AH
Alan Haynes
math.NTmath.DSmath.MGmath.MPmath-phmath.PRmath.COcs.NAmath.CAmath.NA
On Valency
published · living versionsW_54nhhujp·v1 · currentpublished
Preprints & journals
50 papers in the corpus · 2008–2026A cut-and-project set which is not bi-Lipschitz equivalent to a lattice2610.27640v1 · Alan Haynes2026 · 0 citationsarXivon Valency
Gaps theorems for linear forms with cubic coefficients2610.07471v1 · Alan Haynes2026 · 0 citationsarXiv
A geometric proof of Peck's theorem2609.29469v1 · Kavita Dhanda, Josh Flynn, Alan Haynes2026 · 0 citationsarXiv
The Gauss circle problem for Penrose tilings2512.21444v1 · Alan Haynes, Christopher Lutsko2025 · 0 citationsarXiv
Counting matrices with fixed determinant and bounded coefficients2509.16890v1 · Kavita Dhanda, Alan Haynes, Silmi Prasala2025 · 0 citationsarXiv
Totally real cubic numbers are well approximable2310.12703v2 · Alan Haynes2023 · 0 citationsarXiv
Accumulation points of normalized approximations2310.00173v2 · Kavita Dhanda, Alan Haynes2023 · 0 citationsarXiv
Convergence of Fourier--Bohr coefficients for regular Euclidean model sets2308.07105v1 · Michael Baake (U Bielefeld), Alan Haynes (U Houston)2023 · 0 citationsarXiv
Expected value of the smallest denominator in a random interval of fixed radius2109.12668v2 · Huayang Chen, Alan Haynes2021 · 7 citationsarXiv
A three gap theorem for the adeles2107.05147v1 · Akshat Das, Alan Haynes2021 · 0 citationsarXiv
Higher dimensional gap theorems for the maximum metric2010.08842v2 · Alan Haynes, Juan J. Ramirez2020 · 7 citationsarXiv
A five distance theorem for Kronecker sequences2009.08444v3 · Alan Haynes, Jens Marklof2020 · 3 citationsarXiv
Level spacing statistics for the multi-dimensional quantum harmonic oscillator: algebraic case2006.06157v2 · Alan Haynes, Roland Roeder2020 · 3 citationsarXiv
Badly approximable points for diagonal approximation in solenoids2004.12153v2 · Huayang Chen, Alan Haynes2020 · 0 citationsarXiv
Bounded remainder sets for rotations on higher dimensional adelic tori2002.04444v1 · Akshat Das, Joanna Furno, Alan Haynes2020 · 0 citationsMoscow J. Comb. Number Th. 10 (2021) 111-120
Higher moments of distances between consecutive Ford spheres1809.09743v1 · Alan Haynes, Kayleigh Measures2018 · 0 citationsarXiv
Bounded remainder sets for rotations on the adelic torus1803.10559v2 · Joanna Furno, Alan Haynes, Henna Koivusalo2018 · 2 citationsarXiv
Higher dimensional Steinhaus and Slater problems via homogeneous dynamics1707.04094v2 · Alan Haynes, Jens Marklof2017 · 17 citationsarXiv
Averaging almost periodic functions along exponential sequences1704.08120v1 · Michael Baake (Bielefeld), Alan Haynes (Houston), Daniel Lenz (Jena)2017 · 12 citationsin: Aperiodic Oder, vol. 2: Crystallography and Almost Periodicity, eds. M. Baake and U. Grimm, Cambridge University Press, Cambridge (2017), pp. 343--362
A measure theoretic result for approximation by Delone sets1702.04839v2 · Michael Baake, Alan Haynes2017 · 2 citationsContemp. Math. 731 (2019) 35-40
Statistics of patterns in typical cut and project sets1702.04041v1 · Alan Haynes, Antoine Julien, Henna Koivusalo et al.2017 · 5 citationsarXiv
A randomized version of the Littlewood Conjecture1610.08007v2 · Alan Haynes, Henna Koivusalo2016 · 1 citationarXiv
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices, II1602.00529v1 · Alan Haynes, Michael Kelly, Henna Koivusalo2016 · 18 citationsarXiv
Sums of reciprocals of fractional parts and multiplicative Diophantine approximation1511.06862v2 · Victor Beresnevich, Alan Haynes, Sanju Velani2015 · 18 citationsarXiv
Hankel Determinants of Zeta Values1510.01901v3 · Alan Haynes, Wadim Zudilin2015 · 3 citationsSIGMA 11 (2015), 101, 5 pages
Perfectly ordered quasicrystals and the Littlewood conjecture1506.05649v3 · Alan Haynes, Henna Koivusalo, James Walton2015 · 1 citationarXiv
Linear repetitivity and subadditive ergodic theorems for cut and project sets1503.04091v4 · Alan Haynes, Henna Koivusalo, James Walton2015 · 0 citationsarXiv
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices1402.2125v3 · Alan Haynes, Henna Koivusalo2014 · 19 citationsarXiv
Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals1309.2562v1 · Alan Haynes, Christopher White2013 · 3 citationsarXiv
Diophantine approximation and coloring1308.0208v2 · Alan Haynes, Sara Munday2013 · 4 citationsarXiv
Density of orbits of semigroups of endomorphisms acting on the Adeles1303.1661v1 · Alan Haynes, Sara Munday2013 · 0 citationsarXiv
Equivalence relations on separated nets arising from linear toral flows1211.2606v4 · Alan Haynes, Michael Kelly, Barak Weiss2012 · 30 citationsProc. London Math. Soc. (2014) 109 (5): 1203-1228
Incomplete Kloosterman sums and multiplicative inverses in short intervals1204.6374v1 · Tim Browning, Alan Haynes2012 · 6 citationsarXiv
Metrical musings on Littlewood and friends1204.0938v1 · Alan Haynes, Jonas Lindstr\om Jensen, Simon Kristensen2012 · 11 citationsarXiv
Inhomogeneous approximation by coprime integers1202.5986v1 · Alan Haynes2012 · 1 citationarXiv
The Duffin-Schaeffer Conjecture with extra divergence II1201.1210v1 · Victor Beresnevich, Glyn Harman, Alan Haynes et al.2012 · 28 citationsarXiv
Projective metric number theory1112.0128v1 · Anish Ghosh, Alan Haynes2011 · 4 citationsarXiv
Deformation Quantization and Irrational Numbers1105.5541v1 · Eli Hawkins, Alan Haynes2011 · 3 citationsarXiv
Multiplicative zero-one laws and metric number theory1012.0675v2 · Victor Beresnevich, Alan Haynes, Sanju Velani2010 · 20 citationsActa Arithmetica, 160(2), 101-114, 2013
The mixed Littlewood conjecture for pseudo-absolute values1012.0191v2 · Stephen Harrap, Alan Haynes2010 · 6 citationsarXiv
Metric considerations concerning the mixed Littlewood Conjecture0909.3923v2 · Yann Bugeaud, Alan Haynes, Sanju Velani2009 · 16 citationsarXiv
A Note on Farey Fractions With Odd Denominators0907.2168v1 · Alan K. Haynes2009 · 20 citationsJ. Number Theory, 98 (2003), no.1, 89-104
The Distribution of Special Subsets of the Farey Sequence0907.2171v1 · Alan K. Haynes2009 · 12 citationsJ. Number Theory, 107 (2004), no.1, 95-104
The metric theory of p-adic approximation0907.0141v1 · Alan K. Haynes2009 · 13 citationsarXiv
The group ring of Q/Z and an application of a divisor problem0907.0158v1 · Alan K. Haynes, Kosuke Homma2009 · 1 citationProc. Amer. Math. Soc., 137 (2009), 1285-1293
Intermediate convergents and a metric theorem of Khinchin0907.0161v1 · Alan K. Haynes2009 · 0 citationsarXiv
Numerators of differences of nonconsecutive Farey fractions0907.0162v1 · Alan K. Haynes2009 · 5 citationsarXiv
A note on Farey fractions with denominators in arithmetic progressions0907.0163v1 · Dmitry A. Badziahin, Alan K. Haynes2009 · 11 citationsarXiv
Martingale differences and the metric theory of continued fractions0906.5428v1 · Alan K. Haynes, Jeffrey D. Vaaler2009 · 0 citationsarXiv
The Duffin-Schaeffer Conjecture with extra divergence0811.1234v3 · Alan Haynes, Andrew Pollington, Sanju Velani2008 · 34 citationsarXiv
Career total: 63 works. 50 are in this corpus.
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