منابع مشابه
The Strong Perron Integral
In this paper, we study the strong Perron integral, and show that the strong Perron integral is equivalent to the McShane integral.
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A cycle expansion technique for discrete sums of several PF operators, similar to the one used in the standard classical dynamical zeta-function formalism is constructed. It is shown that the corresponding expansion coefficients show an interesting universal behavior, which illustrates the details of the interference between the particular mappings entering the sum.
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متن کاملEla on General Matrices Having the Perron-frobenius Property∗
A matrix is said to have the Perron-Frobenius property if its spectral radius is an eigenvalue with a corresponding nonnegative eigenvector. Matrices having this and similar properties are studied in this paper as generalizations of nonnegative matrices. Sets consisting of such generalized nonnegative matrices are studied and certain topological aspects such as connectedness and closure are pro...
متن کاملOn the Set of Perron Exponents of Discrete Linear Systems
The Lyapunov, Bohl and Perron exponents belong to the most important numerical characteristics of dynamical systems used in control theory. Properties of the first two characteristics are well described in the literature. Properties of the Perron exponents are much less investigated. In this paper we show an example of two-dimensional discrete-time linear system with bounded coefficients for wh...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1942
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1942-07766-4