16.04.2025 (Blackboard)
Adrian Celestino, TU Graz
"Moment-cumulants relations via Hopf algebras"
Abstract: Hopf algebras provide a fundamental framework for studying algebraic structures in combinatorics and probability. In this talk, we review the definition of Hopf algebras and their role in moment-cumulant relations in classical probability. We then explore how these ideas extend to non-commutative probability, revealing deep connections between algebraic combinatorics and non-commutative notions of independence.
Adrian Celestino, TU Graz
"Moment-cumulants relations via Hopf algebras"
Abstract: Hopf algebras provide a fundamental framework for studying algebraic structures in combinatorics and probability. In this talk, we review the definition of Hopf algebras and their role in moment-cumulant relations in classical probability. We then explore how these ideas extend to non-commutative probability, revealing deep connections between algebraic combinatorics and non-commutative notions of independence.
Everyone is cordially invited!
B. Kołodziejek, W. Matysiak, K. Szpojankowski, J. Wesołowski