56 citations · 228 across the 23 of their papers we have counts for
8 papers · 1 filter
Generalised Operations in Free Harmonic Analysis
Roland M. Friedrich
This article, which is substantially motivated by the previous joint work with J. McKay [8], establishes the analytic analogues of the relations we found free probability has with…
(Co)monads in Free Probability Theory
Roland M. Friedrich
We discuss free probability theory and free harmonic analysis from a categorical perspective. In order to do so, we extend first the set of analytic convolutions and operations and…
Almost Commutative Probability Theory
Roland M. Friedrich, John McKay
We solve two longstanding major problems in Free Probability. This is achieved by generalising the theory to one with values in arbitrary commutative algebras. We prove the existen…
Diffusing polygons and SLE()
Robert O. Bauer, Roland M. Friedrich
We give a geometric derivation of SLE() in terms of conformally invariant random growing subsets of polygons. We relate the parameters to the exterior angles of the poly…
On Chordal and Bilateral SLE in multiply connected domains
Robert O. Bauer, Roland M. Friedrich
We discuss the possible candidates for conformally invariant random non-self-crossing curves which begin and end on the boundary of a multiply connected planar domain, and which sa…
On radial stochastic Loewner evolution in multiply connected domains
Robert O. Bauer, Roland M. Friedrich
We discuss the extension of radial SLE to multiply connected planar domains. First, we extend Loewner's theory of slit mappings to multiply connected domains by establishing the ra…