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Besov-Orlicz Path Regularity of Non-Gaussian Processes

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F24%3A00582065" target="_blank" >RIV/67985556:_____/24:00582065 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/24:10452244

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s11118-022-10051-8" target="_blank" >https://link.springer.com/article/10.1007/s11118-022-10051-8</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11118-022-10051-8" target="_blank" >10.1007/s11118-022-10051-8</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Besov-Orlicz Path Regularity of Non-Gaussian Processes

  • Original language description

    Besov-Orlicz regularity of sample paths of stochastic processes that are represented by multiple integrals of order n is treated. Sufficient conditions for the processes to have paths in the exponential Besov-Orlicz spaces are provided. These results are an extension of what is known for scalar Gaussian stochastic processes to stochastic processes in an arbitrary finite Wiener chaos. As an application, the Besov-Orlicz path regularity of fractionally filtered Hermite processes is studied and some new path properties are obtained even for fractional Brownian motions.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    <a href="/en/project/GA19-07140S" target="_blank" >GA19-07140S: Stochastic Evolution Equations and Space-Time Systems</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Potential Analysis

  • ISSN

    0926-2601

  • e-ISSN

    1572-929X

  • Volume of the periodical

    60

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    33

  • Pages from-to

    307-339

  • UT code for WoS article

    000877446700001

  • EID of the result in the Scopus database

    2-s2.0-85141180581