Details

Autor(en) / Beteiligte

• Hilbert, Astrid
• Mastrogiacomo, Elisa
• Mazzucchi, Sonia
• Rüdiger, Barbara
• Ugolini, Stefania

Titel

Random Processes on Non-Archimedean Spaces

Ist Teil von

• Quantum and Stochastic Mathematical Physics, 2023, Vol.377, p.315-342

Ort / Verlag

Switzerland: Springer International Publishing AG

Erscheinungsjahr

2023

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The Lévy stochastic processes on p-adic numbers have been constructed by different methods. We present the construction by Albeverio and Karwowski using the Chapman–Kolmogorov equations. This method does not rely on the algebraic structure of p-adics and so it is applicable beyond the class of Lévy processes and allows to enlarge the family of the state spaces to general tree structures. We indicate the influence this results had on the subsequent research by ourselves and we point to interactions with the work of other authors.