Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Applications of probabilistic methods in some problems of mathematical physics.

2016/23/B/ST1/00492

Keywords:

harmonic oscillator chain wave function Wigner transform fractional diffusion equation Ornstein-Uhlenbeck process homogenization local ergodicity

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_12: Mathematical methods of physics
  • ST1_18: Control theory and optimisation

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 Komorowski 

Number of co-investigators in the project: 3

Call: OPUS 12 - announced on 2016-09-15

Amount awarded: 195 850 PLN

Project start date (Y-m-d): 2017-07-24

Project end date (Y-m-d): 2021-07-23

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

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.

Equipment purchased [PL]

  1. 2 sztuki komputerów przenośnych typu notebook wraz z systemami operacyjnymi. (2 szt.) (13 000 PLN)
  2. Desktop z systemem operacyjnym (8 000 PLN)
  3. Program MATLAB wraz z modułami do obliczeń symbolicznych i PDE (5 313 PLN)

Information in the final report

  • Publication in academic press/journals (18)
  • Book publications / chapters in book publications (1)
  1. A quantitative Hopf-type maximum principle for subsolutions of elliptic PDEs
    Authors:
    Adam Bobrowski, Tomasz Komorowski
    Academic press:
    Discrete & Continuous Dynamical Systems (rok: 2020, tom: 13, strony: 3495-3502), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2020248 - link to the publication
  2. Bifractional Brownian motion for H > 1 and 2HK ≤ 1
    Authors:
    Anna Talarczyk
    Academic press:
    Statistics and Probability Letters (rok: 2020, tom: 157, strony: 108628), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2019.108628 - link to the publication
  3. Diffusion limit for a kinetic equation with a thermostatted interface
    Authors:
    Giada Basile,Tomasz Komorowski,Stefano Olla
    Academic press:
    Kinetic & Related Models (rok: 2019, tom: 12, strony: 1185-1196), Wydawca: American Institute of Mathematical Sciences12
    Status:
    Published
    DOI:
    10.3934/krm.2019045 - link to the publication
  4. Fractional diffusion limit for a kinetic equation with an interface
    Authors:
    Tomasz Komorowski, Stefano Olla, Lenya Ryzhik
    Academic press:
    Annals of Probability (rok: 2020, tom: 48, strony: 2290-2322), Wydawca: Institute of mathematical statistics
    Status:
    Published
    DOI:
    10.1214/20-AOP1423 - link to the publication
  5. On the maximum principle and the quantitative version of the Hopf lemma for uniformly elliptic integro-differential operators
    Authors:
    T. Klimsiak, T. Komorowski,
    Academic press:
    Journal of Differential Equations (rok: 2021, tom: 298, strony: 346-386), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2021.07.008 - link to the publication
  6. Non-Gaussian limit of a tracer motion in an incompressible flow
    Authors:
    T. Komorowski, A. Talarczyk-Noble
    Academic press:
    Studia Mathematica , Wydawca: IM PAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  7. ERGODICITY FOR STOCHASTIC EQUATION OF NAVIER–STOKES TYPE
    Authors:
    ZDZISŁAW BRZEŹNIAK, TOMASZ KOMOROWSKI AND SZYMON PESZAT
    Academic press:
    Electronic Communications in Probability , Wydawca: Institute of Mathematical Statistics and Bernoulli Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Gaussian fluctuations from random Schroedinger equation
    Authors:
    Y. Gu, T. Komorowski,
    Academic press:
    Communications in Partial Differential Equations, (rok: 2020, tom: 46, strony: 201-232), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2020.1836493 - link to the publication
  9. Hydrodynamic limit for a chain with thermal and mechanical boundary forces.
    Authors:
    T. Komorowski, S. Olla, M. Simon,
    Academic press:
    The Electronic Journal of Probability (rok: 2021, tom: 26, art. nr 19, strony: 17899), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/21-EJP581 - link to the publication
  10. Limit theorems for integrated trawl processes with symmetric Levy bases
    Authors:
    Anna Talarczyk, Łukasz Treszczotko
    Academic press:
    Elelctronic Journal of Probability (rok: 2020, tom: 25, strony: article no. 117, 1–24), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/20-EJP509 - link to the publication
  11. Instability of SRPT, SERPT and SJF multiclass queueing networks
    Authors:
    Łukasz Kruk, Tymoteusz Chojecki
    Academic press:
    Queueing Systems, Theory and Applications , Wydawca: Springer Verlag
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. AN OPEN MICROSCOPIC MODEL OF HEAT CONDUCTION: EVOLUTION AND NON-EQUILIBRIUM STATIONARY STATES
    Authors:
    Tomasz Komorowski, Stefano Olla, Marielle Simon
    Academic press:
    Communications in Mathematical Sciences (rok: 2020, tom: 18, strony: 751-780), Wydawca: International Press of Boston
    Status:
    Published
    DOI:
    brak - link to the publication
  13. FLUCTUATIONS OF RANDOM SEMILINEAR ADVECTION EQUATIONS
    Authors:
    Gu, Y., Komorowski, T., Ryzhik, L.,
    Academic press:
    SIAM Journal of Mathematical Analysis (rok: 2018, tom: 50, strony: 5293-5336), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/18M116842X - link to the publication
  14. A PROBABILISTIC PROOF OF APRIORI L^p ESTIMATES FOR A CLASS OF DIVERGENCE FORM ELLIPTIC OPERATORS
    Authors:
    TYMOTEUSZ CHOJECKI AND TOMASZ KOMOROWSKI
    Academic press:
    Bulletin des sciences mathématiques (rok: 2020, tom: 160, strony: 102851), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.bulsci.2020.102851 - link to the publication
  15. High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat
    Authors:
    T. Komorowski, S. Olla, L. Ryzhik, H. Spohn
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2020, tom: 237, strony: 497-543), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-020-01513-7 - link to the publication
  16. Homogenization of an advection equation with locally stationary random coefficients
    Authors:
    T. Chojecki, T. Komorowski
    Academic press:
    Journal of Differential Equations (rok: 2019, tom: 267, strony: 1972-2010), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2019.03.002 - link to the publication
  17. Kinetic limit for a chain of harmonic oscillators with a point Langevin thermostat
    Authors:
    Tomasz Komorowski, Stefano Olla
    Academic press:
    Journal of Functional Analysis (rok: 2020, tom: 279, strony: 108764), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2020.108764 - link to the publication
  18. Passive tracer in non-Markovian, Gaussian velocity field
    Authors:
    Tymoteusz Chojecki
    Academic press:
    Statistics and Probability Letters (rok: 2019, tom: 145, strony: 21-27), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2018.08.002 - link to the publication
  1. Thermal boundaries in kinetic and hydrodynamic limits
    Authors:
    T. Komorowski, S. Olla
    Book:
    Recent Advances in Kinetic Equations and Applications, Springer INdAM Series (rok: 2021, tom: 48, strony: ), Wydawca: Springer
    Status:
    Accepted for publication

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