Asymptotic behavior of stable manifolds

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Parabolic Equations: Asymptotic Behavior and Dynamics on Invariant Manifolds

stable exponentially harmonic maps between finsler manifolds

Asymptotic expansion of 1-dimensional sub-manifolds of stable and unstable manifolds in a 4-dimensional symplectic mapping

We analytically compute asymptotic expansions of a 1-dimensional submanifold of stable and unstable manifolds in a 4-dimensional symplectic mapping by using the method called asymptotic expansions beyond all orders. This method enables us to capture exponentially small splitting of separatrices and also to obtain explicit functional approximations of the sub-manifolds. In addition, we show the ...

Asymptotic data analysis on manifolds

Given an m-dimensional compact submanifold M of Euclidean space R, the concept of mean location of a distribution, related to mean or expected vector, is generalized to more general R-valued functionals including median location, which is derived from the spatial median. The asymptotic statistical inference for general functionals of distributions on such submanifolds is elaborated. Convergence...