منابع مشابه
On harmonic functions for trace processes
Let X be a standard Markov process with state space E and let F be a closed subset of E. A nonnegative function f on F is extended probabilistically to a function hf on the whole space E. We show that the extension hf is harmonic with respect to X provided that f is harmonic with respect to Y , the trace process on F of the process X . A consequence is that if the Harnack inequality holds for X...
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توابع درهم نقش بسیار مهم در سیستم های رمزنگاری و پروتکل های امنیتی دارند. در سیستم های رمزنگاری برای دستیابی به احراز درستی و اصالت داده دو روش مورد استفاده قرار می گیرند که عبارتند از توابع رمزنگاری کلیددار و توابع درهم ساز. توابع درهم ساز، توابعی هستند که هر متن با طول دلخواه را به دنباله ای با طول ثابت تبدیل می کنند. از جمله پرکاربردترین و معروف ترین توابع درهم می توان توابع درهم ساز md4, md...
Trace inequalities for completely monotone functions and Bernstein functions
We prove a matrix trace inequality for completely monotone functions and for Bernstein functions. As special cases we obtain non-trivial trace inequalities for the power function x 7→ xq, which for certain values of q complement McCarthy’s trace inequality and for others strenghten it.
متن کاملDeterminants and Möbius functions in trace monoids
We show that the independence relation deening a trace monoid M admits a transitive orientation if and only if the characteristic series of a lexicographic cross section of M satisses an equation of the form Det(Id ? X) = 1, where X is a matrix representing the minimum nite automaton recognizing and Id is the identity matrix. This implies that, if the independence relation of a trace monoid M a...
متن کاملTrace-Inequalities and Matrix-Convex Functions
A real-valued continuous function f t on an interval α, β gives rise to a map X → f X via functional calculus from the convex set of n × n Hermitian matrices all of whose eigenvalues belong to the interval. Since the subpace of Hermitianmatrices is providedwith the order structure induced by the cone of positive semidefinite matrices, one can consider convexity of this map. We will characterize...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1995
ISSN: 0021-8693
DOI: 10.1006/jabr.1995.1003