Academic Journal
A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces
| العنوان: | A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces |
|---|---|
| المؤلفون: | Stéphane Gaubert, Guillaume Vigeral |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://hal.inria.fr/docs/00/66/18/63/PDF/1012.4765v3.pdf. |
| سنة النشر: | 2012 |
| المجموعة: | CiteSeerX |
| الوصف: | We establish a maximin characterisation of the linear escape rate of the orbits of a non-expansive mapping on a complete (hemi-)metric space, under a mild form of Busemann’s non-positive curvature condition (we require a distinguished family of geodesics with a common origin to satisfy a convexity inequality). This characterisation, which involves horofunctions, generalises the Collatz-Wielandt characterisation of the spectral radius of a non-negative matrix. It yields as corollaries a theorem of Kohlberg and Neyman (1981), concerning non-expansive maps in Banach spaces, a variant of a Denjoy-Wolff type theorem of Karlsson (2001), together with a refinement of a theorem of Gunawardena and Walsh (2003), concerning order-preserving positively homogeneous self-maps of symmetric cones. An application to zero-sum stochastic games is also given. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.5864; http://hal.inria.fr/docs/00/66/18/63/PDF/1012.4765v3.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.5864 http://hal.inria.fr/docs/00/66/18/63/PDF/1012.4765v3.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.5A3D1A6D |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |