- {\displaystyle \Omega } is a
fundamental domain of a lattice. In 2003, Alex
Iosevich, Nets Katz and
Terence Tao
proved that the
conjecture holds if Ω {\displaystyle...
- sets of
Hausdorff dimension two
whose distance sets have
measure zero.
Iosevich, Alex (2019), "What is ... Falconer's conjecture?" (PDF),
Notices of the...
- 2018-11-22.. See in
particular Conjecture 23, p. 327. Arutyunyants, G.;
Iosevich, A. (2004). "Falconer conjecture,
spherical averages and
discrete analogs"...
-
smallest possible distance set? It was
written by
Julia Garibaldi, Alex
Iosevich, and
Steven Senger, and
published in 2011 by the
American Mathematical...
-
unflagged free DOI (link) Chapman, Jeremy; Erdoğan, M. Burak; Hart, Derrick;
Iosevich, Alex; Koh,
Doowon (2012). "Pinned
distance sets, k-simplices, Wolff's...
-
Princeton University Press, p. 1, ISBN 9780691148908 Garibaldi, Julia;
Iosevich, Alex; Senger,
Steven (2011), The Erdős
Distance Problem,
Student Mathematical...
- 53 (5): 248–250. doi:10.2307/2305092. JSTOR 2305092. Garibaldi, Julia;
Iosevich, Alex; Senger,
Steven (2011), The Erdős
Distance Problem,
Student Mathematical...
-
shape descriptor in
computer vision.
Distance matrix Arutyunyants, G.;
Iosevich, A. (2004), "Falconer conjecture,
spherical averages and
discrete analogs"...
- 1080/02331934.2018.1476513, MR 3985200, S2CID 126177709 Garibaldi, Julia;
Iosevich, Alex; Senger,
Steven (2011), The Erdős
Distance Problem,
Student Mathematical...
-
showed that it is at most n − √n/3,
stronger for ten or more dimensions.
Iosevich &
Pedersen (1998) and Lagarias,
Reeds & Wang (2000)
found close connections...
