Preservation of Algebraicity in Free Probability
نویسنده
چکیده
We show that any matrix-polynomial combination of free noncommutative random variables each having an algebraic law has again an algebraic law. Our result answers a question raised in a recent paper of Shlyakhtenko and Skoufranis.
منابع مشابه
The Polynomial Method for Random Matrices
We define a class of “algebraic” random matrices. These are random matrices for which the Stieltjes transform of the limiting eigenvalue distribution function is algebraic, i.e., it satisfies a (bivariate) polynomial equation. The Wigner and Wishart matrices whose limiting eigenvalue distributions are given by the semi-circle law and the Marčenko-Pastur law are special cases. Algebraicity of a ...
متن کاملO-3: In-Situ Preservation of Caprine CaudaEpididymal Spermatozoa at -10 Degree Centigrade
Background: In-situ preservation of cauda epididymal spermatozoa at -10 degree centigrade with electrolyte free media for obtaining maximum functional gametes than preservation at 5 degree centigrade. Materials and Methods: Electrolyte free media prepared with soybean lecithin-glycerol, Coenzyme Q10 - glycerol and soybean lecithin - Coenzyme Q10- glycerol were inoculated separately into ligated...
متن کاملEstimating the preservation value of Natural resources by using individual’s willingness to pay (Case study: Dena protected area)
The logit regression model was used to measure the willingness to pay, and the parameters of this model were estimated based on maximum likelihood (probability) method. For this purpose, 377 double-duplex questionnaires were completed by random sampling method in Kohgiluyeh va Boyer Ahmad provinces. Based on the results, over 68.3% of respondents, they expressed their desire to participate in t...
متن کاملOn Cr Mappings between Algebraic Cauchy–riemann Manifolds and Separate Algebraicity for Holomorphic Functions
We prove the algebraicity of smooth CR-mappings between algebraic Cauchy–Riemann manifolds. A generalization of separate algebraicity principle is established.
متن کاملA pointfree version of remainder preservation
Recall that a continuous function $fcolon Xto Y$ between Tychonoff spaces is proper if and only if the Stone extension $f^{beta}colon beta Xtobeta Y$ takes remainder to remainder, in the sense that $f^{beta}[beta X-X]subseteq beta Y-Y$. We introduce the notion of ``taking remainder to remainder" to frames, and, using it, we define a frame homomorphism $hcolon Lto M$ to be $beta$-proper, $lambd...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014