Kazuhiro Sakai (1997)
Publicacions Matemàtiques
In this paper, we show that the C1 interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the C1 interior of the set of all expansive diffeomorphisms. And the C1 interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.
Bernardo San Martín (1998)
Annales de l'I.H.P. Analyse non linéaire
Xun Ge, Shou Lin (2015)
Colloquium Mathematicae
This paper introduces partial tvs-cone metric spaces as a common generalization of both tvs-cone metric spaces and partial metric spaces, and gives a new fixed point theorem for contractions of Nadler type on partial tvs-cone metric spaces. As corollaries, we obtain the main results of S. B. Nadler (1969), D. Wardowski (2011), S. Radenović et al. (2011) and H. Aydi et al. (2012) are deduced.
Mario Sigalotti, Jean-Claude Vivalda (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface. The model couples Newton's laws driving the organism, considered as a rigid body, with Stokes equations governing the surrounding fluid. The action of the cilia is described by a set of controlled velocity fields on the surface of the organism. The first contribution of the paper is the proof that such a system is generically controllable...
Bernard Haasdonk (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Iterative approximation algorithms are successfully applied in parametric approximation tasks. In particular, reduced basis methods make use of the so-called Greedy algorithm for approximating solution sets of parametrized partial differential equations. Recently, a priori convergence rate statements for this algorithm have been given (Buffa et al. 2009, Binev et al. 2010). The goal of the current study is the extension to time-dependent problems, which are typically approximated using the POD–Greedy...
Hayashi, Shuhei (1999)
Annals of Mathematics. Second Series
S.G. Dani (1985)
Journal für die reine und angewandte Mathematik
Sébastien Gouëzel (2011)
Colloquium Mathematicae
We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with infinite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an infinite measure (including intermittent maps with an arbitrarily neutral fixed point).
Viviane Baladi, Michael Benedicks, Véronique Maume-Deschamps (2003)
Annales scientifiques de l'École Normale Supérieure
Yves Guivarc'h, Roman Urban (2007)
Studia Mathematica
María Barrozo, Ursula Molter (2014)
Open Mathematics
We consider a complete metric space (X, d) and a countable number of contraction mappings on X, F = {F i: i ∈ ℕ}. We show the existence of a smallest invariant set (with respect to inclusion) for F. If the maps F i are of the form F i(x) = r i x + b i on X = ℝd, we prove a converse of the classic result on contraction mappings, more precisely, there exists a unique bounded invariant set if and only if r = supi r i is strictly smaller than 1. Further, if ρ = {ρ k}k∈ℕ is a probability sequence, we...
Kuperberg, Krystyna (1998)
Documenta Mathematica
Hua-Chieh Li (1996)
Compositio Mathematica
Hans Henrik Rugh (2002)
Annales scientifiques de l'École Normale Supérieure
Moto O'Uchi (1986)
Mathematica Scandinavica
Curtis T. McMullen (2002)
Publications Mathématiques de l'IHÉS
Guíñez, Jorge, Quintero, Robert, Rueda, Angel D. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Matthew Grayson, Charles Pugh (1993)
Publications Mathématiques de l'IHÉS
Fiedler, Bernold, Mantel, Rolf M. (2000)
Documenta Mathematica
T. Pezda (1994)
Colloquium Mathematicae