CNRS-PAN Mathematics Summer Institute, Cracow 27 June - 2 July, 2016

In collaboration with the Institute of Mathematics, Jagiellonian University, Institute of Mathematics, Polish Academy of Sciences, CNRS, Imperial College London, IMP Universite Paul Sabatier Toulouse, and ANR project STAB.

Supported by Warsaw Center of Mathematics and Computer Sciences.

Organizers: Dominique Bakry (Toulouse), Szymon Peszat (Cracow), and Bogusław Zegarliński (London).

The meeting will review recent results in the area of analysis/stochastics. Besides a number of presentation by international participants, the meeting will include two mini-courses (suitable for PhD students and young researchers). There will be no conference fee, but we do ask people to register in advance. It is probable that we will be able to cover the accommodation of some number of participants (with the strong emphasis of young people and researchers without financial support of their organizations). In order to register, send an e-mail to: Szymon Peszat on e.mail adress

The venue of the workshop is: Room 0174, the main building of the Faculty of Mathematics and Computer Sciences, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków. Due to maintenance works in the faculty building, the session on Friday will be held in Institute of Mathematics, Polish Academy of Sciences, Tomasza 30/7.
Unfortunatelly the building is not in the center of the town. You may need about 40 minutes to go there. In order to help you to reach the place, the first day of the Workshop, Mondey 27.06 at 9 am there will be some local participant waiting in the receptions of Stanisław Pigoń Visiting Professors' House (Garbarska 7a) and Cybulskiego GuestRooms (Cybulskiego Street) where most of the participants have accomodation.

Previous and related activities: Minicourses:
  • Tomasz Szarek (Gdańsk): Ergodic properties of Markov processes.
    Abstract: The series of lectures will be devoted to ergodic properties of Feller semigroups with the so-called e-property (an equicontinuity condition). Our first purpose will be to formulate criteria for the existence of an invariant measure and its ergodicity. Applications to some stochastic evolution equations in Hilbert spaces and random maps will be given in the second part of my talks.
  • Ewelina Zatorska (Imperial College London): The basis of the mathematical theory of compressible, chemically reacting mixtures.
    Abstract: In this series of talks I will present the basics of the mathematical theory of weak solutions to compressible Navier-Stokes system. Then I will present the full system including chemical reactions, discuss the simplifications and explain challenges in the analysis of thermodynamically consistent system. The last part of my talk will be devoted to analysis of this system with degenerate viscosity coefficients.
    The course will be based on the following references:
    1. V. Giovangigli. Multicomponent flow modeling. Birkhauser Boston Inc., Boston, MA, 1999.
    2. E. Feireisl, M. Pokorny. Mathematical theory of compressible viscous fluids, available at
    3. P.-L. Lions.Mathematical topics in fluid mechanics. Vol. 2 Compressible Models, Oxford University Press, New York, 1998.
    4. P. B. Mucha, M. Pokorny, E. Zatorska. Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution. SIMA, Vol. 47, No. 5, pp. 3747-3797, 2015.
    5. E. Zatorska. On the flow of chemically reacting gaseous mixture. J. Differential Equations, 253:3471--3500, 2012.

Participants: Maryam Alrashed (Kuwait), Klaudiusz Czudek (Gdańsk), Pierre Fougéres (Toulouse), Grzegorz Guzik (Kraków), Piotr Kalita (Kraków), Edyta Kolmer (Kraków), Radosław Kycia (Kraków), Mateusz Majka (Bonn), Ewa Marciniak (Kraków), Rafal Martynek (Warszawa), Szymon Peszat (Kraków), Tomasz Szarek (Gdańsk), Maciej Szczecinski (Zielona Góra), Jan Rozendaal (Warszawa), Yong Sul Won (London), Andrei Velicu (London), Ewelina Zatorska (London), Dariusz Zawisza (Kraków), Bogusław Zegarliński (London), Piotr Zgliczyński (Kraków), Andrzej Zuk (Paris).

  • Mateusz Majka: Transportation cost-information inequalities for Levy-driven SDEs via Malliavin calculus and coupling.
  • Jan Rozendaal: Operator-valued (L^{p},L^{q})-Fourier multipliers.
  • Yong Sul Won: Population dynamics of reaction-diffusion systems in heterogeneous environments.
  • Andrei Velicu: On orthogonal polynomials associated to root systems.
  • Dariusz Zawisza: Smooth solution to Isaacs equation with local conditions.
  • Bogusław Zegarliński: Markov semigroups on extended groups.
  • Andrzej Zuk: Spectra of random walks on BBS automata.

Tentative Program:

Sunday 26 June Arrival Day

Monday 27 June

10.00 - 10.30 T&C
10.30 - 12.00 Ewelina Zatorska (Mini-course 1)


13.30 - 14.15 Bogusław Zegarliński
14.15 - 14.30 T&C
14.30 - Discussion Groups

Tuesday 28 June

9.30 - 11.00 Tomasz Szarek (Mini-course 1)
11.00 - 11.15 T&C
11.15 - 12.00 Mateusz Majka


13.30 - 15.00 Ewelina Zatorska (Mini-course 2)
15.00 - 15.15 T&C
15.15 - Discussion Groups

Wednesday 29 June

9.30 - 11.00 Ewelina Zatorska (Mini-course 3)
11.00 - 11.15 T&C
11.15 - 12.00 Yong Sul Won


13.30 - 15.00 Tomasz Szarek (Mini-course 2)
15.00 - 15.15 T&C
15.15 - Discussion Groups

Thursday 30 June

9.30 - 11.00 Tomasz Szarek (Mini-course 3)
11.00 - 11.15 T&C
11.15 - 12.00 Andrei Velicu

Cultural and Touristic Activities

Friday 1 July in Institute of Mathematics, Polish Academy of Sciences, Tomasza 30/7

9.30 - 10.15 Jan Rozendaal
10.15 - 10.30 T&C
10.30 -11.15 Andrzej Zuk
11.15 - 11.30 T&C
11.30 - 12.15 Dariusz Zawisza


13.30 - 13.45 T&C
13.45 - Discussion Groups