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 (21)
  1. HOPF TYPE LEMMAS FOR SUBSOLUTIONS OF INTEGRO-DIFFERENTIAL EQUATIONS
    Authors:
    Tomasz Klimsiak, Tomasz Komorowski
    Academic press:
    Bernoulli (rok: 2023, tom: 29, strony: 1435-1463), Wydawca: International Statistical Institute
    Status:
    Published
    DOI:
    10.3150/22-BEJ1505 - link to the publication
  2. GAUSSIAN FLUCTUATIONS OF REPLICA OVERLAP IN DIRECTED POLYMERS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Electronic Communications in Probability (rok: 2022, tom: 27, strony: article no. 33), Wydawca: International Statistical Institute
    Status:
    Published
    DOI:
    10.1214/22-ECP476 - link to the publication
  3. High Temperature Behaviors of the Directed Polymer on a Cylinder
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Journal of Statistical Physics (rok: 2022, tom: 186, strony: artykuł 48), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-022-02899-2 - link to the publication
  4. 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 (rok: 2022, tom: 38, strony: 325–341), Wydawca: Brazilian Mathematical Society
    Status:
    Published
    DOI:
    10.21711/217504322023/em3812 - link to the publication
  5. KPZ ON TORUS: GAUSSIAN FLUCTUATIONS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (rok: 2024, tom: 60, strony: 1570-1618), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/23-AIHP1392 - link to the publication
  6. 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 (rok: 2024, tom: 189, strony: 721-769,), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-023-01251-3 - link to the publication
  7. KPZ ON TORUS: GAUSSIAN FLUCTUATIONS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (rok: 2024, tom: 60, strony: 1570-1618), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/23-AIHP1392 - link to the publication
  8. FLUCTUATIONS OF THE KPZ EQUATION ON A LARGE TORUS
    Authors:
    Alex Dunlap, Yu Gu, Tomasz Komorowski
    Academic press:
    Communications on pure and applied mathematics (rok: 2023, tom: 76, strony: 3104-3149), Wydawca: Wiley and Sons
    Status:
    Published
    DOI:
    10.1002/cpa.22110 - link to the publication
  9. Diffusion approximation for a simple kinetic model with asymmetric interface
    Authors:
    Adam Bobrowski, Tomasz Komorowski
    Academic press:
    Journal of Evolution Equations (rok: 2022, tom: 22, strony: Paper No. 42), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-022-00801-x - link to the publication
  10. Effective diffusivities in periodic KPZ
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Probability Theory and Related Fields (rok: 2024, tom: 190,, strony: 1007-1061), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-024-01297-x - link to the publication
  11. ASYMPTOTIC SCATTERING BY POISSONIAN THERMOSTATS
    Authors:
    Tomasz Komorowski, Stefano Olla
    Academic press:
    Annales Henri Poincaré (rok: 2022, tom: 23, strony: 3753-3790), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01173-1 - link to the publication
  12. 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 (rok: 2024, tom: 191, strony: Article: 30), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-024-03243-6 - link to the publication
  13. 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 (rok: 2023, tom: 76, strony: 3104-3149), Wydawca: Wiley and Sons
    Status:
    Published
    DOI:
    10.1002/cpa.22110 - link to the publication
  14. 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 (rok: 2024, tom: 191, strony: Article: 30), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-024-03243-6 - link to the publication
  15. Heat flow in a periodically forced, thermostatted chain II
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Journ. Stat. Phys. (rok: 2022, tom: 190, strony: artykuł 87), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-023-03103-9 - link to the publication
  16. Another look at the Balazs-Quastel-Seppalainen theorem
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Trans. Amer. Math. Soc. (rok: 2023, tom: 376, strony: 2947-2962), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8847 - link to the publication
  17. 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 (rok: 2022, tom: 38, strony: 325–341), Wydawca: Brazilian Mathematical Society
    Status:
    Published
    DOI:
    10.21711/217504322023/em3812 - link to the publication
  18. Heat flow in a periodically forced, thermostatted chain
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Commun. Math. Phys. (rok: 2023, tom: 400, strony: 2181-2225), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-023-04654-4 - link to the publication
  19. Heat flow in a periodically forced, thermostatted chain
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Commun. Math. Phys. (rok: 2023, tom: 400, strony: 2181-2225), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-023-04654-4 - link to the publication
  20. Fluctuations of the winding number of a directed polymer on a cylinder
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    SIAM Journ. Math. Anal. (rok: 2023, tom: 55, strony: 3262-3286), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/22M1512508 - link to the publication
  21. Fluctuations of the winding number of a directed
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    SIAM Journ. Math. Anal. (rok: 2023, tom: 55, strony: 3262-3286), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/22M1512508 - link to the publication

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