* Sanne ter Horst, Christian Mehl*

**Sanne ter Horst**(North West University, Potchefstroom, South Africa)

**Christian Mehl**(Technishe University, Berlin, Germany)

* Il Bong Jung, Piotr Budzyński, Zenon Jabłoński*

**Il Bong Jung**(Kyungpook National University, Daegu, Korea)

**Piotr Budzyński**(University of Agriculture, Krakow, Poland)

**Zenon Jabłoński**(Jagiellonian University, Kraków, Poland)

* Roland Duduchava, Mikhael Ruzhansky*

**Roland Duduchava**(University of Georgia, Tbilisi, Georgia)

**Mikhael Ruzhansky**(University of Ghent, Belgium)

* Nikolai Vasilevski, Jani Virtanen, Kehe Zhu*

**Nikolai Vasilevski**(CINVESTAV, Mexico City, Mexico)

**Jani Virtanen**(University of Reading, Great Britain)

**Kehe Zhu**(State University of New York at Albany, NY, USA)

* Kallol Paul, Jacek Chmieliński, Debmalya Sain*

**Kallol Paul**(Jadavpur University, India)

**Jacek Chmieliński**(Pedagogical University of Krakow, Poland)

**Debmalya Sain**(Indian Institute of Science, India)

* Michael Hartz, Felix Schwenninger*

**Michael Hartz**(University od Sarland, Saarbrücken, Germany)

**Felix Schwenninger**(TU Twente, Netherlands)

* Andrzej Horzela, Fabio Bagarello, Stephen Bruce Sontz, Franciszek H.Szafraniec*

**Andrzej Horzela**(Institute of Nuclear Physics Polish Academy of Sciences, Kraków, Poland)**Fabio Bagarello**(DEIM, University of Palermo, Italy)-
**Stephen Bruce Sontz**(CIMAT Guanajuato, Mexico) **Franciszek H.Szafraniec**(Jagiellonian University in Kraków, Poland)

* William Ross, Javad Mashreghi*

**William Ross**(University of Richmond, USA)

**Javad Mashreghi**(Laval University, Québec, Canada)

* Volker Mehrmann, Arjan van der Schaft*

**Volker Mehrmann**(Technical University, Berlin, Germany)

**Arjan van der Schaft**(University of Groningen, Netherlands)

This section will present all major aspects of pH systems, including modeling, numerical methods, control theory, operator theory and functional analysis.

* Janusz Wysoczański, Vitonofrio Crismale, David Jekel*

**Janusz Wysoczański**(Wroclaw University, Poland)

**Vitonofrio Crismale**(University of Bari, Italy)

**David Jekel**(University of California, San Diego, USA)

In this Session we intend to present recent developments in the wide area of noncommutative probability and their applications to operator algebras and in operator theory. Noncommutative probability is based on various notions of independences, which are meaningful for elements of arbitrary *-algebras. These notions include freeness of Voiculescu, monotone independence of Muraki, Boolean independence and mixtures of them. Models of such independences are given by algebras generated by creation and annihilation operators acting on various deformations of the full Fock space, which produce new interesting examples of operator algebras to investigate. On the other hand, classical properties enjoyed by commutative random variables are also generalized to these noncommutative settings. This includes studies of various convolutions of probability measures described by appropriate moment-cumulant relations. Deformations of measures and convolutions can be generalized to the level of operators, which leads to new results in operator theory.

* Jurij Volcic, James Eldred Pascoe*

**Jurij Volcic**(University of Copenhagen, Denmark)

**James Eldred Pascoe**(University of Florida, USA)

* Ilya Spitkovsky, Thomas Schulte-Herbrüggen*

**Ilya Spitkovsky**(New York University Abu Dhabi, United Arab Emirates)

**Thomas Schulte-Herbrüggen**(Technische Universität München, Germany)

* Tomasz Kania, Niels Laustsen, Kevin Beanland*

**Tomasz Kania**(Jagiellonian University in Kraków, Czech Academyof Sciences)

**Niels Laustsen**(Lancaster University, United Kingdom)

**Kevin Beanland**(Washington & Lee University, USA)

* Petru Cojuhari, Aurelian Gheondea*

**Petru Cojuhari**(AGH University of Technology Kraków, Poland)

**Aurelian Gheondea**(Bilkent University, Ankara, Turkey, "Simion Stoilow" Institute of Mathematics, Romania)

* David Kribs, Karol Życzkowski*

**David Kribs**(University of Guelph, Canada)

**Karol Życzkowski**(Jagiellonian University Kraków, Poland)

* Elias Katsoulis, Matthew Kennedy*

**Elias Katsoulis**(East Carolina University, USA)

**Matthew Kennedy**(University of Waterloo, Canada)

* Daniel Alpay, Paula Cerejeiras, Fabrizio Colombo*

**Daniel Alpay**(Chapman University, California, USA)

**Paula Cerejeiras**(University of Aveiro, Portugal)

**Fabrizio Colombo**(Politecnico di Milano, Italy)

* Jochen Glück, Henrik Kreidler*

**Jochen Glück**(University of Passau, Germany)

**Henrik Kreidler**(University of Wuppertal, Germany)

- In the theory of dynamical systems, techniques that employ the so-called Koopman operator of the system - a positive linear operator on an infinite dimensional space which encodes all information of the underlying non-linear system - plays an increasingly prominent role. It allows to approach topological, measure-preserving and smooth dynamics from an operator theoretic perspective.
- The asymptotic behavior of operators and operator semigroups is much more accessible under the assumption of positivity (which is automatically fulfilled in many applications). A variety of new methods have been developed to study the long-term behavior of positive one-parameter operator semigroups. We intend to discuss recent progress in these topics, and to identify and highlight possible connections to other fields.

* John E. McCarthy, Łukasz Kosiński*

**John E. McCarthy**(Washington University, St. Louis, USA)

**Łukasz Kosiński**(Jagiellonian University, Kraków, Poland)

* Christiane Tretter*

**Christiane Tretter**(Bern University, Switzerland)

The spectral theory of non-selfadjoint operators has seen steadily growing interest in the last decades for at least two reasons. Firstly, non-selfadjoint operators are ubiquitous in mathematical physics, starting from classical fields such as resonances in quantum mechanics over damped wave equations in elasticity theory, flows of viscous compressible fluids in hydrodynamics to highly topical areas such as photonics and phononics. Secondly, non-selfadjoint operators exhibit a rich variety of surprising phenomena and pose interesting new challenges, such as unpleasant resolvent growth, high sensitivity of spectra to perturbations, spectral pollution outside of essential spectral gaps or spectral invisibility in numerical approximations. This special session is dedicated to recent developments in this exciting area of operator theory and its applications.

* Raul Curto*

**Raul Curto**(University of Iowa, Iowa, USA)