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Brownian path preserving mappings on the Heisenberg group. / Evseev, Nikita.

в: Journal of Mathematical Analysis and Applications, Том 548, № 2, 129388, 15.08.2025.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Evseev, N 2025, 'Brownian path preserving mappings on the Heisenberg group', Journal of Mathematical Analysis and Applications, Том. 548, № 2, 129388. https://doi.org/10.1016/j.jmaa.2025.129388

APA

Evseev, N. (2025). Brownian path preserving mappings on the Heisenberg group. Journal of Mathematical Analysis and Applications, 548(2), [129388]. https://doi.org/10.1016/j.jmaa.2025.129388

Vancouver

Evseev N. Brownian path preserving mappings on the Heisenberg group. Journal of Mathematical Analysis and Applications. 2025 авг. 15;548(2):129388. doi: 10.1016/j.jmaa.2025.129388

Author

Evseev, Nikita. / Brownian path preserving mappings on the Heisenberg group. в: Journal of Mathematical Analysis and Applications. 2025 ; Том 548, № 2.

BibTeX

@article{a3b3c643b1bf41558281b460cf62bb9e,
title = "Brownian path preserving mappings on the Heisenberg group",
abstract = "We study continuous mappings on the Heisenberg group that preserve horizontal Brownian motion up to a time change. It is proved that only harmonic morphisms possess this property.",
keywords = "Brownian motion, Harmonic morphism, Heisenberg group, Levi stochastic area process",
author = "Nikita Evseev",
year = "2025",
month = aug,
day = "15",
doi = "10.1016/j.jmaa.2025.129388",
language = "English",
volume = "548",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier Science Publishing Company, Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Brownian path preserving mappings on the Heisenberg group

AU - Evseev, Nikita

PY - 2025/8/15

Y1 - 2025/8/15

N2 - We study continuous mappings on the Heisenberg group that preserve horizontal Brownian motion up to a time change. It is proved that only harmonic morphisms possess this property.

AB - We study continuous mappings on the Heisenberg group that preserve horizontal Brownian motion up to a time change. It is proved that only harmonic morphisms possess this property.

KW - Brownian motion

KW - Harmonic morphism

KW - Heisenberg group

KW - Levi stochastic area process

UR - https://www.mendeley.com/catalogue/697ffc6b-50e3-31fd-b8c3-0d5076db9701/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85218174811&origin=inward&txGid=082df3d5fd46591a2dbbe6c124356bb5

U2 - 10.1016/j.jmaa.2025.129388

DO - 10.1016/j.jmaa.2025.129388

M3 - Article

VL - 548

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

M1 - 129388

ER -

ID: 64832073