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 | 79 | 2019 |
Growth estimates in positive characteristic via collisions EA Yazici, B Murphy, M Rudnev, I Shkredov International Mathematics Research Notices 2017 (23), 7148-7189, 2017 | 60 | 2017 |
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 | 36 | 2019 |
Variations on the sum-product problem B Murphy, O Roche-Newton, I Shkredov SIAM Journal on Discrete Mathematics 29 (1), 514-540, 2015 | 34 | 2015 |
A point-line incidence identity in finite fields, and applications B Murphy, G Petridis Moscow Journal of Combinatorics and Number Theory, 2016 | 30 | 2016 |
Upper and lower bounds for rich lines in grids B Murphy American Journal of Mathematics 143 (2), 577-611, 2021 | 26 | 2021 |
Popular products and continued fractions N Moshchevitin, B Murphy, I Shkredov Israel J. Math., 2020 | 24 | 2020 |
Variations on the sum-product problem II B Murphy, O Roche-Newton, ID Shkredov SIAM Journal on Discrete Mathematics 31 (3), 1878-1894, 2017 | 22 | 2017 |
An example related to the Erdos-Falconer question over arbitrary finite fields B Murphy, G Petridis arXiv preprint arXiv:1905.05634, 2019 | 19 | 2019 |
Products of differences over arbitrary finite fields B Murphy, G Petridis Discrete Analysis 18, 42p., 2018 | 19 | 2018 |
A second wave of expanders in finite fields B Murphy, G Petridis Combinatorial and Additive Number Theory, New York Number Theory Seminar …, 2015 | 18 | 2015 |
Bisector energy and pinned distances in positive characteristic B Murphy, M Rudnev, S Stevens arXiv preprint arXiv:1908.04618, 2019 | 8 | 2019 |
The square root law and structure of finite rings A Iosevich, B Murphy, J Pakianathan Moscow Journal of Combinatorics and Number Theory, 2014 | 6 | 2014 |
Growth in some finite three-dimensional matrix groups B Murphy, J Wheeler SIAM Journal on Discrete Mathematics 34 (3), 1984-1998, 2020 | 5 | 2020 |
Group action combinatorics B Murphy arXiv preprint arXiv:1907.13569, 2019 | 5 | 2019 |
On Korobov bound concerning Zaremba's conjecture N Moshchevitin, B Murphy, I Shkredov arXiv preprint arXiv:2212.14646, 2022 | 4 | 2022 |
Growth in linear groups S Eberhard, B Murphy, L Pyber, E Szabó arXiv preprint arXiv:2107.06674, 2021 | 3 | 2021 |
Kakeya configurations in Lie groups and homogeneous spaces B Murphy, J Pakianathan Topology and its Applications 180, 1-15, 2015 | 2 | 2015 |
Group actions in arithmetic combinatorics B Murphy University of Rochester, 2016 | 1 | 2016 |