Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Artem Dudko"'
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 12 no. 1, Iss Combinatorics (2010)
Combinatorics
Externí odkaz:
https://doaj.org/article/e5abf26c5b5c428e9d5004a6144ce084
On Lebesgue measure and Hausdorff dimension of Julia sets of real periodic points of renormalization
Autor:
Artem Dudko
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 68:151-168
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e9fc93edc94cd0427cc0ddad54062a7
https://doi.org/10.4064/ba210406-10-4
https://doi.org/10.4064/ba210406-10-4
Autor:
Rostislav Grigorchuk, Artem Dudko
Publikováno v:
Israel Journal of Mathematics
We study the question of whether or not it is possible to determine a finitely generated group G up to some notion of equivalence from the spectrum sp(G) of G. We show that the answer is “No” in a strong sense. As a first example we present the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fb3bd39e902c465410fffb2d559fe05
Autor:
Artem Dudko, Scott Sutherland
Publikováno v:
Inventiones mathematicae
We show that the Julia set of the Feigenbaum polynomial has Hausdorff dimension less than~2 (and consequently it has zero Lebesgue measure). This solves a long-standing open question.
Comment: 27 pages, 14 figures
Comment: 27 pages, 14 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a4ef79a84ddfa7074bb17e259ecb56b
Autor:
Artem Dudko
Publikováno v:
Groups, Geometry, and Dynamics. 12:1417-1427
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd517077a14f140a2c3345ee83aa6618
https://doi.org/10.4171/ggd/473
https://doi.org/10.4171/ggd/473
Autor:
Michael Yampolsky, Artem Dudko
Publikováno v:
Foundations of Computational Mathematics. 18:1233-1243
We prove that Collet-Eckmann rational maps have poly-time computable Julia sets. As a consequence, almost all real quadratic Julia sets are poly-time.
Comment: arXiv admin note: text overlap with arXiv:1404.1236
Comment: arXiv admin note: text overlap with arXiv:1404.1236
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70a43bd090806dedfca795ad51dee5af
https://doi.org/10.1007/s10208-017-9367-7
https://doi.org/10.1007/s10208-017-9367-7
Autor:
Rostislav Grigorchuk, Artem Dudko
Publikováno v:
Journal of Modern Dynamics. 11:99-123
In this paper we investigate relations between Koopman, groupoid and quasi-regular representations of countable groups. We show that for an ergodic measure class preserving action of a countable group G on a standard Borel space the associated groupo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e193b62218dfb2c644fcf8791b86a95
https://doi.org/10.3934/jmd.2017005
https://doi.org/10.3934/jmd.2017005
Autor:
Michael Yampolsky, Artem Dudko
Publikováno v:
Fundamenta Mathematicae
We find an abundance of Cremer Julia sets of an arbitrarily high computational complexity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bffac2c79bb124294877318e37d0646
http://arxiv.org/abs/1907.11047
http://arxiv.org/abs/1907.11047
Autor:
Artem Dudko, Kostya Medynets
Publikováno v:
Proceedings of the American Mathematical Society
We classify the ergodic invariant random subgroups of block-diagonal limits of symmetric groups in the cases when the groups are simple and the associated dimension groups have finite dimensional state spaces. These block-diagonal limits arise as the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::318f97fd1679ed5ef850171d09af4dd7
Autor:
Artem Dudko, David Sauzin
Publikováno v:
Comptes Rendus Mathematique. 353:265-271
Given a holomorphic germ at the origin of C with a simple parabolic fixed point, the Fatou coordinates have a common asymptotic expansion whose formal Borel transform is resurgent. We show how to use Ecalle's alien operators to study the singularitie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2179b3d9eb52d9c67c60d3d7df0135d7
https://doi.org/10.1016/j.crma.2014.11.003
https://doi.org/10.1016/j.crma.2014.11.003