Geodesic normal distribution on the circle
نویسندگان
چکیده
منابع مشابه
Geodesic Normal distribution on the circle
This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbers associated to some specific location and dispersion concepts, looks like a standard Gaussian on the real line except that the support of this variable is [0, 2π) and that the Euclidean distance ...
متن کاملGeodesic Flow on the Diffeomorphism Group of the Circle
We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth orientation-preserving diffeomorphisms of the circle with a Riemannian structure. The study of the Riemannian exponential map allows us to prove infinite-dimensional counterparts of results from classical Riemannian geometry: the Riemannian exponential map is a smooth local diffeomorphism and the...
متن کاملLinear regression, the normal distribution of error values or normal distribution of the dependent variable?
This article has no abstract.
متن کاملGeodesic Flows on Diffeomorphisms of the Circle, Grassmannians, and the Geometry of the Periodic KdV Equation
We start by constructing a Hilbert manifold T of orientation preserving diffeomorphisms of the circle (modulo the group of bi-holomorphic self-mappings of the disc). This space, which could be thought of as a completion of the universal Teichmüller space, is endowed with a right-invariant Kähler metric. Using results from the theory of quasiconformal mappings we construct an embedding of T into...
متن کاملGEODESIC COMPLETENESS FOR SOBOLEV Hs-METRICS ON THE DIFFEOMORPHISMS GROUP OF THE CIRCLE
We prove that the weak Riemannian metric induced by the fractional Sobolev norm H on the diffeomorphisms group of the circle is geodesically complete, provided s > 3/2.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Metrika
سال: 2011
ISSN: 0026-1335,1435-926X
DOI: 10.1007/s00184-011-0363-7