
Special Issue on NonCommutative Algebra, Probability and Analysis in Action
The Guest Editors for this special issue are
Joscha Diehl (University of Greifswald, Germany)
Kurusch EbrahimiFard (Norwegian University of Science and Technology Trondheim, Norway)
Uwe Franz (University of Bourgogne FrancheComté, France)
Malte Gerhold (University of Greifswald, Germany)
Nikolas Tapia (Weierstraß Institute for Applied Analysis and Stochastics & TU Berlin, Germany)
This special issue is dedicated to the intriguing ramifications of noncommutative algebra in probability, analysis and data science, as reflected in the following topics:
 noncommutative probability theory,
 stochastic processes on quantum groups,
 signature methods in data science,
 random matrices and their applications,
 Hopf algebras in combinatorics and stochastic.
It is related to the conference held in honour of Michael Schürmann on the occasion of the retirement from his professorship at the Department of Mathematics and Computer Science of the University of Greifswald, Germany. The conference took place at the Alfried Krupp Wissenschaftskolleg in Greifswald, from 20–25 September, 2021.
The volume consists of 14 papers for a total of 323 pages.
We are grateful to all the authors who contributed to this volume and to the referees for providing constructive reviews.
The Guest Editors
Papers in this Issue:

The Double Fock Space of Type B

Marek Bożejko and Wiktor Ejsmont
SIGMA 19 (2023), 040, 22 pages [ abs
pdf ]

Shifted Substitution in NonCommutative Multivariate Power Series with a View Toward Free Probability

Kurusch EbrahimiFard, Frédéric Patras, Nikolas Tapia and Lorenzo Zambotti
SIGMA 19 (2023), 038, 17 pages [ abs
pdf ]

Shuffle Algebras and NonCommutative Probability for Pairs of Faces

Joscha Diehl, Malte Gerhold and Nicolas Gilliers
SIGMA 19 (2023), 006, 50 pages [ abs
pdf ]

On the Signature of a Path in an Operator Algebra

Nicolas Gilliers and Carlo Bellingeri
SIGMA 18 (2022), 096, 43 pages [ abs
pdf ]

Markovianity and the Thompson Group $F$

Claus Köstler and Arundhathi Krishnan
SIGMA 18 (2022), 083, 27 pages [ abs
pdf ]

Entropy of Generating Series for Nonlinear InputOutput Systems and Their Interconnections

W. Steven Gray
SIGMA 18 (2022), 082, 15 pages [ abs
pdf ]

Categorial Independence and Lévy Processes

Malte Gerhold, Stephanie Lachs and Michael Schürmann
SIGMA 18 (2022), 075, 27 pages [ abs
pdf ]

Monotone CumulantMoment Formula and Schröder Trees

Octavio Arizmendi and Adrian Celestino
SIGMA 18 (2022), 073, 22 pages [ abs
pdf ]

Spatial Markov Semigroups Admit HudsonParthasarathy Dilations

Michael Skeide
SIGMA 18 (2022), 071, 8 pages [ abs
pdf ]

De Finetti Theorems for the Unitary Dual Group

Isabelle Baraquin, Guillaume Cébron, Uwe Franz, Laura Maassen and Moritz Weber
SIGMA 18 (2022), 067, 29 pages [ abs
pdf ]

Maximal Discrete Subgroups in Unitary Groups of Operator Algebras

Vadim Alekseev and Andreas Thom
SIGMA 18 (2022), 052, 7 pages [ abs
pdf ]

Functional Equations Solving InitialValue Problems of Complex BurgersType Equations for OneDimensional LogGases

Taiki Endo, Makoto Katori and Noriyoshi Sakuma
SIGMA 18 (2022), 049, 22 pages [ abs
pdf ]

Field Calculus: Quantum and Statistical Field Theory without the Feynman Diagrams

John E. Gough
SIGMA 18 (2022), 044, 15 pages [ abs
pdf ]

The Generalized Fibonacci Oscillator as an Open Quantum System

Franco Fagnola, Chul Ki Ko and Hyun Jae Yoo
SIGMA 18 (2022), 035, 19 pages [ abs
pdf ]

