Skokowe procesy Markowa i ich zaburzenia schroedingerowskie

2012/04/S/ST1/00093

Descriptors

  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna

Panel

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

Host institution

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Kamil Kaleta

Number of co-investigators in the project: 2

Call

FUGA 1 – announced on 2011-12-15

Amount awarded
441 000 PLN
Project start date
2012-10-01
Project end date
2015-09-30
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Information in the final report

Publication in academic press/journals (7)

  1. Small time sharp bounds for kernels of convolution semigroups

    Authors:
    Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal d'Analyse Mathématique (year: 2017, volume: 132 (1), pages: 355–394), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-017-0023-6 – link to the publication
  2. Fall-off of eigenfunctions for nonlocal Schrödinger operators with decaying potentials

    Authors:
    Kamil Kaleta, József Lőrinczi
    Academic press:
    Potential Analysis (year: 2017, volume: 46 (4), pages: 647–688), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-016-9597-3 – link to the publication
  3. Transition in the decay rates of stationary distributions of Lévy motion in an energy landscape

    Authors:
    Kamil Kaleta, József Lőrinczi
    Academic press:
    Physical Review E (year: 2016, volume: 93, pages: 22135), Publisher: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.93.022135 – link to the publication
  4. Spectral and Analytic Properties of Non-local Schrödinger Operators and Related Jump Processes

    Authors:
    József Lőrinczi, Kamil Kaleta, Samuel O. Durugo
    Academic press:
    Communications in Applied and Industrial Mathematics (CAIM) (year: 2014, volume: 6 (2), pages: e534), Publisher: Italian Society for Applied and Industrial Mathematics (SIMAI)
    Status:
    Published
    DOI:
    10.1685/journal.caim.534 – link to the publication
  5. Estimates of transition densities and their derivatives for jump Levy processes

    Authors:
    Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2015, volume: 431 (1), pages: 260-282), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.05.061 – link to the publication
  6. Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket

    Authors:
    Kamil Kaleta, Katarzyna Pietruska-Pałuba
    Academic press:
    Stochastic Processes and their Applications (year: 2015, volume: 125 (4), pages: 1244-1281), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2014.10.010 – link to the publication
  7. Upper estimates of transition densities for stable dominated semigroups

    Authors:
    Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Evolution Equations (year: 2013, volume: 13 (3), pages: 633-650), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-013-0194-2 – link to the publication

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Graphic design and implementation: Jakub Piotrowski