Abstract
Dans cet article, on prouve un résultat de type Choquet-Deny sur les hypergroupes commutatifs: les seules fonctions harmoniques continues bornées des marches aléatoires irréductibles sont les fonctions constantes. On en déduit la description de la frontière de Martin par une méthode de relativisation.
Keywords
- Martin Boundary
- Positive Harmonic Function
- Hypergroupes Commutatifs
- Discrete Potential Theory
- Minimal Positive Harmonic Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin/Heidelberg
About this chapter
Cite this chapter
Godefroy, L. (2005). Propriété de Choquet-Deny et fonctions harmoniques sur les hypergroupes commutatifs. In: Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXVIII. Lecture Notes in Mathematics, vol 1857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31449-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-540-31449-3_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23973-4
Online ISBN: 978-3-540-31449-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
