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Information on the principal investigator and host institution

Information of the project and the call

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Lévy processes and non-local Schrödinger operators

2019/35/B/ST1/02421

Keywords:

Lévy process Schrödinger operator Feynman-Kac semigroup Bernstein function eigenvalue eigenfunction ground state hipercontraction progressive intrinsic ultracontractivity random environment Anderson model

Descriptors:

  • ST1_013:
  • ST1_009:
  • ST1_012:

Panel:

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

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Kamil Kaleta 

Number of co-investigators in the project: 5

Call: OPUS 18 - announced on 2019-09-16

Amount awarded: 428 400 PLN

Project start date (Y-m-d): 2020-06-26

Project end date (Y-m-d): 2025-06-25

Project duration:: 60 months (the same as in the proposal)

Project status: Project completed

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 (18)
  1. On directional convolution equivalent densities
    Authors:
    Kamil Kaleta, Daniel Ponikowski
    Academic press:
    Electronic Journal of Probability (rok: 2022, tom: 27, no. 65, strony: 45676), Wydawca: Institute of Mathematical Statistics and Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/22-EJP790 - link to the publication
  2. Integral kernels of Schrödinger semigroups with nonnegative locally bounded potentials
    Authors:
    Miłosz Baraniewicz, Kamil Kaleta
    Academic press:
    Studia Mathematica (rok: 2024, tom: 275, strony: 147-173), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm230525-9-1 - link to the publication
  3. Decay of harmonic functions for discrete time Feynman-Kac operators with confining potentials
    Authors:
    Wojciech Cygan, Kamil Kaleta, Mateusz Śliwiński
    Academic press:
    ALEA Latin American Journal of Probability and Mathematical Statistics (rok: 2022, tom: 19, strony: 1071-1101), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.30757/ALEA.v19-44 - link to the publication
  4. On directional convolution equivalent densities
    Authors:
    Kamil Kaleta, Daniel Ponikowski
    Academic press:
    Electronic Journal of Probability (rok: 2022, tom: 27, no. 65, strony: 45676), Wydawca: Institute of Mathematical Statistics and Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/22-EJP790 - link to the publication
  5. Exponential densities and compound Poisson measures
    Authors:
    Miłosz Baraniewicz, Kamil Kaleta
    Academic press:
    Mathematische Nachrichten (rok: 2022, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Wiley-VCH
    Status:
    Accepted for publication
  6. On directional convolution equivalent densities
    Authors:
    Kamil Kaleta, Daniel Ponikowski
    Academic press:
    Electronic Journal of Probability
    Status:
    Submitted
  7. Decay of harmonic functions for discrete time Feynman-Kac operators with confining potentials
    Authors:
    Wojciech Cygan, Kamil Kaleta, Mateusz Śliwiński
    Academic press:
    ALEA Latin American Journal of Probability and Mathematical Statistics (rok: 2022, tom: 19, strony: 1071-1101), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.30757/ALEA.v19-44 - link to the publication
  8. On directional convolution equivalent densities
    Authors:
    Kamil Kaleta, Daniel Ponikowski
    Academic press:
    Electronic Journal of Probability (rok: 2022, tom: 27, no. 65, strony: 45676), Wydawca: Institute of Mathematical Statistics and Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/22-EJP790 - link to the publication
  9. Density of states for the Anderson model on nested fractals
    Authors:
    Hubert Balsam, Kamil Kaleta, Mariusz Olszewski, Katarzyna Pietruska-Pałuba
    Academic press:
    Analysis and Mathematical Physics (rok: 2024, tom: 14, strony: article number 23), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13324-024-00880-8 - link to the publication
  10. Exponential densities and compound Poisson measures
    Authors:
    Miłosz Baraniewicz, Kamil Kaleta
    Academic press:
    Mathematische Nachrichten (rok: 2023, tom: 296 (11), strony: 5077-5108), Wydawca: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/mana.202200271 - link to the publication
  11. Density of states for the Anderson model on nested fractals
    Authors:
    Hubert Balsam, Kamil Kaleta, Mariusz Olszewski, Katarzyna Pietruska-Pałuba
    Academic press:
    Analysis and Mathematical Physics (rok: 2024, tom: 14, strony: article number 23), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13324-024-00880-8 - link to the publication
  12. Heat kernels of non-local Schrödinger operators with Kato potentials
    Authors:
    Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 340, strony: 273-308), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.08.038 - link to the publication
  13. Decay of harmonic functions for discrete time Feynman-Kac operators with confining potentials
    Authors:
    Wojciech Cygan, Kamil Kaleta, Mateusz Śliwiński
    Academic press:
    ALEA Latin American Journal of Probability and Mathematical Statistics (rok: 2022, tom: 19, strony: 1071-1101), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.30757/ALEA.v19-44 - link to the publication
  14. Heat kernels of non-local Schrödinger operators with Kato potentials
    Authors:
    Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 340, strony: 273-308), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.08.038 - link to the publication
  15. Quasi-ergodicity of compact strong Feller semigroups on L^2
    Authors:
    Kamil Kaleta, Rene L. Schilling
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2025, tom: 24 (2), strony: 541-584), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748024000410 - link to the publication
  16. Exponential densities and compound Poisson measures
    Authors:
    Miłosz Baraniewicz, Kamil Kaleta
    Academic press:
    Mathematische Nachrichten (rok: 2023, tom: 296 (11), strony: 5077-5108), Wydawca: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/mana.202200271 - link to the publication
  17. Heat kernels of non-local Schrödinger operators with Kato potentials
    Authors:
    Tomasz Grzywny, Kamil Kaleta, Paweł Sztonyk
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 340, strony: 273-308), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.08.038 - link to the publication
  18. Decay of harmonic functions for discrete time Feynman-Kac operators with confining potentials
    Authors:
    Wojciech Cygan, Kamil Kaleta, Mateusz Śliwiński
    Academic press:
    ALEA Latin American Journal of Probability and Mathematical Statistics
    Status:
    Submitted

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