## Haynes, Alan K.

Compute Distance To:
 Author ID: haynes.alan-k Published as: Haynes, Alan; Haynes, Alan K. External Links: MGP
 Documents Indexed: 42 Publications since 2003, including 1 Book 1 Contribution as Editor Co-Authors: 34 Co-Authors with 33 Joint Publications 690 Co-Co-Authors
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### Co-Authors

 8 single-authored 8 Koivusalo, Henna 5 Velani, Sanju L. 4 Walton, James J. 3 Beresnevich, Victor V. 3 Weiss, Barak 2 Baake, Michael 2 Furno, Joanna 2 Julien, Antoine 2 Kelly, Michael 2 Munday, Sara 2 Sadun, Lorenzo A. 1 Adiceam, Faustin 1 Badziahin, Dzmitry A. 1 Browning, Timothy Daniel 1 Bugeaud, Yann 1 Chen, Huayang 1 Damanik, David 1 Das, Akshat 1 Gähler, Franz 1 Ghosh, Anish 1 Grimm, Uwe 1 Harman, Glyn 1 Harrap, Stephen B. 1 Hawkins, Eli 1 Homma, Kosuke 1 Kristensen, Simon 1 Lenz, Daniel H. 1 Marklof, Jens 1 Measures, Kayleigh 1 Navas, Andrés 1 Pollington, Andrew Douglas 1 Ramirez, Juan J. 1 Treviño, Rodrigo 1 Vaaler, Jeffrey D. 1 White, Christopher J. 1 Zudilin, Wadim
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### Serials

 4 Journal of Number Theory 4 International Journal of Number Theory 3 Acta Arithmetica 3 Proceedings of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 2 Mathematische Annalen 2 The New York Journal of Mathematics 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Indagationes Mathematicae. New Series 1 The Journal of Symplectic Geometry 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Moscow Journal of Combinatorics and Number Theory 1 Arnold Mathematical Journal
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### Fields

 34 Number theory (11-XX) 11 Dynamical systems and ergodic theory (37-XX) 6 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 150 times in 95 Documents Cited by Year
The Duffin-Schaeffer conjecture with extra divergence. Zbl 1333.11069
Haynes, Alan K.; Pollington, Andrew D.; Velani, Sanju L.
2012
The Duffin-Schaeffer conjecture with extra divergence. II. Zbl 1333.11068
Beresnevich, Victor; Harman, Glyn; Haynes, Alan; Velani, Sanju
2013
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices. Zbl 1341.11043
Haynes, Alan; Koivusalo, Henna
2016
Equivalence relations on separated nets arising from linear toral flows. Zbl 1351.37101
Haynes, Alan; Kelly, Michael; Weiss, Barak
2014
Gaps problems and frequencies of patches in cut and project sets. Zbl 1371.11110
Haynes, Alan; Koivusalo, Henna; Walton, James; Sadun, Lorenzo
2016
A note on Farey fractions with odd denominators. Zbl 1056.11009
Haynes, Alan
2003
A characterization of linearly repetitive cut and project sets. Zbl 1384.52018
Haynes, Alan; Koivusalo, Henna; Walton, James
2018
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
2017
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices. II. Zbl 1368.11071
Haynes, Alan; Kelly, Michael; Koivusalo, Henna
2017
Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069
Bugeaud, Yann; Haynes, Alan; Velani, Sanju
2011
Equivalence classes of codimension-one cut-and-project nets. Zbl 1356.37009
Haynes, Alan
2016
Multiplicative zero-one laws and metric number theory. Zbl 1292.11085
Beresnevich, Victor; Haynes, Alan; Velani, Sanju
2013
A note on Farey fractions with denominators in arithmetic progressions. Zbl 1253.11022
Badziahin, Dzmitry A.; Haynes, Alan K.
2011
The distribution of special subsets of the Farey sequence. Zbl 1053.11013
Haynes, Alan
2004
The metric theory of $$p$$-adic approximation. Zbl 1246.11132
Haynes, Alan K.
2010
Projective metric number theory. Zbl 1391.11088
Ghosh, Anish; Haynes, Alan
2016
Quantitative ergodic theorems for weakly integrable functions. Zbl 1296.37009
Haynes, Alan
2014
Diophantine approximation and coloring. Zbl 1328.05065
Haynes, Alan; Munday, Sara
2015
Perfectly ordered quasicrystals and the Littlewood conjecture. Zbl 1394.11058
Haynes, Alan; Koivusalo, Henna; Walton, James
2018
Hankel determinants of zeta values. Zbl 1387.11054
2015
Bounded remainder sets for rotations on the adelic torus. Zbl 1458.11113
Furno, Joanna; Haynes, Alan; Koivusalo, Henna
2019
Metrical musings on Littlewood and friends. Zbl 1327.11050
Haynes, A.; Jensen, J. L.; Kristensen, S.
2014
Incomplete Kloosterman sums and multiplicative inverses in short intervals. Zbl 1271.11082
Browning, T. D.; Haynes, A.
2013
Numerators of differences of nonconsecutive Farey fractions. Zbl 1203.11022
Haynes, Alan K.
2010
The mixed Littlewood conjecture for pseudo-absolute values. Zbl 1300.11082
Harrap, Stephen; Haynes, Alan
2013
The group ring of $$\mathbb Q/\mathbb Z$$ and an application of a divisor problem. Zbl 1266.11096
Haynes, Alan K.; Homma, Kosuke
2009
Inhomogeneous approximation by coprime integers. Zbl 1276.11117
Haynes, Alan
2012
A randomized version of the Littlewood conjecture. Zbl 1418.11108
Haynes, Alan; Koivusalo, Henna
2017
Density of orbits of semigroups of endomorphisms acting on the adeles. Zbl 1280.54023
Haynes, Alan; Munday, Sara
2013
Statistics of patterns in typical cut and project sets. Zbl 1448.37010
Haynes, Alan; Julien, Antoine; Koivusalo, Henna; Walton, James
2019
Sums of reciprocals of fractional parts and multiplicative Diophantine approximation. Zbl 1445.11002
Beresnevich, Victor; Haynes, Alan; Velani, Sanju
2020
Higher dimensional Steinhaus and Slater problems via homogeneous dynamics. Zbl 1475.11130
Haynes, Alan; Marklof, Jens
2020
Sums of reciprocals of fractional parts and multiplicative Diophantine approximation. Zbl 1445.11002
Beresnevich, Victor; Haynes, Alan; Velani, Sanju
2020
Higher dimensional Steinhaus and Slater problems via homogeneous dynamics. Zbl 1475.11130
Haynes, Alan; Marklof, Jens
2020
Bounded remainder sets for rotations on the adelic torus. Zbl 1458.11113
Furno, Joanna; Haynes, Alan; Koivusalo, Henna
2019
Statistics of patterns in typical cut and project sets. Zbl 1448.37010
Haynes, Alan; Julien, Antoine; Koivusalo, Henna; Walton, James
2019
A characterization of linearly repetitive cut and project sets. Zbl 1384.52018
Haynes, Alan; Koivusalo, Henna; Walton, James
2018
Perfectly ordered quasicrystals and the Littlewood conjecture. Zbl 1394.11058
Haynes, Alan; Koivusalo, Henna; Walton, James
2018
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
2017
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices. II. Zbl 1368.11071
Haynes, Alan; Kelly, Michael; Koivusalo, Henna
2017
A randomized version of the Littlewood conjecture. Zbl 1418.11108
Haynes, Alan; Koivusalo, Henna
2017
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices. Zbl 1341.11043
Haynes, Alan; Koivusalo, Henna
2016
Gaps problems and frequencies of patches in cut and project sets. Zbl 1371.11110
Haynes, Alan; Koivusalo, Henna; Walton, James; Sadun, Lorenzo
2016
Equivalence classes of codimension-one cut-and-project nets. Zbl 1356.37009
Haynes, Alan
2016
Projective metric number theory. Zbl 1391.11088
Ghosh, Anish; Haynes, Alan
2016
Diophantine approximation and coloring. Zbl 1328.05065
Haynes, Alan; Munday, Sara
2015
Hankel determinants of zeta values. Zbl 1387.11054
2015
Equivalence relations on separated nets arising from linear toral flows. Zbl 1351.37101
Haynes, Alan; Kelly, Michael; Weiss, Barak
2014
Quantitative ergodic theorems for weakly integrable functions. Zbl 1296.37009
Haynes, Alan
2014
Metrical musings on Littlewood and friends. Zbl 1327.11050
Haynes, A.; Jensen, J. L.; Kristensen, S.
2014
The Duffin-Schaeffer conjecture with extra divergence. II. Zbl 1333.11068
Beresnevich, Victor; Harman, Glyn; Haynes, Alan; Velani, Sanju
2013
Multiplicative zero-one laws and metric number theory. Zbl 1292.11085
Beresnevich, Victor; Haynes, Alan; Velani, Sanju
2013
Incomplete Kloosterman sums and multiplicative inverses in short intervals. Zbl 1271.11082
Browning, T. D.; Haynes, A.
2013
The mixed Littlewood conjecture for pseudo-absolute values. Zbl 1300.11082
Harrap, Stephen; Haynes, Alan
2013
Density of orbits of semigroups of endomorphisms acting on the adeles. Zbl 1280.54023
Haynes, Alan; Munday, Sara
2013
The Duffin-Schaeffer conjecture with extra divergence. Zbl 1333.11069
Haynes, Alan K.; Pollington, Andrew D.; Velani, Sanju L.
2012
Inhomogeneous approximation by coprime integers. Zbl 1276.11117
Haynes, Alan
2012
Metric considerations concerning the mixed Littlewood conjecture. Zbl 1259.11069
Bugeaud, Yann; Haynes, Alan; Velani, Sanju
2011
A note on Farey fractions with denominators in arithmetic progressions. Zbl 1253.11022
Badziahin, Dzmitry A.; Haynes, Alan K.
2011
The metric theory of $$p$$-adic approximation. Zbl 1246.11132
Haynes, Alan K.
2010
Numerators of differences of nonconsecutive Farey fractions. Zbl 1203.11022
Haynes, Alan K.
2010
The group ring of $$\mathbb Q/\mathbb Z$$ and an application of a divisor problem. Zbl 1266.11096
Haynes, Alan K.; Homma, Kosuke
2009
The distribution of special subsets of the Farey sequence. Zbl 1053.11013
Haynes, Alan
2004
A note on Farey fractions with odd denominators. Zbl 1056.11009
Haynes, Alan
2003
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### Cited by 114 Authors

 16 Haynes, Alan K. 9 Koivusalo, Henna 7 Zaharescu, Alexandru 6 Baake, Michael 6 Walton, James J. 5 Kesseböhmer, Marc 4 Alkan, Emre 4 Frettlöh, Dirk 4 Mañibo, Neil 3 Garber, Alexeĭ Igorevich 3 Grimm, Uwe 3 Hussain, Mumtaz 3 Ledoan, Andrew H. 3 Li, Liangpan 3 Sadun, Lorenzo A. 3 Schindler, Tanja I. 3 Velani, Sanju L. 2 Adiceam, Faustin 2 Badziahin, Dzmitry A. 2 Beresnevich, Victor V. 2 Berthé, Valérie 2 Cobeli, Cristian 2 Damanik, David 2 Gähler, Franz 2 Gonçalves, Felipe M. 2 Grepstad, Sigrid 2 Harrap, Stephen B. 2 Julien, Antoine 2 Kelly, Michael 2 Lenz, Daniel H. 2 Lev, Nir 2 Liu, Wencai 2 Mosbach, Arne 2 Ramírez, Felipe A. 2 Samuel, Tony 2 Shutov, Anton V. 2 Solomon, Yaar 2 Steffens, Malte 2 Strauch, Oto 2 Vâjâitu, Marian 2 Yu, Han 1 Aistleitner, Christoph 1 Bachmann, Henrik 1 Bédaride, Nicolas 1 Boca, Florin-Petre 1 Bugeaud, Yann 1 Carneiro, Emanuel 1 Cecchi Bernales, Paulina 1 Chaubey, Sneha 1 Chen, Huayang 1 Chen, Zhengyu 1 Chow, Sam 1 Coons, Michael 1 Cruz-López, Manuel 1 Datta, Shreyasi 1 de Mathan, Bernard 1 Dong, Changguang 1 Dreher, Fabian 1 Fernique, Thomas 1 Furno, Joanna 1 Ghosh, Anish 1 Göral, Haydar 1 Green, Michael B. 1 Gröger, Maik 1 Harman, Glyn 1 Heersink, Byron 1 Hu, Zhang-nan 1 Jitomirskaya, Svetlana Yakovlevna 1 Kaziulytė, Laima 1 Kellendonk, Johannes 1 Kim, Donghan 1 Koukoulopoulos, Dimitris 1 Kristensen, Simon 1 Lachmann, Thomas 1 Lee, Jeong-Yup 1 Li, Bing 1 Li, Junxian 1 López-Hernández, Francisco J. 1 Lü, Meiying 1 Ma, Chao 1 Madrid, José A. Jiménez 1 Malik, Amita 1 Marklof, Jens 1 Maynard, James 1 Mišík, Ladislav jun. 1 Munsch, Marc 1 Navas, Andrés 1 Poels, Anthony 1 Prunescu, Mihai 1 Ramirez, Juan J. 1 Richard, Christoph 1 Rosenblatt, Joseph Max 1 Roychowdhury, Mrinal Kanti 1 Schmieding, Scott 1 Shen, Jian 1 Simmons, David 1 Sing, Bernd 1 Smilansky, Yotam 1 Strömbergsson, Andreas 1 Strungaru, Nicolae ...and 14 more Authors
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### Cited in 50 Serials

 9 Journal of Number Theory 6 Acta Arithmetica 5 Mathematische Zeitschrift 4 Advances in Mathematics 4 International Journal of Number Theory 3 Mathematika 3 Proceedings of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Letters in Mathematical Physics 2 Nonlinearity 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Fractals 2 Discrete and Continuous Dynamical Systems 2 Dynamical Systems 2 Chebyshevskiĭ Sbornik 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Chaos, Solitons and Fractals 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series A 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Theoretical Computer Science 1 Discrete & Computational Geometry 1 Geometric and Functional Analysis. GAFA 1 Stochastic Processes and their Applications 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of Mathematical Sciences 1 Arnold Mathematical Journal 1 Annales Henri Lebesgue
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### Cited in 20 Fields

 67 Number theory (11-XX) 35 Dynamical systems and ergodic theory (37-XX) 21 Convex and discrete geometry (52-XX) 8 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)