Follow
Brendan Murphy
Title
Cited by
Cited by
Year
New results on sum‐product type growth over fields
B Murphy, G Petridis, O Roche‐Newton, M Rudnev, ID Shkredov
Mathematika 65 (3), 588-642, 2019
792019
Growth estimates in positive characteristic via collisions
EA Yazici, B Murphy, M Rudnev, I Shkredov
International Mathematics Research Notices 2017 (23), 7148-7189, 2017
602017
On the pinned distances problem in positive characteristic
B Murphy, G Petridis, T Pham, M Rudnev, S Stevens
Journal of the London Mathematical Society 105 (1), 469-499, 2022
48*2022
On the few products, many sums problem
B Murphy, M Rudnev, I Shkredov, Y Shteinikov
Journal de théorie des nombres de Bordeaux 31 (3), 573-602, 2019
362019
Variations on the sum-product problem
B Murphy, O Roche-Newton, I Shkredov
SIAM Journal on Discrete Mathematics 29 (1), 514-540, 2015
342015
A point-line incidence identity in finite fields, and applications
B Murphy, G Petridis
Moscow Journal of Combinatorics and Number Theory, 2016
302016
Upper and lower bounds for rich lines in grids
B Murphy
American Journal of Mathematics 143 (2), 577-611, 2021
262021
Popular products and continued fractions
N Moshchevitin, B Murphy, I Shkredov
Israel J. Math., 2020
242020
Variations on the sum-product problem II
B Murphy, O Roche-Newton, ID Shkredov
SIAM Journal on Discrete Mathematics 31 (3), 1878-1894, 2017
222017
An example related to the Erdos-Falconer question over arbitrary finite fields
B Murphy, G Petridis
arXiv preprint arXiv:1905.05634, 2019
192019
Products of differences over arbitrary finite fields
B Murphy, G Petridis
Discrete Analysis 18, 42p., 2018
192018
A second wave of expanders in finite fields
B Murphy, G Petridis
Combinatorial and Additive Number Theory, New York Number Theory Seminar …, 2015
182015
Bisector energy and pinned distances in positive characteristic
B Murphy, M Rudnev, S Stevens
arXiv preprint arXiv:1908.04618, 2019
82019
The square root law and structure of finite rings
A Iosevich, B Murphy, J Pakianathan
Moscow Journal of Combinatorics and Number Theory, 2014
62014
Growth in some finite three-dimensional matrix groups
B Murphy, J Wheeler
SIAM Journal on Discrete Mathematics 34 (3), 1984-1998, 2020
52020
Group action combinatorics
B Murphy
arXiv preprint arXiv:1907.13569, 2019
52019
On Korobov bound concerning Zaremba's conjecture
N Moshchevitin, B Murphy, I Shkredov
arXiv preprint arXiv:2212.14646, 2022
42022
Growth in linear groups
S Eberhard, B Murphy, L Pyber, E Szabó
arXiv preprint arXiv:2107.06674, 2021
32021
Kakeya configurations in Lie groups and homogeneous spaces
B Murphy, J Pakianathan
Topology and its Applications 180, 1-15, 2015
22015
Group actions in arithmetic combinatorics
B Murphy
University of Rochester, 2016
12016
The system can't perform the operation now. Try again later.
Articles 1–20