Analytic capacity and dimension of sets with plenty of big projections

Approved

Classifications

MinEdu publication type
A1 Journal article (peer-reviewed)
Definition
Article
Target group
Scientific
Peer reviewed
Peer-reviewed
Article type
Journal article
Host publication type
Journal

Authors of the publication

Number of authors
2
Authors
DąBrowski, Damian; Villa, Michele
Local authors
Author
Villa, Michele

Publication channel information

Title of journal/series
Transactions of the american mathematical society
ISSN (print)
0002-9947
ISSN (electronic)
1088-6850
ISSN (linking)
0002-9947
Publisher
American mathematical society
Publication forum ID
68586
Publication forum level
3
Country of publication
United States
Internationality
Yes

Detailed publication information

Publication year
2025
Bibliographical publication year
2025
Reporting year
2025
Journal/series volume number
378
Journal/series issue number
6
Page numbers
3897-3950
DOI
10.1090/tran/9265
Language of publication
English

Co-publication information

International co-publication
Yes
Co-publication with a company
No

Availability

Link to online publication

Classification and additional information

MinEdu field of science classification
111 Mathematics
Keywords
Analyst’s Traveling Salesman Theorem; Analytic capacity; Besicovitch projection theorem; orthogonal projections; quantitative rectifiability; Vitushkin’s conjecture; wiggly sets; β-numbers

Funding information

Funding information in the publication
The authors were supported by the Academy of Finland via the project Incidences on Fractals, grant No. 321896. The second author was also supported by a starting grant of the University of Oulu
Funders
Funder
Research Council of Finland (former Academy of Finland)
Name of funding
-
Funding decision
-

Source database ID

WoS ID
WOS:001615205500004
Scopus ID
2-s2.0-105005995149