Random Multilinear Forms
نویسندگان
چکیده
منابع مشابه
Multilinear forms which are products of linear forms
The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.
متن کاملMultilinear forms
Proposition 1.1. α1, . . . , αn forms a basis for V ∗ (called the dual basis). In particular, this shows that V and V ∗ are vector spaces of the same dimension. However, there is no natural way to choose an isomorphism between them, unless we pick some additional structure on V (such as a basis or a nondegenerate bilinear form). On the other hand, we can construct an isomorphism ψ from V to (V ...
متن کاملMultilinear Forms and Measures of Dependence between Random Variables
In his studies of mixing conditions on Markov chains, Rosenblatt [32; 33, Chap. 71 used the Riesz convexity (interpolation) theorem to compare different measures of dependence between two given families of random variables on a probability space. Rosenblatt [34] also suggested that by using other results in operator theory, one might be able to obtain more information about the relationships be...
متن کاملCongruence of Multilinear Forms
Let F : U × · · · × U → K, G : V × · · · × V → K be two n-linear forms with n > 2 on vector spaces U and V over a field K. We say that F and G are symmetrically equivalent if there exist linear bijections φ1, . . . , φn : U → V such that F (u1, . . . , un) = G(φi1u1, . . . , φinun) for all u1, . . . , un ∈ U and each reordering i1, . . . , in of 1, . . . , n. The forms are said to be congruent ...
متن کاملOn the Concentration of Random Multilinear Forms and the Universality of Random Block Matrices
The circular law asserts that if Xn is a n×n matrix with iid complex entries of mean zero and unit variance, then the empirical spectral distribution of 1 √ n Xn converges almost surely to the uniform distribution on the unit disk as n tends to infinity. Answering a question of Tao, we prove the circular law for a general class of random block matrices with dependent entries. The proof relies o...
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: The Annals of Probability
سال: 1986
ISSN: 0091-1798
DOI: 10.1214/aop/1176992450