Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Skokowe procesy Markowa i ich zaburzenia schroedingerowskie

2012/04/S/ST1/00093

Keywords:

Descriptors:

  • ST1_13: Probability and statistics

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

woj. 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 (Y-m-d): 2012-10-01

Project end date (Y-m-d): 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 (9)
  1. Small time sharp bounds for kernels of convolution semigroups
    Authors:
    Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal d'Analyse Mathématique (rok: 2017, tom: 132 (1), strony: 355–394), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-017-0023-6 - link to the publication
  2. Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket
    Authors:
    Kamil Kaleta, Katarzyna Pietruska-Pałuba
    Academic press:
    Stochastic Processes and their Applications (rok: 2017, tom: nie dotyczy, strony: 14246), Wydawca: Elsevier
    Status:
    Submitted
  3. Estimates of transition densities and their derivatives for jump Levy processes
    Authors:
    Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 431 (1), strony: 260-282), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.05.061 - 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) (rok: 2014, tom: 6 (2), strony: e534), Wydawca: Italian Society for Applied and Industrial Mathematics (SIMAI)
    Status:
    Published
    DOI:
    10.1685/journal.caim.534 - link to the publication
  5. 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 (rok: 2016, tom: 93, strony: 22135), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevE.93.022135 - link to the publication
  6. Upper estimates of transition densities for stable dominated semigroups
    Authors:
    Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Evolution Equations (rok: 2013, tom: 13 (3), strony: 633-650), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-013-0194-2 - link to the publication
  7. The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials
    Authors:
    Kamil Kaleta, Katarzyna Pietruska-Pałuba
    Academic press:
    Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques (rok: 2016, tom: nie dotyczy, strony: 13150), Wydawca: Institute of Mathematical Statistics (IMS)
    Status:
    Submitted
  8. Fall-off of eigenfunctions for nonlocal Schrödinger operators with decaying potentials
    Authors:
    Kamil Kaleta, József Lőrinczi
    Academic press:
    Potential Analysis (rok: 2017, tom: 46 (4), strony: 647–688), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-016-9597-3 - link to the publication
  9. 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 (rok: 2015, tom: 125 (4), strony: 1244-1281), Wydawca: Elsevier
    Status:
    Published