A geometric construction of (para)-pluriharmonic maps into .
Schäfer, Lars (2008)
Balkan Journal of Geometry and its Applications (BJGA)
Wilfried Schmid, Michael Atiyah (1977)
Inventiones mathematicae
Thomas Friedrich (2000)
Colloquium Mathematicae
We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator with potential given by the curvature of a closed curve.
Dimitrios E. Kalikakis (2001)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Piotr Jaworski (2003)
Applicationes Mathematicae
This paper deals with the mathematics of the Markowitz theory of portfolio management. Let E and V be two homogeneous functions defined on ℝⁿ, the first linear, the other positive definite quadratic. Furthermore let Δ be a simplex contained in ℝⁿ (the set of admissible portfolios), for example Δ : x₁+ ... + xₙ = 1, . Our goal is to investigate the properties of the restricted mappings (V,E):Δ → ℝ² (the so called Markowitz mappings) and to classify them. We introduce the notion of a generic model...
Toshihiro Iwai (1987)
Annales de l'I.H.P. Physique théorique
Eduardo Aranda-Bricaire, Ülle Kotta (2004)
Kybernetika
The notion of controlled invariance under quasi-static state feedback for discrete-time nonlinear systems has been recently introduced and shown to provide a geometric solution to the dynamic disturbance decoupling problem (DDDP). However, the proof relies heavily on the inversion (structure) algorithm. This paper presents an intrinsic, algorithm-independent, proof of the solvability conditions to the DDDP.
Henryk Gzyl, Lázaro Recht (2006)
Revista Matemática Iberoamericana
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
Vladimír Janovský, Viktor Seige (1993)
Applications of Mathematics
The global convergence of a direct method for determining turning (limit) points of a parameter-dependent mapping is analysed. It is assumed that the relevant extended system has a singular root for a special parameter value. The singular root is clasified as a (i.e., as a turning point). Then, the Theorz for Imperfect Bifurcation offers a particular scenario for the split of the singular root into a finite number of regular roots (turning points) due to a given parameter imperfection. The relationship...
Manuel De León, Eugenic Merino, José A. Oubiña, Modesto Salgado (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Milan Kučera (1988)
Czechoslovak Mathematical Journal
Luisa Fattorusso (2008)
Czechoslovak Mathematical Journal
Let be a bounded open subset of , . In we deduce the global differentiability result for the solutions of the Dirichlet problem with controlled growth and nonlinearity . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.
Didier D'Acunto, Vincent Grandjean (2005)
Revista Matemática Complutense
Let f be a C1 function defined over Rn and definable in a given o-minimal structure M expanding the real field. We prove here a gradient-like inequality at infinity in a neighborhood of an asymptotic critical value c. When f is C2 we use this inequality to discuss the trivialization by the gradient flow of f in a neighborhood of a regular asymptotic critical level.
Richard M. Aron, Paul D. Berner (1978)
Bulletin de la Société Mathématique de France
Shigenori Uehara (1998)
Colloquium Mathematicae
M. J. Slupinski (1996)
Annales scientifiques de l'École Normale Supérieure
Dennis Sullivan (1979)
Commentarii mathematici Helvetici
Mahuya Datta (1997)
Banach Center Publications
David Applebaum (1995)
Séminaire de probabilités de Strasbourg
John J. Millson, Brett Zombro (1996)
Inventiones mathematicae