Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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

Download the project description in a pdf file

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 (48)
  1. 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
  2. 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
  3. 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:
    Accepted for publication
    DOI:
    10.1090/tran/8847 - link to the publication
  4. Diffusion approximation for a simple kinetic model with asymmetric interface
    Authors:
    Adam Bobrowski, Tomasz Komorowski
    Academic press:
    Journal of Evolution Equations , Wydawca: Springer
    Status:
    Submitted
  5. 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
  6. 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
  7. 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:
    Accepted for publication
    DOI:
    10.1090/tran/8847 - link to the publication
  8. Heat flow in a periodically forced, thermostatted chain
    Authors:
    Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla
    Academic press:
    Commun. Math. Phys. (rok: 2023, tom: Nie nadany, strony: Nie nadane), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00220-023-04654-4 - link to the publication
  9. 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: Nie nadany, strony: Nie nadane), Wydawca: Brazilian Mathematical Society
    Status:
    Submitted
  10. 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
  11. 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: Nie nadany, strony: Nie nadane), Wydawca: Wiley and Sons
    Status:
    Accepted for publication
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. KPZ ON TORUS: GAUSSIAN FLUCTUATIONS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Annales de l'Institut Henri Poincaré , Wydawca: Institute of Mathematical Statistics
    Status:
    Submitted
  19. 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
  20. 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
  21. 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
  22. 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: 2022, tom: Nie nadany, strony: Nie nadane), Wydawca: Springer
    Status:
    Submitted
  23. 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: Nie nadany, strony: Nie nadane), Wydawca: Springer
    Status:
    Submitted
  24. HOPF TYPE LEMMAS FOR SUBSOLUTIONS OF INTEGRO-DIFFERENTIAL EQUATIONS
    Authors:
    Tomasz Klimsiak, Tomasz Komorowski
    Academic press:
    Bernoulli (rok: 2023, tom: Nie nadany, strony: Nie nadane), Wydawca: International Statistical Institute
    Status:
    Accepted for publication
  25. 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
  26. 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
  27. 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
  28. 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: 2022, tom: Nie nadany, strony: Nie nadane), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-023-01251-3 - link to the publication
  29. ASYMPTOTIC SCATTERING BY POISSONIAN THERMOSTATS
    Authors:
    Tomasz Komorowski, Stefano Olla
    Academic press:
    Annales Henri Poincaré (rok: 2022, tom: Online First, strony: ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01173-1 - link to the publication
  30. KPZ ON TORUS: GAUSSIAN FLUCTUATIONS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Annales de l'Institut Henri Poincaré , Wydawca: Institute of Mathematical Statistics
    Status:
    Submitted
  31. 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
  32. KPZ ON TORUS: GAUSSIAN FLUCTUATIONS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Annales de l'Institut Henri Poincaré , Wydawca: Institute of Mathematical Statistics
    Status:
    Submitted
  33. 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
  34. ASYMPTOTIC SCATTERING BY POISSONIAN THERMOSTATS
    Authors:
    Tomasz Komorowski, Stefano Olla
    Academic press:
    Annales Henri Poincaré (rok: 2022, tom: Online First, strony: ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-022-01173-1 - link to the publication
  35. 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:
    Submitted
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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
  45. Fluctuations of the winding number of a directed
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    SIAM Journ. Math. Anal. (rok: 2023, tom: Nie nadany, strony: Nie nadane), Wydawca: SIAM
    Status:
    Accepted for publication
    DOI:
    Nie - link to the publication
  46. 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
  47. GAUSSIAN FLUCTUATIONS OF REPLICA OVERLAP IN DIRECTED POLYMERS
    Authors:
    Yu Gu, Tomasz Komorowski
    Academic press:
    Electronic Communications in Probability , Wydawca: International Statistical Institute
    Status:
    Submitted
  48. HOPF TYPE LEMMAS FOR SUBSOLUTIONS OF INTEGRO-DIFFERENTIAL EQUATIONS
    Authors:
    Tomasz Klimsiak, Tomasz Komorowski
    Academic press:
    Bernoulli , Wydawca: International Statistical Institute
    Status:
    Submitted

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy