse (PRI) of a given Lévy process X if XKx = x at least for all x in some random interval [0; ) of of positive length. In this paper we give a necessary and su¢ cient condition for the existence of a PRI in terms of the Lévy triplet. AMS subject classi cation. 60G51 Key words and phrases. Lévy process; ladder height subordinat...
متن کاملRight Inverses of Nonsymmetric Lévy Processes
We analyze the existence and properties of right inverses K for nonsymmetric Lévy processes X, extending recent work of Evans [7] in the symmetric setting. First, both X and −X have right inverses if and only if X is recurrent and has a nontrivial Gaussian component. Our main result is then a description of the excursion measure nZ of the strong Markov process Z =X−L (reflected process) where L...
متن کاملConcurrent vector fields on Finsler spaces
In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...
متن کاملHarmonicity and Minimality of Vector Fields on Lorentzian Lie Groups
We consider four-dimensional lie groups equipped with left-invariant Lorentzian Einstein metrics, and determine the harmonicity properties of vector fields on these spaces. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. We also classify vector fields defining harmonic maps, and calculate explicitly the energy of t...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1995
ISSN: 0263-6115
DOI: 10.1017/s1446788700038398