Operator semistable probability measures on $R^N$
نویسندگان
چکیده
منابع مشابه
Constructing Operator Valued Probability Measures in Phase Space
Probability measures (quasi probability mass), given in the form of integrals of Wigner function over areas of the underlying phase space, give rise to operator valued probability measures (OVM). General construction methods of OVMs, are investigated in terms of geometric positive trace increasing maps (PTI), for general 1D domains, as well as 2D shapes e.g. circles, disks. Spectral properties ...
متن کاملIndependent Marginals of Operator Lévy’s Probability Measures on Finite Dimensional Vector Spaces
We find exponents of independent marginals of operator Lévy’s measures, and show that those measures which are convolutions of onedimensional factors are multivariate Lévy’s with the factors being Lévy’s too. A characterization of exponents of such measures is also given. Introduction. In this note we shall be concerned with independent marginals of operator Lévy’s measures on finite dimensiona...
متن کاملOperator Probability Theory
This article presents an overview of some topics in operator probability theory. We do not strive for generality and only simple methods are employed. To give the reader a flavor of the subject we concentrate on the two most important topics, the law of large numbers and the central limit theorem.
متن کاملGaussian Approximations for Probability Measures on R
This paper concerns the approximation of probability measures on Rd with respect to the Kullback-Leibler divergence. Given an admissible target measure, we show the existence of the best approximation, with respect to this divergence, from certain sets of Gaussian measures and Gaussian mixtures. The asymptotic behavior of such best approximations is then studied in the frequently occuring small...
متن کاملW1,+-interpolation of probability measures on graphs
We generalize an equation introduced by Benamou and Brenier in [BB00] and characterizing Wasserstein Wp-geodesics for p > 1, from the continuous setting of probability distributions on a Riemannian manifold to the discrete setting of probability distributions on a general graph. Given an initial and a final distributions (f0(x))x∈G, (f1(x))x∈G, we prove the existence of a curve (ft(x))t∈[0,1],x...
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: Colloquium Mathematicum
سال: 1981
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-45-2-287-300