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Symmetric stochastic matrices with given row sums.

Ryszard Grzaslewicz (1990)

Revista Matemática de la Universidad Complutense de Madrid

Characterizations of extreme infinite symmetric stochastic matrices with respect to arbitrary non-negative vector r are given.

Symmetric subspaces of l 1 with large projection constants

Bruce Chalmers, Grzegorz Lewicki (1999)

Studia Mathematica

We construct k-dimensional (k ≥ 3) subspaces V k of l 1 , with a very simple structure and with projection constant satisfying λ ( V k ) λ ( V k , l 1 ) > λ ( l 2 ( k ) ) .

Symmetrization of functions and principal eigenvalues of elliptic operators

François Hamel, Nikolai Nadirashvili, Emmanuel Russ (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

In this paper, we consider shape optimization problems for the principal eigenvalues of second order uniformly elliptic operators in bounded domains of n . We first recall the classical Rayleigh-Faber-Krahn problem, that is the minimization of the principal eigenvalue of the Dirichlet Laplacian in a domain with fixed Lebesgue measure. We then consider the case of the Laplacian with a bounded drift, that is the operator - Δ + v · , for which the minimization problem is still well posed. Next, we deal with...

System of fractional differential equations with Erdélyi-Kober fractional integral conditions

Natthaphong Thongsalee, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon (2015)

Open Mathematics

In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.

Système dynamique à spectre discret et pavage périodique associé à une substitution

Anne Siegel (2004)

Annales de l’institut Fourier

On donne une condition combinatoire effective suffisante pour que le sytème dynamique associé à une substitution de type Pisot ait un spectre purement discret. Dans le cas unimodulaire, cette condition est nécessaire dès que la substitution n'a qu'un cobord trivial ; elle est vérifiée si et seulement si le fractal de Rauzy associé à la substitution engendre un pavage auto-similaire et périodique. On en déduit des conditions de connexité des fractals de Rauzy.

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