Probabilistic Operator Algebra Seminar: Monotone Convolution

Seminar | January 29 | 2-4 p.m. | 736 Evans Hall

 Naofumi Muraki, Iwate Prefectural University

 Department of Mathematics

Monotone independence is another notion of independence in non-commutative probability theory which differs from classical, free and Boolean independences. In this talk I will derive a basic formula for monotone convolution of probability measures where the reciprocal Cauchy transform plays a role similar to the one played by the Fourier transform in classical probability.