Stochastic Processes and Operator Calculus on Quantum Groups

Inhaltsverzeichnis

• 1 Introduction.
• 2 Preliminaries on Lie groups.
• 3 Hopf algebras, quantum groups and braided spaces.
• 4 Stochastic processes on quantum groups.
• 5 Markov structure of quantum Lévy processes.
• 6 Diffusions on braided spaces.
• 7 Evolution equations and Lévy processes on quantum groups.
• 8 Gauss laws in the sense of Bernstein on quantum groups.
• 9 Phase retrieval for probability distributions on quantum groups and braided groups.
• 10 Limit theorems on quantum groups.