Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Macroscopic description of some physical models using methods of probability theory

2020/37/B/ST1/00426

Keywords:

open thermodynamical system microscopic dynamics of molecules scaling limits macroscopic conservation laws hydrodynamic limits boundary conditions non-equilibrium stationary state Fourier law Mosco convergence of Dirichlet forms random Schrödinger equation kinetic limit fractional diffusion equation diffusive limit homogenization of non-local operators

Descriptors:

  • ST1_013:
  • ST1_012:
  • ST1_011:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Andrzej Komorowski 

Number of co-investigators in the project: 7

Call: OPUS 19 - announced on 2020-03-16

Amount awarded: 260 400 PLN

Project start date (Y-m-d): 2021-01-18

Project end date (Y-m-d): 2026-01-17

Project duration:: 60 months (the same as in the proposal)

Project status: Pending project

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (17)
  1. GAUSSIAN FLUCTUATIONS OF REPLICA OVERLAP IN DIRECTED POLYMERS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Electronic Communications in Probability (), Wydawca: International Statistical Institute
    Status:
    Published
    DOI:
    10.1214/22-ECP476 - link to the publication
  2. Heat flow in a periodically forced, thermostatted chain
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Commun. Math. Phys. (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-023-04654-4 - link to the publication
  3. ASYMPTOTIC SCATTERING BY POISSONIAN THERMOSTATS
    Authors:
    Tomasz Komorowski, Stefano Olla
    Academic press:
    Annales Henri Poincaré (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01173-1 - link to the publication
  4. KPZ ON TORUS: GAUSSIAN FLUCTUATIONS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/23-AIHP1392 - link to the publication
  5. Another look at the Balazs-Quastel-Seppalainen theorem
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Trans. Amer. Math. Soc. (), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8847 - link to the publication
  6. Effective diffusivities in periodic KPZ
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Probability Theory and Related Fields (tom: 190,, strony: 1007-1061), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-024-01297-x - link to the publication
  7. On the behaviour of a periodically forced and thermostatted harmonic chain
    Authors:
    Pedro L. Garrido, Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Journal of Statistical Physics (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-024-03243-6 - link to the publication
  8. Diffusion approximation for a simple kinetic model with asymmetric interface
    Authors:
    Adam Bobrowski, Tomasz Komorowski
    Academic press:
    Journal of Evolution Equations (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-022-00801-x - link to the publication
  9. Fluctuation exponents of the KPZ equation on a large torus
    Authors:
    Alex Dunlap, Yu Gu, Tomasz Komorowski
    Academic press:
    Communications on pure and applied mathematics (), Wydawca: Wiley and Sons
    Status:
    Published
    DOI:
    10.1002/cpa.22110 - link to the publication
  10. FLUCTUATIONS OF THE KPZ EQUATION ON A LARGE TORUS
    Authors:
    Alex Dunlap, Yu Gu, Tomasz Komorowski
    Academic press:
    Communications on pure and applied mathematics (), Wydawca: Wiley and Sons
    Status:
    Published
    DOI:
    10.1002/cpa.22110 - link to the publication
  11. Fluctuations of the winding number of a directed polymer on a cylinder
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    SIAM Journ. Math. Anal. (), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/22M1512508 - link to the publication
  12. On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla, Marielle Simon
    Academic press:
    Ensaios Matematicos (), Wydawca: Brazilian Mathematical Society
    Status:
    Published
    DOI:
    10.21711/217504322023/em3812 - link to the publication
  13. HOPF TYPE LEMMAS FOR SUBSOLUTIONS OF INTEGRO-DIFFERENTIAL EQUATIONS
    Authors:
    Tomasz Klimsiak, Tomasz Komorowski
    Academic press:
    Bernoulli (), Wydawca: International Statistical Institute
    Status:
    Published
    DOI:
    10.3150/22-BEJ1505 - link to the publication
  14. Heat flow in a periodically forced, thermostatted chain II
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Journ. Stat. Phys. (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-023-03103-9 - link to the publication
  15. Anomalous diffusion limit for a kinetic equation with a thermostatted interface
    Authors:
    Krzysztof Bogdan, Tomasz Komorowski, Lorenzo Marino
    Academic press:
    Probability Theory and Related Fields (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-023-01251-3 - link to the publication
  16. High Temperature Behaviors of the Directed Polymer on a Cylinder
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Journal of Statistical Physics (), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-022-02899-2 - link to the publication
  17. Fluctuations of the winding number of a directed
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    SIAM Journ. Math. Anal. (), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/22M1512508 - link to the publication

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