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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Anisotropic Levy-type operators.

2019/35/B/ST1/01633

Keywords:

stable processes Lévy processes semigroups of operators strong Feller property potential theory Schrödinger operators boundary problems harmonic functions

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 :

Politechnika Wrocławska, Wydział Matematyki

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Michał Ryznar 

Number of co-investigators in the project: 3

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

Amount awarded: 260 040 PLN

Project start date (Y-m-d): 2020-06-22

Project end date (Y-m-d): 2024-06-21

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

Project status: Project settled

Project description

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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 (8)
  1. ON WEAK SOLUTION OF SDE DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, ALEXEI KULIK, MICHAŁ RYZNAR
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2022, tom: vol. 375, nr 7, s. 4567-4618., strony: 4567-4618), Wydawca: Amarican
    Status:
    Published
    DOI:
    10.1090/tran/8612 - link to the publication
  2. DRIFT REDUCTION METHOD FOR SDES DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, OLEKSII KULYK, MICHAL RYZNAR
    Academic press:
    Bernoulli (rok: 2022, tom: ??, strony: ??), Wydawca: Bernoulli Society for Mathematical Statistics and Probability
    Status:
    Submitted
  3. ON WEAK SOLUTION OF SDE DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, ALEXEI KULIK, MICHAŁ RYZNAR
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
    Status:
    Accepted for publication
  4. ON WEAK SOLUTION OF SDE DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, ALEXEI KULIK, MICHAŁ RYZNAR
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
    Status:
    Accepted for publication
  5. ON WEAK SOLUTION OF SDE DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, ALEXEI KULIK, MICHAŁ RYZNAR
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2022, tom: vol. 375, nr 7, s. 4567-4618., strony: 4567-4618), Wydawca: Amarican
    Status:
    Published
    DOI:
    10.1090/tran/8612 - link to the publication
  6. INTRINSIC ULTRACONTRACTIVITY FOR SCHRÖDINGER SEMIGROUPS BASED ON CYLINDRICAL FRACTIONAL LAPLACIAN ON THE PLANE
    Authors:
    TADEUSZ KULCZYCKI, KINGA SZTONYK
    Academic press:
    Semigroup Forum (rok: 2024, tom: 1, strony: 45687), Wydawca: Springer
    Status:
    Submitted
  7. DRIFT REDUCTION METHOD FOR SDES DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, OLEKSII KULYK, MICHAL RYZNAR
    Academic press:
    Bernoulli (rok: 2024, tom: 30, strony: 3089-3118), Wydawca: Bernoulli Society for Mathematical Statistics and Probability
    Status:
    Published
    DOI:
    10.3150/23-BEJ1707 - link to the publication
  8. DRIFT REDUCTION METHOD FOR SDES DRIVEN BY INHOMOGENEOUS SINGULAR LEVY NOISE
    Authors:
    TADEUSZ KULCZYCKI, OLEKSII KULYK, MICHAL RYZNAR
    Academic press:
    Bernoulli (rok: 2022, tom: ??, strony: ??), Wydawca: Bernoulli Society for Mathematical Statistics and Probability
    Status:
    Submitted

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