Coles, Solly; Sharp, Richard Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows. (English) Zbl 1509.37030 Nonlinearity 36, No. 1, 21-58 (2023). MSC: 37C27 37C30 37D20 37D40 57K10 57R25 PDFBibTeX XMLCite \textit{S. Coles} and \textit{R. Sharp}, Nonlinearity 36, No. 1, 21--58 (2023; Zbl 1509.37030) Full Text: DOI arXiv
Everitt, James; Sharp, Richard Distribution in homology classes and discrete fractal dimension. arXiv:2311.11970 Preprint, arXiv:2311.11970 [math.DS] (2023). MSC: 37D20 37C27 37C30 37D35 37D40 BibTeX Cite \textit{J. Everitt} and \textit{R. Sharp}, ``Distribution in homology classes and discrete fractal dimension'', Preprint, arXiv:2311.11970 [math.DS] (2023) Full Text: arXiv OA License
Cantrell, Stephen; Sharp, Richard A central limit theorem for periodic orbits of hyperbolic flows. (English) Zbl 1510.37014 Dyn. Syst. 36, No. 1, 142-153 (2021). MSC: 37A50 37A30 37C30 37C10 37D20 60F05 PDFBibTeX XMLCite \textit{S. Cantrell} and \textit{R. Sharp}, Dyn. Syst. 36, No. 1, 142--153 (2021; Zbl 1510.37014) Full Text: DOI arXiv
Dougall, Rhiannon; Sharp, Richard Anosov flows, growth rates on covers and group extensions of subshifts. (English) Zbl 1467.37037 Invent. Math. 223, No. 2, 445-483 (2021). Reviewer: Miguel Paternain (Montevideo) MSC: 37D40 37D20 37D35 37C55 37C27 37C85 37B10 PDFBibTeX XMLCite \textit{R. Dougall} and \textit{R. Sharp}, Invent. Math. 223, No. 2, 445--483 (2021; Zbl 1467.37037) Full Text: DOI arXiv
Sharp, Richard Equidistribution of holonomy in homology classes for Anosov flows. (English) Zbl 1402.37037 Math. Z. 289, No. 3-4, 1311-1323 (2018). Reviewer: Pengfei Zhang (Norman) MSC: 37D05 37D20 37C27 37C40 PDFBibTeX XMLCite \textit{R. Sharp}, Math. Z. 289, No. 3--4, 1311--1323 (2018; Zbl 1402.37037) Full Text: DOI
Sharp, Richard Conformal Markov systems, Patterson-Sullivan measure on limit sets and spectral triples. (English) Zbl 1359.37047 Discrete Contin. Dyn. Syst. 36, No. 5, 2711-2727 (2016). MSC: 37C30 28A80 37D35 58B34 37A55 37D20 37F30 37F35 PDFBibTeX XMLCite \textit{R. Sharp}, Discrete Contin. Dyn. Syst. 36, No. 5, 2711--2727 (2016; Zbl 1359.37047) Full Text: DOI
Pollicott, Mark; Sharp, Richard Length asymptotics in higher Teichmüller theory. (English) Zbl 1288.37004 Proc. Am. Math. Soc. 142, No. 1, 101-112 (2014). Reviewer: Frederic Palesi (Marseille) MSC: 37C30 20H10 37D20 37D40 22E40 57M05 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Proc. Am. Math. Soc. 142, No. 1, 101--112 (2014; Zbl 1288.37004) Full Text: DOI
Sharp, Richard Spectral triples and Gibbs measures for expanding maps on Cantor sets. (English) Zbl 1260.37017 J. Noncommut. Geom. 6, No. 4, 801-817 (2012). Reviewer: Anke Pohl (Göttingen) MSC: 37D20 37D35 46L55 58B34 37A55 46L51 37C30 PDFBibTeX XMLCite \textit{R. Sharp}, J. Noncommut. Geom. 6, No. 4, 801--817 (2012; Zbl 1260.37017) Full Text: DOI arXiv
Risager, Morten S.; Sharp, Richard Pairs of periodic orbits with fixed homology difference. (English) Zbl 1201.37024 Proc. Edinb. Math. Soc., II. Ser. 53, No. 3, 799-808 (2010). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 37C27 37D20 37D35 37D40 PDFBibTeX XMLCite \textit{M. S. Risager} and \textit{R. Sharp}, Proc. Edinb. Math. Soc., II. Ser. 53, No. 3, 799--808 (2010; Zbl 1201.37024) Full Text: DOI arXiv
Pollicott, Mark; Sharp, Richard Large deviations, fluctuations and shrinking intervals. (English) Zbl 1193.37038 Commun. Math. Phys. 290, No. 1, 321-334 (2009). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37D20 37Axx 37C40 82C05 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Commun. Math. Phys. 290, No. 1, 321--334 (2009; Zbl 1193.37038) Full Text: DOI
Pollicott, Mark; Sharp, Richard Periodic orbits and holonomy for hyperbolic flows. (English) Zbl 1159.37006 Burns, Keith (ed.) et al., Geometric and probabilistic structures in dynamics. Workshop on dynamical systems and related topics in honor of Michael Brin on the occasion of his 60th birthday, College Park, MD, USA, March 15–18, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4286-7/pbk). Contemporary Mathematics 469, 289-302 (2008). Reviewer: Angela Slavova (Sofia) MSC: 37D20 37C30 37C27 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Contemp. Math. 469, 289--302 (2008; Zbl 1159.37006)
Pollicott, Mark; Sharp, Richard Addendum: An analogue of Artin reciprocity for closed orbits of skew products. (English) Zbl 1154.37326 Ergodic Theory Dyn. Syst. 28, No. 2, 547-552 (2008). MSC: 37D20 11A41 11A05 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Ergodic Theory Dyn. Syst. 28, No. 2, 547--552 (2008; Zbl 1154.37326) Full Text: DOI
Pollicott, Mark; Sharp, Richard Pseudo-Anosov foliations on periodic surfaces. (English) Zbl 1115.37018 Topology Appl. 154, No. 12, 2365-2375 (2007). MSC: 37C85 37E30 37B10 37A25 37D20 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Topology Appl. 154, No. 12, 2365--2375 (2007; Zbl 1115.37018) Full Text: DOI
Collier, David; Sharp, Richard Directions and equidistribution in homology for periodic orbits. (English) Zbl 1110.37020 Ergodic Theory Dyn. Syst. 27, No. 2, 405-415 (2007). MSC: 37D20 37C27 37D35 37C40 PDFBibTeX XMLCite \textit{D. Collier} and \textit{R. Sharp}, Ergodic Theory Dyn. Syst. 27, No. 2, 405--415 (2007; Zbl 1110.37020) Full Text: DOI
Pollicott, Mark; Sharp, Richard Distribution of ergodic sums for hyperbolic maps. (English) Zbl 1109.37027 Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 167-183 (2006). MSC: 37D20 37A30 37D35 37C30 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Transl., Ser. 2, Am. Math. Soc. 217, 167--183 (2006; Zbl 1109.37027)
Sharp, Richard A local limit theorem for closed geodesics and homology. (English) Zbl 1330.37026 Trans. Am. Math. Soc. 356, No. 12, 4897-4908 (2004). MSC: 37C27 37C30 37D20 37D40 53C22 PDFBibTeX XMLCite \textit{R. Sharp}, Trans. Am. Math. Soc. 356, No. 12, 4897--4908 (2004; Zbl 1330.37026) Full Text: DOI
Pollicott, Mark; Sharp, Richard Livsic theorems, maximizing measures and the stable norm. (English) Zbl 1057.37023 Dyn. Syst. 19, No. 1, 75-88 (2004). MSC: 37D20 37A20 37C40 37D05 37B10 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Dyn. Syst. 19, No. 1, 75--88 (2004; Zbl 1057.37023) Full Text: DOI
Pollicott, Mark; Sharp, Richard Invariance principles for interval maps with an indifferent fixed point. (English) Zbl 1074.37007 Commun. Math. Phys. 229, No. 2, 337-346 (2002). MSC: 37A50 37D20 37E05 60F15 60F17 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Commun. Math. Phys. 229, No. 2, 337--346 (2002; Zbl 1074.37007) Full Text: DOI
Pollicott, Mark; Sharp, Richard Asymptotic expansions for closed orbits in homology classes. (English) Zbl 1049.37021 Geom. Dedicata 87, No. 1-3, 123-160 (2001). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 37D40 37C35 58E10 11M41 37C30 37D20 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Geom. Dedicata 87, No. 1--3, 123--160 (2001; Zbl 1049.37021) Full Text: DOI
Pollicott, Mark; Sharp, Richard Error terms for closed orbits of hyperbolic flows. (English) Zbl 0988.37024 Ergodic Theory Dyn. Syst. 21, No. 2, 545-562 (2001). Reviewer: Vassili Gelfreich (Berlin) MSC: 37C27 37D20 37A45 37B10 37C10 37C30 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Ergodic Theory Dyn. Syst. 21, No. 2, 545--562 (2001; Zbl 0988.37024) Full Text: DOI