Right invariant metrics and measures of presortedness
نویسندگان
چکیده
منابع مشابه
Right-invariant generalized metrics applied to rank correlation coefficients
In this paper we investigate properties of rank correlation coefficients that can be derived from right-invariant generalized metrics on the symmetric group. We prove some new inequalities between a number of generalized metrics, and we characterize the sample sizes for which several (right-invariant) rank correlation coefficients can equal zero. Using the Hausdorff generalized metric, we show ...
متن کاملInvariant Metrics and Laplacians
Let Dn be the generalized unit disk of degree n. In this paper, we compute Riemannian metrics on Dn × C (m,n) which are invariant under the natural action of the Jacobi group explicitly and also provide the Laplacians of these invariant metrics. These are expressed in terms of the trace form.
متن کاملExploring invariant sets and invariant measures.
We propose a method to explore invariant measures of dynamical systems. The method is based on numerical tools which directly compute invariant sets using a subdivision technique, and invariant measures by a discretization of the Frobenius-Perron operator. Appropriate visualization tools help to analyze the numerical results and to understand important aspects of the underlying dynamics. This w...
متن کاملAveraging and Invariant Measures
An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along the leaves of this foliation [44], [46], [38]. We review recent results on this subject and present some extensions and open questions. 2000 Math. Subj. Class. Primary 34C29; Secondary 37D30.
متن کاملRight-invariant Sobolev Metrics of Fractional Order on the Diffeomorphisms Group of the Circle
In this paper we study the geodesic flow of a right-invariant metric induced by a general Fourier multiplier on the diffeomorphisms group of the circle and on some of its homogeneous spaces. This study covers in particular right-invariant metrics induced by Sobolev norms of fractional order. We show that, under a certain condition on the symbol of the inertia operator (which is satisfied for th...
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: Discrete Applied Mathematics
سال: 1993
ISSN: 0166-218X
DOI: 10.1016/0166-218x(93)90175-n