DeMarco, Laura; Mavraki, Niki Myrto Dynamics on \(\mathbb{P}^1\): preperiodic points and pairwise stability. (English) Zbl 07793888 Compos. Math. 160, No. 2, 356-387 (2024). MSC: 37P35 37P05 37P30 14H52 PDFBibTeX XMLCite \textit{L. DeMarco} and \textit{N. M. Mavraki}, Compos. Math. 160, No. 2, 356--387 (2024; Zbl 07793888) Full Text: DOI arXiv
Sawin, Will; Forey, A.; Fresán, J.; Kowalski, E. Quantitative sheaf theory. (English) Zbl 07682633 J. Am. Math. Soc. 36, No. 3, 653-726 (2023). MSC: 14F20 11T23 PDFBibTeX XMLCite \textit{W. Sawin} et al., J. Am. Math. Soc. 36, No. 3, 653--726 (2023; Zbl 07682633) Full Text: DOI arXiv
Horesh, Tal; Paulin, Frédéric Effective equidistribution of lattice points in positive characteristic. (English. French summary) Zbl 1516.11074 J. Théor. Nombres Bordx. 34, No. 3, 679-703 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11N45 14G17 20G30 11K50 28C10 11P21 PDFBibTeX XMLCite \textit{T. Horesh} and \textit{F. Paulin}, J. Théor. Nombres Bordx. 34, No. 3, 679--703 (2023; Zbl 1516.11074) Full Text: DOI arXiv
Babaee, Farhad Dynamical tropicalisation. (English) Zbl 1518.37085 J. Geom. Anal. 33, No. 3, Paper No. 74, 38 p. (2023). MSC: 37P05 14T10 PDFBibTeX XMLCite \textit{F. Babaee}, J. Geom. Anal. 33, No. 3, Paper No. 74, 38 p. (2023; Zbl 1518.37085) Full Text: DOI arXiv
Tayou, Salim; Tholozan, Nicolas Equidistribution of Hodge loci. II. (English) Zbl 1515.14019 Compos. Math. 159, No. 1, 1-52 (2023). Reviewer: Mohammad Reza Rahmati (León) MSC: 14D07 22D40 11G15 PDFBibTeX XMLCite \textit{S. Tayou} and \textit{N. Tholozan}, Compos. Math. 159, No. 1, 1--52 (2023; Zbl 1515.14019) Full Text: DOI arXiv
Disegni, Daniel \(p\)-adic equidistribution of CM points. (English) Zbl 1522.11060 Comment. Math. Helv. 97, No. 4, 635-668 (2022). MSC: 11G15 14K22 PDFBibTeX XMLCite \textit{D. Disegni}, Comment. Math. Helv. 97, No. 4, 635--668 (2022; Zbl 1522.11060) Full Text: DOI arXiv
Browning, Tim; Horesh, Tal; Wilsch, Florian Equidistribution and freeness on Grassmannians. (English) Zbl 1516.11094 Algebra Number Theory 16, No. 10, 2385-2407 (2022). MSC: 11N45 11P21 14G05 14M15 20G20 22E40 PDFBibTeX XMLCite \textit{T. Browning} et al., Algebra Number Theory 16, No. 10, 2385--2407 (2022; Zbl 1516.11094) Full Text: DOI arXiv
Gualdi, Roberto; Martínez, César Higher dimensional essential minima and equidistribution of cycles. (Minimums essentiels de dimension supérieure et équirépartition de cycles.) (English. French summary) Zbl 07589417 Ann. Inst. Fourier 72, No. 4, 1329-1377 (2022). MSC: 14G40 11G35 14C25 PDFBibTeX XMLCite \textit{R. Gualdi} and \textit{C. Martínez}, Ann. Inst. Fourier 72, No. 4, 1329--1377 (2022; Zbl 07589417) Full Text: DOI arXiv
Kühne, Lars Points of small height on semiabelian varieties. (English) Zbl 1487.14063 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2077-2131 (2022). Reviewer: Ana María Botero (Regensburg) MSC: 14G40 11G10 14G05 14K15 PDFBibTeX XMLCite \textit{L. Kühne}, J. Eur. Math. Soc. (JEMS) 24, No. 6, 2077--2131 (2022; Zbl 1487.14063) Full Text: DOI arXiv
Zhang, Runlin Equidistribution of translates of a homogeneous measure on the Borel-Serre compactification. (English) Zbl 1492.37004 Discrete Contin. Dyn. Syst. 42, No. 4, 2053-2071 (2022). MSC: 37A17 22E46 14L24 20G07 20G15 20G20 22E40 PDFBibTeX XMLCite \textit{R. Zhang}, Discrete Contin. Dyn. Syst. 42, No. 4, 2053--2071 (2022; Zbl 1492.37004) Full Text: DOI arXiv
Zhang, Runlin Translates of homogeneous measures associated with observable subgroups on some homogeneous spaces. (English) Zbl 1489.37006 Compos. Math. 157, No. 12, 2657-2698 (2021). MSC: 37A17 11D45 11P21 14M17 22E40 22F30 PDFBibTeX XMLCite \textit{R. Zhang}, Compos. Math. 157, No. 12, 2657--2698 (2021; Zbl 1489.37006) Full Text: DOI arXiv
Katz, Nicholas M. On a question of Zannier. (English) Zbl 1485.11098 Exp. Math. 30, No. 3, 422-428 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11K99 14G15 14H10 14H52 PDFBibTeX XMLCite \textit{N. M. Katz}, Exp. Math. 30, No. 3, 422--428 (2021; Zbl 1485.11098) Full Text: DOI
Edwards, Samuel On the rate of equidistribution of expanding translates of horospheres in \(\Gamma\backslash G\). (English) Zbl 1480.37005 Comment. Math. Helv. 96, No. 2, 275-337 (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 37A17 37D40 14M17 22F30 PDFBibTeX XMLCite \textit{S. Edwards}, Comment. Math. Helv. 96, No. 2, 275--337 (2021; Zbl 1480.37005) Full Text: DOI arXiv
Lu, Qing; Zheng, Weizhe On the distribution of multivariate Jacobi sums. (English) Zbl 1468.11238 Finite Fields Appl. 73, Article ID 101840, 7 p. (2021). MSC: 11T24 11K38 14G15 PDFBibTeX XMLCite \textit{Q. Lu} and \textit{W. Zheng}, Finite Fields Appl. 73, Article ID 101840, 7 p. (2021; Zbl 1468.11238) Full Text: DOI arXiv
Ahn, Taeyong An equidistribution theorem for certain birational maps of \(\mathbb{P}^k\). (English) Zbl 1469.37035 Int. J. Math. 32, No. 3, Article ID 2150017, 19 p. (2021). Reviewer: Rong Du (Shanghai) MSC: 37F10 32U40 14E05 PDFBibTeX XMLCite \textit{T. Ahn}, Int. J. Math. 32, No. 3, Article ID 2150017, 19 p. (2021; Zbl 1469.37035) Full Text: DOI arXiv
Chae, Hi-Joon; Jun, Byungheup; Lee, Jungyun Equidistribution of higher dimensional generalized Dedekind sums and exponential sums. (English) Zbl 1465.11099 J. Korean Math. Soc. 57, No. 4, 845-871 (2020). MSC: 11F20 11L03 14M25 PDFBibTeX XMLCite \textit{H.-J. Chae} et al., J. Korean Math. Soc. 57, No. 4, 845--871 (2020; Zbl 1465.11099) Full Text: DOI
Filip, Simion [Bergeron, Nicolas; Matheus, Carlos] Counting special Lagrangian fibrations in twistor families of \(K3\) surfaces. (English) Zbl 1451.14117 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 3, 713-750 (2020). Reviewer: Ljudmila Kamenova (New York) MSC: 14J28 22F30 53C26 PDFBibTeX XMLCite \textit{S. Filip}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 3, 713--750 (2020; Zbl 1451.14117) Full Text: DOI arXiv
Yang, Pengyu Equidistribution of expanding translates of curves and Diophantine approximation on matrices. (English) Zbl 1456.22003 Invent. Math. 220, No. 3, 909-948 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 22E40 14L24 11J83 PDFBibTeX XMLCite \textit{P. Yang}, Invent. Math. 220, No. 3, 909--948 (2020; Zbl 1456.22003) Full Text: DOI arXiv
Tayou, Salim On the equidistribution of some Hodge loci. (English) Zbl 1465.14017 J. Reine Angew. Math. 762, 167-194 (2020). Reviewer: G. K. Sankaran (Bath) MSC: 14D07 11E20 11F99 14C30 14J28 53C56 14J42 PDFBibTeX XMLCite \textit{S. Tayou}, J. Reine Angew. Math. 762, 167--194 (2020; Zbl 1465.14017) Full Text: DOI arXiv
Suh, Junecue Ordinary primes in Hilbert modular varieties. (English) Zbl 1439.11124 Compos. Math. 156, No. 4, 647-678 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F41 14G35 11F30 11G18 PDFBibTeX XMLCite \textit{J. Suh}, Compos. Math. 156, No. 4, 647--678 (2020; Zbl 1439.11124) Full Text: DOI
Fresán, Javier Equidistribution of exponential sums [works of Katz]. (Équirépartition de sommes exponentielles [travaux de Katz].) (French) Zbl 1484.11219 Séminaire Bourbaki. Volume 2017/2018. Exposés 1136–1150. Paris: Société Mathématique de France (SMF). Astérisque 414, 205-250, Exp. No. 1141 (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 11T23 11K36 14F20 PDFBibTeX XMLCite \textit{J. Fresán}, Astérisque 414, 205--250, Exp. No. 1141 (2019; Zbl 1484.11219) Full Text: arXiv
Lachaud, Gilles The distribution of the trace in the compact group of type \(\mathbf{G}_2\). (English) Zbl 1443.11158 Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019). MSC: 11L07 14D05 20G41 22E45 60B15 60B20 11K36 33D80 PDFBibTeX XMLCite \textit{G. Lachaud}, Contemp. Math. 722, 79--103 (2019; Zbl 1443.11158) Full Text: DOI
Burgos Gil, José Ignacio; Philippon, Patrice; Rivera-Letelier, Juan; Sombra, Martín The distribution of Galois orbits of points of small height in toric varieties. (English) Zbl 1459.14012 Am. J. Math. 141, No. 2, 309-381 (2019). Reviewer: Ana María Botero (Regensburg) MSC: 14G40 11G50 11G35 14M25 PDFBibTeX XMLCite \textit{J. I. Burgos Gil} et al., Am. J. Math. 141, No. 2, 309--381 (2019; Zbl 1459.14012) Full Text: DOI arXiv Link
Habegger, Philipp; Ih, Su-ion Distribution of integral division points on the algebraic torus. (English) Zbl 1416.11113 Trans. Am. Math. Soc. 371, No. 1, 357-386 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11G50 11J61 11J71 11J86 11L15 14G25 14G40 20G30 37P05 37P35 PDFBibTeX XMLCite \textit{P. Habegger} and \textit{S.-i. Ih}, Trans. Am. Math. Soc. 371, No. 1, 357--386 (2019; Zbl 1416.11113) Full Text: DOI
Richard, Rodolphe Galois ultrametric distribution of an isogeny class of elliptic curves: the case of bad reduction. An application to local heights. (Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques: le cas de la mauvaise réduction. Application aux hauteurs locales.) (French. English summary) Zbl 1450.11054 J. Théor. Nombres Bordx. 30, No. 1, 1-18 (2018). MSC: 11G05 37P50 11S40 14G40 11F32 PDFBibTeX XMLCite \textit{R. Richard}, J. Théor. Nombres Bordx. 30, No. 1, 1--18 (2018; Zbl 1450.11054) Full Text: DOI
Shende, Vivek; Tsimerman, Jacob Equidistribution in \(\operatorname{Bun}_2(\mathbb{P}^1)\). (English) Zbl 1426.11064 Duke Math. J. 166, No. 18, 3461-3504 (2017). MSC: 11G20 14H51 PDFBibTeX XMLCite \textit{V. Shende} and \textit{J. Tsimerman}, Duke Math. J. 166, No. 18, 3461--3504 (2017; Zbl 1426.11064) Full Text: DOI arXiv Euclid
Kret, Arno Equidistribution in supersingular Hecke orbits. (English) Zbl 1433.11078 J. Reine Angew. Math. 733, 25-54 (2017). Reviewer: Netan Dogra (London) MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{A. Kret}, J. Reine Angew. Math. 733, 25--54 (2017; Zbl 1433.11078) Full Text: DOI arXiv
Hsia, Liang-Chung; Tucker, Thomas Greatest common divisors of iterates of polynomials. (English) Zbl 1392.37103 Algebra Number Theory 11, No. 6, 1437-1459 (2017). MSC: 37P05 14G25 11J25 11B37 PDFBibTeX XMLCite \textit{L.-C. Hsia} and \textit{T. Tucker}, Algebra Number Theory 11, No. 6, 1437--1459 (2017; Zbl 1392.37103) Full Text: DOI arXiv
Lachaud, Gilles On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius. (English) Zbl 1417.11123 Kohel, David (ed.) et al., Frobenius distributions: Lang-Trotter and Sato-Tate conjectures. Winter school and workshop on Frobenius distributions on curves, CIRM, Marseille, France, February 17–21, 2014 and February 24–28, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 663, 185-221 (2016). MSC: 11G20 11G30 11M50 22E45 05E05 14G10 60B20 PDFBibTeX XMLCite \textit{G. Lachaud}, Contemp. Math. 663, 185--221 (2016; Zbl 1417.11123) Full Text: DOI arXiv
Chen, Ke Bounded equidistribution of special subvarieties in mixed Shimura varieties. (English) Zbl 1354.14037 Math. Ann. 364, No. 1-2, 29-78 (2016). Reviewer: Xin Lu (Mainz) MSC: 14G35 11G18 14K05 PDFBibTeX XMLCite \textit{K. Chen}, Math. Ann. 364, No. 1--2, 29--78 (2016; Zbl 1354.14037) Full Text: DOI arXiv
Katz, Nicholas M. Wieferich past and future. (English) Zbl 1416.11082 Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 632, 253-270 (2015). MSC: 11G05 14K15 11G30 11K36 PDFBibTeX XMLCite \textit{N. M. Katz}, Contemp. Math. 632, 253--270 (2015; Zbl 1416.11082) Full Text: DOI
Kedlaya, Kiran S. Sato-Tate groups of genus 2 curves. (English) Zbl 1370.11068 Beshaj, Lubjana (ed.) et al., Advances on superelliptic curves and their applications. Based on the NATO Advanced Study Institute (ASI), Ohrid, Macedonia, 2014. Amsterdam: IOS Press (ISBN 978-1-61499-519-7/hbk; 978-1-61499-520-3/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 41, 117-136 (2015). MSC: 11G30 14C30 11F41 11F80 PDFBibTeX XMLCite \textit{K. S. Kedlaya}, NATO Sci. Peace Secur. Ser. D, Inf. Commun. Secur. 41, 117--136 (2015; Zbl 1370.11068) Full Text: DOI arXiv
Burgos Gil, José Ignacio; Philippon, Patrice; Sombra, Martín Successive minima of toric height functions. (Minimums successifs des fonctions hauteurs toriques.) (English. French summary) Zbl 1369.14034 Ann. Inst. Fourier 65, No. 5, 2145-2197 (2015). Reviewer: Paul Vojta (Berkeley) MSC: 14G40 14M25 52A41 PDFBibTeX XMLCite \textit{J. I. Burgos Gil} et al., Ann. Inst. Fourier 65, No. 5, 2145--2197 (2015; Zbl 1369.14034) Full Text: DOI arXiv
Möller, Martin; Toledo, Domingo Bounded negativity of self-intersection numbers of Shimura curves in Shimura surfaces. (English) Zbl 1327.14122 Algebra Number Theory 9, No. 4, 897-912 (2015). MSC: 14G35 14J25 22E40 37A99 53C55 PDFBibTeX XMLCite \textit{M. Möller} and \textit{D. Toledo}, Algebra Number Theory 9, No. 4, 897--912 (2015; Zbl 1327.14122) Full Text: DOI arXiv
Ullmo, Emmanuel; Yafaev, Andrei Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture. (English) Zbl 1328.11070 Ann. Math. (2) 180, No. 3, 823-865 (2014). Reviewer: Xin Lu (Mainz) MSC: 11G18 14G35 PDFBibTeX XMLCite \textit{E. Ullmo} and \textit{A. Yafaev}, Ann. Math. (2) 180, No. 3, 823--865 (2014; Zbl 1328.11070) Full Text: DOI arXiv
Bandman, Tatiana; Kunyavskiĭ, Boris Criteria for equidistribution of solutions of word equations on \(\mathrm{SL}(2)\). (English) Zbl 1292.20049 J. Algebra 382, 282-302 (2013). Reviewer: L. N. Vaserstein (University Park) MSC: 20F70 20G40 20D06 20P05 20D60 11E57 14G05 14G15 PDFBibTeX XMLCite \textit{T. Bandman} and \textit{B. Kunyavskiĭ}, J. Algebra 382, 282--302 (2013; Zbl 1292.20049) Full Text: DOI arXiv
Lee, Chong Gyu The equidistribution of small points for strongly regular pairs of polynomial maps. (English) Zbl 1294.11114 Math. Z. 275, No. 3-4, 1047-1072 (2013). Reviewer: Yu Yasufuku (Tokyo) MSC: 11G50 14G50 32H50 37P05 37P30 PDFBibTeX XMLCite \textit{C. G. Lee}, Math. Z. 275, No. 3--4, 1047--1072 (2013; Zbl 1294.11114) Full Text: DOI arXiv
Habegger, P. Small height and infinite nonabelian extensions. (English) Zbl 1282.11074 Duke Math. J. 162, No. 11, 2027-2076 (2013). Reviewer: Jorge Pineiro (Bronx) MSC: 11G50 11G05 14G40 PDFBibTeX XMLCite \textit{P. Habegger}, Duke Math. J. 162, No. 11, 2027--2076 (2013; Zbl 1282.11074) Full Text: DOI arXiv Euclid
Chen, Ke On special subvarieties of Kuga varieties. (English) Zbl 1318.14026 Math. Z. 274, No. 3-4, 821-839 (2013). Reviewer: Matthias Schütt (Hannover) MSC: 14G35 11G18 14K05 PDFBibTeX XMLCite \textit{K. Chen}, Math. Z. 274, No. 3--4, 821--839 (2013; Zbl 1318.14026) Full Text: DOI arXiv
Benoist, Yves; Oh, Hee Effective equidistribution of \(S\)-integral points on symmetric varieties. (English. French summary) Zbl 1330.11044 Ann. Inst. Fourier 62, No. 5, 1889-1942 (2012). MSC: 11G35 14G25 PDFBibTeX XMLCite \textit{Y. Benoist} and \textit{H. Oh}, Ann. Inst. Fourier 62, No. 5, 1889--1942 (2012; Zbl 1330.11044) Full Text: DOI arXiv
Petsche, Clayton; Szpiro, Lucien; Tucker, Thomas J. A dynamical pairing between two rational maps. (English) Zbl 1300.37052 Trans. Am. Math. Soc. 364, No. 4, 1687-1710 (2012). MSC: 37P30 11G50 14G40 37P05 PDFBibTeX XMLCite \textit{C. Petsche} et al., Trans. Am. Math. Soc. 364, No. 4, 1687--1710 (2012; Zbl 1300.37052) Full Text: DOI arXiv
Lee, Chong Gyu Equidistribution of periodic points of some automorphisms on K3 surfaces. (English) Zbl 1259.37066 Bull. Korean Math. Soc. 49, No. 2, 307-317 (2012). Reviewer: Liang-Chung Hsia (Taipei) MSC: 37P30 14G40 11G50 14J28 PDFBibTeX XMLCite \textit{C. G. Lee}, Bull. Korean Math. Soc. 49, No. 2, 307--317 (2012; Zbl 1259.37066) Full Text: DOI arXiv Link
Katz, Nicholas M. Convolution and equidistribution. Sato-Tate theorems for finite-field Mellin transforms. (English) Zbl 1261.11084 Annals of Mathematics Studies 180. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15331-5/pbk; 978-0-691-15330-8/hbk; 978-1-400-84270-4/ebook). vi, 203 p. (2012). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11-02 11T24 11G25 14F05 14F20 PDFBibTeX XMLCite \textit{N. M. Katz}, Convolution and equidistribution. Sato-Tate theorems for finite-field Mellin transforms. Princeton, NJ: Princeton University Press (2012; Zbl 1261.11084) Full Text: DOI
Templier, Nicolas On the rank of elliptic curves on the field of Hilbert classes. (Sur le rang des courbes elliptiques sur les corps de classes de Hilbert.) (French. English summary) Zbl 1276.11096 Compos. Math. 147, No. 4, 1087-1104 (2011). MSC: 11G05 14G40 11G40 11G15 PDFBibTeX XMLCite \textit{N. Templier}, Compos. Math. 147, No. 4, 1087--1104 (2011; Zbl 1276.11096) Full Text: DOI
Ih, Su-Ion A nondensity property of preperiodic points on Chebyshev dynamical systems. (English) Zbl 1214.11070 J. Number Theory 131, No. 4, 750-780 (2011). MSC: 37P15 11G05 11G35 11J71 14G05 37P30 37P35 PDFBibTeX XMLCite \textit{S.-I. Ih}, J. Number Theory 131, No. 4, 750--780 (2011; Zbl 1214.11070) Full Text: DOI
Miller, Steven J.; Murty, M. Ram Effective equidistribution and the Sato-Tate law for families of elliptic curves. (English) Zbl 1207.11062 J. Number Theory 131, No. 1, 25-44 (2011). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11K38 14H52 11M41 PDFBibTeX XMLCite \textit{S. J. Miller} and \textit{M. R. Murty}, J. Number Theory 131, No. 1, 25--44 (2011; Zbl 1207.11062) Full Text: DOI arXiv
Kowalski, E. Some aspects and applications of the Riemann hypothesis over finite fields. (English) Zbl 1271.11113 Milan J. Math. 78, No. 1, 179-220 (2010). Reviewer: Lei Fu (Tianjin) MSC: 11T23 14F20 11L05 14G15 PDFBibTeX XMLCite \textit{E. Kowalski}, Milan J. Math. 78, No. 1, 179--220 (2010; Zbl 1271.11113) Full Text: DOI Link
Petsche, Clayton A criterion for weak convergence on Berkovich projective space. (English) Zbl 1200.14046 Math. Ann. 348, No. 2, 449-465 (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 32P05 37P50 PDFBibTeX XMLCite \textit{C. Petsche}, Math. Ann. 348, No. 2, 449--465 (2010; Zbl 1200.14046) Full Text: DOI arXiv
Gubler, Walter Non-archimedean canonical measures on abelian varieties. (English) Zbl 1192.14021 Compos. Math. 146, No. 3, 683-730 (2010). Reviewer: Cristiana Bertolin (Padova) MSC: 14G40 11G10 14G22 PDFBibTeX XMLCite \textit{W. Gubler}, Compos. Math. 146, No. 3, 683--730 (2010; Zbl 1192.14021) Full Text: DOI arXiv
Baker, Matthew; Rumely, Robert Potential theory and dynamics on the Berkovich projective line. (English) Zbl 1196.14002 Mathematical Surveys and Monographs 159. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4924-8/hbk). xxxiii, 428 p. (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14-02 37-02 14G20 14G22 14G40 37P50 37P40 31C15 31C45 PDFBibTeX XMLCite \textit{M. Baker} and \textit{R. Rumely}, Potential theory and dynamics on the Berkovich projective line. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1196.14002) Full Text: arXiv
Yafaev, Andrei Galois orbits and equidistribution: Manin-Mumford and André-Oort. (English) Zbl 1209.11055 J. Théor. Nombres Bordx. 21, No. 2, 493-502 (2009). Reviewer: Benoît Stroh (Paris) MSC: 11G18 14G35 37A45 37P99 14K12 PDFBibTeX XMLCite \textit{A. Yafaev}, J. Théor. Nombres Bordx. 21, No. 2, 493--502 (2009; Zbl 1209.11055) Full Text: DOI Numdam EuDML Link
Chambert-Loir, Antoine; Thuillier, Amaury Mahler measures and logarithmic equidistribution. (Mesures de Mahler et équidistribution logarithmique.) (French) Zbl 1192.14020 Ann. Inst. Fourier 59, No. 3, 977-1014 (2009). Reviewer: Huayi Chen (Paris) MSC: 14G40 14G22 32U05 PDFBibTeX XMLCite \textit{A. Chambert-Loir} and \textit{A. Thuillier}, Ann. Inst. Fourier 59, No. 3, 977--1014 (2009; Zbl 1192.14020) Full Text: DOI arXiv Numdam EuDML
Faber, X. W. C. Equidistribution of dynamically small subvarieties over the function field of a curve. (English) Zbl 1234.37058 Acta Arith. 137, No. 4, 345-389 (2009). MSC: 37P50 14G40 11G35 11G50 PDFBibTeX XMLCite \textit{X. W. C. Faber}, Acta Arith. 137, No. 4, 345--389 (2009; Zbl 1234.37058) Full Text: DOI arXiv
Gubler, Walter Equidistribution over function fields. (English) Zbl 1189.14030 Manuscr. Math. 127, No. 4, 485-510 (2008). Reviewer: Jorge Pineiro (Bronx) MSC: 14G40 14T05 11G50 37P30 37P05 14C40 14G25 37P55 PDFBibTeX XMLCite \textit{W. Gubler}, Manuscr. Math. 127, No. 4, 485--510 (2008; Zbl 1189.14030) Full Text: DOI arXiv
Yuan, Xinyi Big line bundles over arithmetic varieties. (English) Zbl 1146.14016 Invent. Math. 173, No. 3, 603-649 (2008). Reviewer: Xander Faber (Montreal) MSC: 14G40 PDFBibTeX XMLCite \textit{X. Yuan}, Invent. Math. 173, No. 3, 603--649 (2008; Zbl 1146.14016) Full Text: DOI arXiv
Gubler, Walter The Bogomolov conjecture for totally degenerate abelian varieties. (English) Zbl 1153.14029 Invent. Math. 169, No. 2, 377-400 (2007). Reviewer: Paul Vojta (Berkeley) MSC: 14K05 11G50 14K12 14G05 PDFBibTeX XMLCite \textit{W. Gubler}, Invent. Math. 169, No. 2, 377--400 (2007; Zbl 1153.14029) Full Text: DOI arXiv
Clozel, L.; Ullmo, E. Adelic equidistribution of tori and equidistribution of CM points. (Équidistribution adélique des tores et équidistribution des points CM.) (French. English summary) Zbl 1144.14018 Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 233-260 (2006). Reviewer: Samuel James Patterson (Göttingen) MSC: 14G35 11G18 PDFBibTeX XMLCite \textit{L. Clozel} and \textit{E. Ullmo}, Doc. Math. Extra Vol., 233--260 (2007; Zbl 1144.14018) Full Text: EuDML EMIS
Chambert-Loir, Antoine Measures and equidistribution in Berkovich spaces. (Mesures et équidistribution sur les espaces de Berkovich.) (French) Zbl 1112.14022 J. Reine Angew. Math. 595, 215-235 (2006). Reviewer: Gunther Cornelissen (Utrecht) MSC: 14G22 11G40 14G25 PDFBibTeX XMLCite \textit{A. Chambert-Loir}, J. Reine Angew. Math. 595, 215--235 (2006; Zbl 1112.14022) Full Text: DOI arXiv
Flaminio, Livio; Forni, Giovanni Equidistribution of nilflows and applications to theta sums. (English) Zbl 1087.37026 Ergodic Theory Dyn. Syst. 26, No. 2, 409-433 (2006). MSC: 37D40 37A30 37E20 14K25 11L03 PDFBibTeX XMLCite \textit{L. Flaminio} and \textit{G. Forni}, Ergodic Theory Dyn. Syst. 26, No. 2, 409--433 (2006; Zbl 1087.37026) Full Text: DOI
Pineiro, Jorge; Szpiro, Lucien; Tucker, Thomas J. Mahler measure for dynamical systems on \(\mathbb P^1\) and intersection theory on a singular arithmetic surface. (English) Zbl 1101.11020 Bogomolov, Fedor (ed.) et al., Geometric methods in algebra and number theory. Basel: Birkhäuser (ISBN 0-8176-4349-4/hbk). Progress in Mathematics 235, 219-250 (2005). Reviewer: Paul Vojta (Berkeley) MSC: 11G50 14G40 37F10 PDFBibTeX XMLCite \textit{J. Pineiro} et al., Prog. Math. 235, 219--250 (2005; Zbl 1101.11020)
Ullmo, Emmanuel Ergodic theory and arithmetic geometry. (Théorie ergodique et géométrie arithmétique.) (English) Zbl 1009.11046 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 197-206 (2002). Reviewer: Herbert Lange (Erlangen) MSC: 11G18 11G10 14G40 14G35 PDFBibTeX XMLCite \textit{E. Ullmo}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 197--206 (2002; Zbl 1009.11046)
Katz, Nicholas M. Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. (English) Zbl 1023.11031 Finite Fields Appl. 7, No. 1, 45-69 (2001). Reviewer: Everett W.Howe (San Diego) MSC: 11G20 14D10 14D05 PDFBibTeX XMLCite \textit{N. M. Katz}, Finite Fields Appl. 7, No. 1, 45--69 (2001; Zbl 1023.11031) Full Text: DOI
Chambert-Loir, Antoine Points of small height on semi-Abelian varieties. (Points de petite hauteur sur les variétés semi-abéliennes.) (French) Zbl 1018.11034 Ann. Sci. Éc. Norm. Supér. (4) 33, No. 6, 789-821 (2000). Reviewer: P.Philippon (Paris) MSC: 11G50 14G40 14G15 PDFBibTeX XMLCite \textit{A. Chambert-Loir}, Ann. Sci. Éc. Norm. Supér. (4) 33, No. 6, 789--821 (2000; Zbl 1018.11034) Full Text: DOI Numdam EuDML
Zhang, Shou-Wu Distribution of almost division points. (English) Zbl 0972.11053 Duke Math. J. 103, No. 1, 39-46 (2000). Reviewer: Michael Stoll (Düsseldorf) MSC: 11G10 14K15 11G50 PDFBibTeX XMLCite \textit{S.-W. Zhang}, Duke Math. J. 103, No. 1, 39--46 (2000; Zbl 0972.11053) Full Text: DOI
Moriwaki, Atsushi Arithmetic height functions over finitely generated fields. (English) Zbl 1007.11042 Invent. Math. 140, No. 1, 101-142 (2000). MSC: 11G50 11G10 11G35 14G40 14K15 PDFBibTeX XMLCite \textit{A. Moriwaki}, Invent. Math. 140, No. 1, 101--142 (2000; Zbl 1007.11042) Full Text: DOI arXiv
Katz, Nicholas M.; Sarnak, Peter Random matrices, Frobenius eigenvalues, and monodromy. (English) Zbl 0958.11004 Colloquium Publications. American Mathematical Society (AMS). 45. Providence, RI: American Mathematical Society (AMS). xi, 419 p. (1999). Reviewer: Emilio Elizalde (Barcelona) MSC: 11-02 14-02 11M06 11Y35 14D05 11G25 14G10 82B44 60F99 PDFBibTeX XMLCite \textit{N. M. Katz} and \textit{P. Sarnak}, Random matrices, Frobenius eigenvalues, and monodromy. Providence, RI: American Mathematical Society (1999; Zbl 0958.11004)
Zhang, Shou-Wu Equidistribution of small points on abelian varieties. (English) Zbl 0991.11034 Ann. Math. (2) 147, No. 1, 159-165 (1998). Reviewer: Yuichiro Takeda (Kyushu) MSC: 11G50 11G10 14K15 14G05 14G40 PDFBibTeX XMLCite \textit{S.-W. Zhang}, Ann. Math. (2) 147, No. 1, 159--165 (1998; Zbl 0991.11034) Full Text: DOI
Bilu, Yuri Limit distribution of small points on algebraic tori. (English) Zbl 0918.11035 Duke Math. J. 89, No. 3, 465-476 (1997). Reviewer: P.Vojta (Berkeley) MSC: 11G35 14G25 14G05 11G25 11J68 PDFBibTeX XMLCite \textit{Y. Bilu}, Duke Math. J. 89, No. 3, 465--476 (1997; Zbl 0918.11035) Full Text: DOI
Szpiro, L.; Ullmo, E.; Zhang, S. Equidistribution of small points. (Equirépartition des petits points.) (French) Zbl 0991.11035 Invent. Math. 127, No. 2, 337-347 (1997). Reviewer: Antoine Chambert-Loir (MR 98i;14027) MSC: 11G50 14G40 14G05 14G35 11G10 PDFBibTeX XMLCite \textit{L. Szpiro} et al., Invent. Math. 127, No. 2, 337--347 (1997; Zbl 0991.11035) Full Text: DOI
Odoni, R. W. K.; Spain, P. G. Equidistribution of values of rational functions \(\pmod p\). (English) Zbl 0838.11077 Proc. R. Soc. Edinb., Sect. A 125, No. 5, 911-929 (1995). Reviewer: B.Z.Moroz (Bonn) MSC: 11R58 11J71 14G15 11T23 PDFBibTeX XMLCite \textit{R. W. K. Odoni} and \textit{P. G. Spain}, Proc. R. Soc. Edinb., Sect. A, Math. 125, No. 5, 911--929 (1995; Zbl 0838.11077) Full Text: DOI
Fisher, Benji Equidistribution theorems (d’après P. Deligne et N. Katz). (English) Zbl 0849.11059 Columbia University number theory seminar, New York, 1992. Paris: Société Mathématique de France, Astérisque. 228, 69-79 (1995). MSC: 11L05 11G25 11L07 14F20 14G15 PDFBibTeX XMLCite \textit{B. Fisher}, in: Columbia University number theory seminar, New York, 1992. Paris: Société Mathématique de France. 69--79 (1995; Zbl 0849.11059)
Fisher, Benji Kloosterman sums as algebraic integers. (English) Zbl 0816.11065 Math. Ann. 301, No. 3, 485-505 (1995). Reviewer: B.Fisher (New York) MSC: 11T24 11L05 14G15 11G25 14F20 11R04 PDFBibTeX XMLCite \textit{B. Fisher}, Math. Ann. 301, No. 3, 485--505 (1995; Zbl 0816.11065) Full Text: DOI EuDML
Serre, Jean-Pierre Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) (French) Zbl 0812.14002 Jannsen, Uwe (ed.) et al., Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 55, Pt. 1, 377-400 (1994). Reviewer: W. W. J. Hulsbergen (Haarlem) MSC: 14A20 11E72 14D07 14C35 PDFBibTeX XMLCite \textit{J.-P. Serre}, Proc. Symp. Pure Math. 55, 377--400 (1994; Zbl 0812.14002)
Katz, Nicholas M. Exponential sums and differential equations. (English) Zbl 0731.14008 Annals of Mathematics Studies, 124. Princeton, NJ: Princeton University Press. ix, 430 p. $ 22.50/pbk; $ 65.00/hbk (1990). Reviewer: Francesco Baldassarri (Padova) MSC: 14F10 14-02 12-02 11-02 11T23 12H25 14G15 12H20 PDFBibTeX XMLCite \textit{N. M. Katz}, Exponential sums and differential equations. Princeton, NJ: Princeton University Press (1990; Zbl 0731.14008) Full Text: DOI
Katz, Nicholas M. Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. (English) Zbl 0727.11057 Bull. Am. Math. Soc., New Ser. 23, No. 2, 269-309 (1990). Reviewer: Francesco Baldassarri (Padova) MSC: 11T23 14F99 12H05 32C38 14J20 14G40 PDFBibTeX XMLCite \textit{N. M. Katz}, Bull. Am. Math. Soc., New Ser. 23, No. 2, 269--309 (1990; Zbl 0727.11057) Full Text: DOI
Friedman, Eduardo; Washington, Lawrence C. On the distribution of divisor class groups of curves over a finite field. (English) Zbl 0693.12013 Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 227-239 (1989). Reviewer: Hans-Georg Rück (Essen) MSC: 11R58 11R29 14H05 PDFBibTeX XML
Katz, Nicholas M. Gauss sums, Kloosterman sums, and monodromy groups. (English) Zbl 0675.14004 Annals of Mathematics Studies, 116. Princeton, NJ: Princeton University Press. viii, 246 p. $ 52.50 (1988). Reviewer: Pilar Bayer (Barcelona) MSC: 14F06 14G25 11T23 11-02 14-02 PDFBibTeX XMLCite \textit{N. M. Katz}, Gauss sums, Kloosterman sums, and monodromy groups. Princeton, NJ: Princeton University Press (1988; Zbl 0675.14004) Full Text: DOI
Moroz, B. Z. Equidistribution of Frobenius classes and the volumes of tubes. (English) Zbl 0597.12016 Acta Arith. 51, No. 3, 269-276 (1988). MSC: 11R45 11N13 14Pxx PDFBibTeX XMLCite \textit{B. Z. Moroz}, Acta Arith. 51, No. 3, 269--276 (1988; Zbl 0597.12016) Full Text: DOI EuDML
Moroz, B. Z. Analytic arithmetic in algebraic number fields. (English) Zbl 0595.12005 Lecture Notes in Mathematics. 1205. Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn, Vol. 7. Berlin etc.: Springer-Verlag. VII, 177 p. DM 28.50 (1986). Reviewer: J.Hinz MSC: 11R42 11R45 14G05 12-02 11R39 11D57 PDFBibTeX XML Full Text: DOI
Shiffman, Bernard Introduction to the Carlson-Griffiths equidistribution theory. (English) Zbl 0576.32037 Value distribution theory, Proc. Nordic Summer Sch., Joensuu/Finl. 1981, Lect. Notes Math. 981, 44-89 (1983). MSC: 32H30 32A22 32C30 53C65 14B10 PDFBibTeX XML
Murty, V. Kumar On the Sato-Tate conjecture. (English) Zbl 0526.14011 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 195-205 (1982). MSC: 14G25 11R58 14G10 14K15 PDFBibTeX XML