On the rough-paths approach to non-commutative stochastic calculus
International conference "QP 34 -- Quantum Probability and Related Topics"
September 19, 2013 14:00, Moscow, Steklov Mathematical Institute of RAS
Abstract:
We study different possibilities to apply the principles of rough-paths theory in a non-commutative probability setting. First, we extend previous results obtained by Capitaine, Donati-Martin and Victoir in Lyons' original formulation of rough-paths theory. Then we settle the bases of an alternative non-commutative integration procedure, in the spirit of Gubinelli's controlled paths theory, and which allows us to revisit the constructions of Biane and Speicher in the free Brownian case. New approximation results are also derived from the strategy.
René Schott