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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Long Time, Large Scale Properties of Some Transport Phenomena

2012/07/B/ST1/03320

Keywords:

harmonic oscillator chain wave function Wigner transform Ornstein-Uhlenbeck process linear kinetic equation Fokker-Planck equation cellular flow fractional Brownian homogenization motion Einstein relation

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: 4

Call: OPUS 4 - announced on 2012-09-15

Amount awarded: 252 700 PLN

Project start date (Y-m-d): 2013-07-18

Project end date (Y-m-d): 2016-12-17

Project duration:: 41 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Drukarka laserowa (600 PLN)
  2. tablety (4 000 PLN)
  3. 4 sztuki komputerów przenośnych typu notebook wraz z systemem operacyjnym. (18 000 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  • Book publications / chapters in book publications (1)
  1. Bound on Bell inequalities by fraction of determinism and reverse triangle inequality
    Authors:
    P. Joshi, K. Horodecki, M. Horodecki, P. Horodecki, R. Horodecki, Ben Li, S. J. Szarek, T. Szarek
    Academic press:
    PHYSICAL REVIEW A (rok: 2015, tom: 92, strony: 32329), Wydawca: The American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevA.92.032329 - link to the publication
  2. Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene
    Authors:
    S. Hille i K. Horbacz, T. Szarek
    Academic press:
    Annales Mathématiques Blaise Pascal (rok: 2016, tom: 23, strony: 171-217), Wydawca: Université Blaise Pascal
    Status:
    Published
    DOI:
    10.5802/ambp.360 - link to the publication
  3. Law of the iterated logarithm for some Markov operators
    Authors:
    S. Hille i K. Horbacz, T. Szarek, H. Wojewódka
    Academic press:
    Asymptotic Analysis (rok: 2015, tom: brak, strony: brak), Wydawca: IOS Press
    Status:
    Published
    DOI:
    10.3233/ASY-151344 - link to the publication
  4. Long time energy transfer in the random Schr ̈odinger equation
    Authors:
    T. Komorowski, L. Ryzhik
    Academic press:
    Comm. Math. Phys. (rok: 2014, tom: 329, strony: 1131-1170), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-014-1999-8 - link to the publication
  5. The Accessibility of Convex Bodiesand Derandomizationof the Hit and Run Algorithm
    Authors:
    T. Szarek, B. Collins, T. Kousha, R. Kulik, K. Życzkowski
    Academic press:
    Journal of Convex Analysis (rok: 2017, tom: 24, strony: 903–916), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    brak - link to the publication
  6. Ballistic and superdiffusive scales in macroscopic evolution of a chain of oscillators
    Authors:
    T. Komorowski, S. Olla
    Academic press:
    Nonlinearity (rok: 2016, tom: 29, strony: 962–999), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/0951-7715/29/3/962 - link to the publication
  7. Superdiffusion of energy in a chain of harmonic oscillators with noise
    Authors:
    Jara, M., T. Komorowski, S. Olla
    Academic press:
    Comm. Math.Phys. (rok: 2015, tom: 339, strony: 407-453), Wydawca: Spinger
    Status:
    Published
    DOI:
    10.1007/s00220-015-2417-6 - link to the publication
  8. The weak coupling limit for the Schroedinger equation: the average wave function
    Authors:
    T. Chen. T. Komorowski, L. Ryzhik
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2018, tom: 227, strony: 387-422), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-017-1163-7 - link to the publication
  9. Convex set of quantum states with positive partial transpose analysed by hit and run algorithm
    Authors:
    K. Szymański, B. Collins, T. Szarek, K. Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2017, tom: 50, strony: 255206), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa70f5 - link to the publication
  10. Homogenization driven by a fractional Brownian motion: the shear layer case
    Authors:
    T. Komorowski, A. Novikov, L. Ryzhik
    Academic press:
    SIAM Multiscale Modeling and Simulation (rok: 2014, tom: 12, strony: 440-457), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/13092068X - link to the publication
  11. Limit theorems for some Markov chains
    Authors:
    S. Hille, K. Horbacz, T. Szarek, H. Wojewódka
    Academic press:
    Journ. of Math. Anal. and Appl. (rok: 2016, tom: 443, strony: 385-408), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.05.022 - link to the publication
  12. The law of the iterated logarithm for passive tracer in a two- dimensional flow.
    Authors:
    T. Komorowski i T. Szarek,
    Academic press:
    Journal of Lond. Math. Soc. (rok: 2014, tom: 89, strony: 482-498), Wydawca: Oxfors University Press
    Status:
    Published
    DOI:
    10.1112/jlms/jdt075 - link to the publication
  13. A criterion for essential self-adjointness of a symmetric operator defined by some infinite hermitian matrix with unbounded entries
    Authors:
    T. Komorowski
    Academic press:
    Integral Equations and Operator Theory (rok: 2015, tom: 3, strony: 231-242), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-015-2237-2 - link to the publication
  14. Diffusive propagation of energy in a non-acoustic chain.
    Authors:
    T.Komorowski, S.Olla
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2017, tom: 223, strony: 95-139), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-016-1032-9 - link to the publication
  15. Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities.
    Authors:
    T. Komorowski, S. Olla, M. Simon
    Academic press:
    Kinetic and Rel. Models (rok: 2018, tom: 11, strony: 615-645), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.3934/krm.2018026 - link to the publication
  16. On positivity of the variance of a tracer moving in a divergence-free Gaussian random field
    Authors:
    T. Chojecki, T. Komorowski,
    Academic press:
    Statistics and Probability Letters (rok: 2014, tom: 91, strony: 98-106), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2014.04.010 - link to the publication
  17. Stability of iterated function systems on the circle
    Authors:
    T. Szarek, A. Zdunik
    Academic press:
    Bulletin of London Mathematical Society (rok: 2016, tom: 48, strony: 365-378), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms/bdw013 - link to the publication
  18. Kinetic limit for a harmonic chain with a conservative Ornstein-Uhlenbeck stochastic perturbation.
    Authors:
    T. Komorowski, Ł. Stępień
    Academic press:
    Kinetic and Related Models (rok: 2018, tom: 11, strony: 239-278), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/krm.2018013 - link to the publication
  19. The "shark teeth'' is a topological IFS-attractor.
    Authors:
    M. Nowak i T. Szarek
    Academic press:
    Sibirskiĭ Matematicheskiĭ Zhurnal (rok: 2014, tom: 55, strony: 364-369), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1134/S0037446614020128 - link to the publication
  1. Thermal conductivity in harmonic lattices with random collisions.
    Authors:
    G. Basile, C. Bernardin, M. Jara, T. Komorowski and S. Olla
    Book:
    LNP, Thermal Transport in Low Dimensions, S. Lepri (ed) (rok: 2016, tom: 921, strony: 215-236), Wydawca: Springer
    Status:
    Published

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