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- S Friedland, S Gaubert, L Han
- 2009

In this paper we prove an analog of Perron-Frobenius theorem for multilinear forms with nonnegative coefficients.

- L Elsner, S Friedland
- 1993

The Hadamard square of any square matrix A is bounded above and below by some doubly stochastic matrices times the square of the largest and the smallest singular values of A.

- S. Friedland, S. Gaubert
- 2010

We extend the multiplicative submodularity of the principal determinants of a nonnegative definite hermitian matrix to other spectral functions. We show that if f is the primitive of a function that is operator monotone on an interval containing the spectrum of a hermitian matrix A, then the function I → trf (A[I]) is supermodular, meaning that trf… (More)

- S Friedland, G Ochs
- 1996

x0. Introduction Let X be a compact metric space and assume that f : X ! X is a continuous map. Denote by the nonwandering set of f. An interesting and a nontrivial invariant of f is HD(()-the Hausdorr dimension of. It is usually a highly nontrivial problem to nd HD((). The seminal work of Bowen Bow2] gives HD(() as the solution to P(tt) = 0 for some… (More)

- Sergei Friedland, Stéphane Gaubert
- ArXiv
- 2010

- Ludwig Elsner, S Friedland
- 1998

A bi-innnite sequence :::t ?2 ; t ?1 ; t 0 ; t 1 ; t 2 ; ::: of nonnegative numbers deenes a sequence of nonnegative Toeplitz matrices T n = (t ik); n = 1 that the limit of the spectral radius of T n , as n tends to innnity, is given by inff() : 2 0; 1]g, where () = P j2Z t j j. A corresponding result holds in the case of block Toeplitz matrices, where the… (More)

- S Friedland, G Ochs
- 1997

Let X be a compact metric space and assume that f : X ! X is a continuous map. Denote by the nonwandering set of f. An interesting and a nontrivial invariant of f is HD(()-the Hausdorr dimension of. It is usually a highly nontrivial problem to nd HD((). The seminal work of Bowen Bow2] gives HD(() as the solution to P(tt) = 0 for some special expanding maps.… (More)

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