Jack Deformations of Plancherel Measures and Traceless Gaussian Random Matrices
نویسندگان
چکیده
منابع مشابه
Jack Deformations of Plancherel Measures and Traceless Gaussian Random Matrices
We study random partitions λ = (λ1, λ2, . . . , λd) of n whose length is not bigger than a fixed number d. Suppose a random partition λ is distributed according to the Jack measure, which is a deformation of the Plancherel measure with a positive parameter α > 0. We prove that for all α > 0, in the limit as n → ∞, the joint distribution of scaled λ1, . . . , λd converges to the joint distributi...
متن کاملMore about measures and Jacobians of singular random matrices
In this work are studied the Jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.
متن کاملmore about measures and jacobians of singular random matrices
in this work are studied the jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.
متن کاملDescribing the Behavior of Eigenvectors of Random Matrices Using Sequences of Measures on Orthogonal Groups * Jack
A conjecture has previously been made on the chaotic behavior of the eigenvectors of a class of n-dimensional random matrices, where n is very large [ Evidence supporting the conjecture has been given in the form of two limit theorems, as n-. relating the random matrices to matrices formed from the Haar measure, h,, on the orthogonal group The present paper considers a reformulation of the conj...
متن کاملDeterminants of Random Matrices and Jack Polynomials of Rectangular Shape
We consider an N-dimensional real integral, indexed by a parameter that specifies the power of a Vandermonde determinant. For two particular values of the parameter, this integral arises from matrix integrals, over real symmetric and complex Hermitian N × N matrices. When it is normalized, it gives the expectation of an arbitrary power of the determinant. The results are given as finite summati...
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 Electronic Journal of Combinatorics
سال: 2008
ISSN: 1077-8926
DOI: 10.37236/873