Translation surface (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Translation surface" in English language version.

refsWebsite

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14doi.org

2^nd place

7arxiv.org

69^th place

59^th place

7semanticscholar.org

11^th place

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6harvard.edu

18^th place

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5ams.org

451^st place

277^th place

2jstor.org

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2worldcat.org

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1web.archive.org

1^st place

1univ-mrs.fr

low place

1projecteuclid.org

3,707^th place

2,409^th place

ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Masur, Howard (1982). "Two boundaries of TeichmÛller space". Duke Math. J. 49: 183–190. doi:10.1215/s0012-7094-82-04912-2. MR 0650376.
Hubert & Schmidt 2006, Section 1.3, Structure of Veech Groups, pp. 12–15. Hubert, Pascal; Schmidt, Thomas A. (2006), "An introduction to Veech surfaces" (PDF), Handbook of dynamical systems. Vol. 1B, Handbook of Dynamical Systems, vol. 1, Elsevier B. V., Amsterdam, pp. 501–526, doi:10.1016/S1874-575X(06)80031-7, ISBN 9780444520555, MR 2186246, archived from the original (PDF) on 2012-11-14
Veech 1989. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945
Masur 2006, Theorem 2. Masur, Howard (2006), "Ergodic theory of translation surfaces", Handbook of dynamical systems. Vol. 1B, Handbook of Dynamical Systems, vol. 1, Elsevier B. V., Amsterdam, pp. 527–547, doi:10.1016/S1874-575X(06)80032-9, ISBN 9780444520555, MR 2186247
Veech 1989, Theorem 1. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945

arxiv.org (Global: 69^th place; English: 59^th place)

Eskin, Alex; Okounkov, Andrei (2001). "Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials". Inventiones Mathematicae. 145 (1): 59–103. arXiv:math/0006171. Bibcode:2001InMat.145...59E. doi:10.1007/s002220100142. S2CID 14125769.
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don Bernhard (2019). "Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials". Inventiones Mathematicae. 222 (1): 283. arXiv:1901.01785. Bibcode:2020InMat.222..283C. doi:10.1007/s00222-020-00969-4. S2CID 119655348.
Lenzhen, Anna (2008). "Teichmüller geodesics that do not have a limit in PMF". Geometry and Topology. 12: 177–197. arXiv:math/0511001. doi:10.2140/gt.2008.12.177. S2CID 16047629.
Hubert, Pascal; Lanneau, Erwan (2006). "Veech groups without parabolic elements". Duke Mathematical Journal. 133 (2): 335–346. arXiv:math/0503047. doi:10.1215/s0012-7094-06-13326-4. S2CID 14274833.
Zorich 2006, 6.1. Zorich, Anton (2006). "Flat surfaces". In Cartier, P.; Julia, B.; Moussa, P.; Vanhove, P. (eds.). Frontiers in Number Theory, Physics and Geometry. Volume 1: On random matrices, zeta functions and dynamical systems. Springer-Verlag. arXiv:math/0609392. Bibcode:2006math......9392Z.
Eskin, Alex; Masur, Howard; Zorich, Anton (2003). "Moduli spaces of abelian differentials : the principal boundary, counting problems, and the Siegel-Veech constants". Publications Mathématiques de l'IHÉS. 97: 61–179. arXiv:math/0202134. doi:10.1007/s10240-003-0015-1. S2CID 119713402.
Zorich 2006, Chapter 5. Zorich, Anton (2006). "Flat surfaces". In Cartier, P.; Julia, B.; Moussa, P.; Vanhove, P. (eds.). Frontiers in Number Theory, Physics and Geometry. Volume 1: On random matrices, zeta functions and dynamical systems. Springer-Verlag. arXiv:math/0609392. Bibcode:2006math......9392Z.

doi.org (Global: 2^nd place; English: 2^nd place)

Veech, William A. (1982). "Gauss Measures for Transformations on the Space of Interval Exchange Maps". Annals of Mathematics. 115 (2): 201–242. doi:10.2307/1971391. JSTOR 1971391.
Masur, Howard (1982). "Interval Exchange Transformations and Measured Foliations". Annals of Mathematics. 115 (1): 169–200. doi:10.2307/1971341. JSTOR 1971341.
Eskin, Alex; Okounkov, Andrei (2001). "Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials". Inventiones Mathematicae. 145 (1): 59–103. arXiv:math/0006171. Bibcode:2001InMat.145...59E. doi:10.1007/s002220100142. S2CID 14125769.
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don Bernhard (2019). "Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials". Inventiones Mathematicae. 222 (1): 283. arXiv:1901.01785. Bibcode:2020InMat.222..283C. doi:10.1007/s00222-020-00969-4. S2CID 119655348.
Lenzhen, Anna (2008). "Teichmüller geodesics that do not have a limit in PMF". Geometry and Topology. 12: 177–197. arXiv:math/0511001. doi:10.2140/gt.2008.12.177. S2CID 16047629.
Masur, Howard (1982). "Two boundaries of TeichmÛller space". Duke Math. J. 49: 183–190. doi:10.1215/s0012-7094-82-04912-2. MR 0650376.
Hubert & Schmidt 2006, Section 1.3, Structure of Veech Groups, pp. 12–15. Hubert, Pascal; Schmidt, Thomas A. (2006), "An introduction to Veech surfaces" (PDF), Handbook of dynamical systems. Vol. 1B, Handbook of Dynamical Systems, vol. 1, Elsevier B. V., Amsterdam, pp. 501–526, doi:10.1016/S1874-575X(06)80031-7, ISBN 9780444520555, MR 2186246, archived from the original (PDF) on 2012-11-14
McMullen, Curtis T. (2003). "Teichmüller geodesics of infinite complexity". Acta Math. 191 (2): 191–223. doi:10.1007/bf02392964.
Veech 1989. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945
Gutkin & Judge 2000. Gutkin, Eugene; Judge, Chris. (2000), "Affine mappings of translation surfaces: geometry and arithmetic", Duke Math. J., 103 (3): 191–213, doi:10.1215/S0012-7094-00-10321-3
Hubert, Pascal; Lanneau, Erwan (2006). "Veech groups without parabolic elements". Duke Mathematical Journal. 133 (2): 335–346. arXiv:math/0503047. doi:10.1215/s0012-7094-06-13326-4. S2CID 14274833.
Masur 2006, Theorem 2. Masur, Howard (2006), "Ergodic theory of translation surfaces", Handbook of dynamical systems. Vol. 1B, Handbook of Dynamical Systems, vol. 1, Elsevier B. V., Amsterdam, pp. 527–547, doi:10.1016/S1874-575X(06)80032-9, ISBN 9780444520555, MR 2186247
Eskin, Alex; Masur, Howard; Zorich, Anton (2003). "Moduli spaces of abelian differentials : the principal boundary, counting problems, and the Siegel-Veech constants". Publications Mathématiques de l'IHÉS. 97: 61–179. arXiv:math/0202134. doi:10.1007/s10240-003-0015-1. S2CID 119713402.
Veech 1989, Theorem 1. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Eskin, Alex; Okounkov, Andrei (2001). "Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials". Inventiones Mathematicae. 145 (1): 59–103. arXiv:math/0006171. Bibcode:2001InMat.145...59E. doi:10.1007/s002220100142. S2CID 14125769.
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don Bernhard (2019). "Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials". Inventiones Mathematicae. 222 (1): 283. arXiv:1901.01785. Bibcode:2020InMat.222..283C. doi:10.1007/s00222-020-00969-4. S2CID 119655348.
Veech 1989. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945
Zorich 2006, 6.1. Zorich, Anton (2006). "Flat surfaces". In Cartier, P.; Julia, B.; Moussa, P.; Vanhove, P. (eds.). Frontiers in Number Theory, Physics and Geometry. Volume 1: On random matrices, zeta functions and dynamical systems. Springer-Verlag. arXiv:math/0609392. Bibcode:2006math......9392Z.
Veech 1989, Theorem 1. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945
Zorich 2006, Chapter 5. Zorich, Anton (2006). "Flat surfaces". In Cartier, P.; Julia, B.; Moussa, P.; Vanhove, P. (eds.). Frontiers in Number Theory, Physics and Geometry. Volume 1: On random matrices, zeta functions and dynamical systems. Springer-Verlag. arXiv:math/0609392. Bibcode:2006math......9392Z.

jstor.org (Global: 26^th place; English: 20^th place)

Veech, William A. (1982). "Gauss Measures for Transformations on the Space of Interval Exchange Maps". Annals of Mathematics. 115 (2): 201–242. doi:10.2307/1971391. JSTOR 1971391.
Masur, Howard (1982). "Interval Exchange Transformations and Measured Foliations". Annals of Mathematics. 115 (1): 169–200. doi:10.2307/1971341. JSTOR 1971341.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Gutkin & Judge 2000. Gutkin, Eugene; Judge, Chris. (2000), "Affine mappings of translation surfaces: geometry and arithmetic", Duke Math. J., 103 (3): 191–213, doi:10.1215/S0012-7094-00-10321-3

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Eskin, Alex; Okounkov, Andrei (2001). "Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials". Inventiones Mathematicae. 145 (1): 59–103. arXiv:math/0006171. Bibcode:2001InMat.145...59E. doi:10.1007/s002220100142. S2CID 14125769.
Chen, Dawei; Möller, Martin; Sauvaget, Adrien; Zagier, Don Bernhard (2019). "Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials". Inventiones Mathematicae. 222 (1): 283. arXiv:1901.01785. Bibcode:2020InMat.222..283C. doi:10.1007/s00222-020-00969-4. S2CID 119655348.
Lenzhen, Anna (2008). "Teichmüller geodesics that do not have a limit in PMF". Geometry and Topology. 12: 177–197. arXiv:math/0511001. doi:10.2140/gt.2008.12.177. S2CID 16047629.
Veech 1989. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945
Hubert, Pascal; Lanneau, Erwan (2006). "Veech groups without parabolic elements". Duke Mathematical Journal. 133 (2): 335–346. arXiv:math/0503047. doi:10.1215/s0012-7094-06-13326-4. S2CID 14274833.
Eskin, Alex; Masur, Howard; Zorich, Anton (2003). "Moduli spaces of abelian differentials : the principal boundary, counting problems, and the Siegel-Veech constants". Publications Mathématiques de l'IHÉS. 97: 61–179. arXiv:math/0202134. doi:10.1007/s10240-003-0015-1. S2CID 119713402.
Veech 1989, Theorem 1. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945

univ-mrs.fr (Global: low place; English: low place)

cmi.univ-mrs.fr

Hubert & Schmidt 2006, Section 1.3, Structure of Veech Groups, pp. 12–15. Hubert, Pascal; Schmidt, Thomas A. (2006), "An introduction to Veech surfaces" (PDF), Handbook of dynamical systems. Vol. 1B, Handbook of Dynamical Systems, vol. 1, Elsevier B. V., Amsterdam, pp. 501–526, doi:10.1016/S1874-575X(06)80031-7, ISBN 9780444520555, MR 2186246, archived from the original (PDF) on 2012-11-14

web.archive.org (Global: 1^st place; English: 1^st place)

Hubert & Schmidt 2006, Section 1.3, Structure of Veech Groups, pp. 12–15. Hubert, Pascal; Schmidt, Thomas A. (2006), "An introduction to Veech surfaces" (PDF), Handbook of dynamical systems. Vol. 1B, Handbook of Dynamical Systems, vol. 1, Elsevier B. V., Amsterdam, pp. 501–526, doi:10.1016/S1874-575X(06)80031-7, ISBN 9780444520555, MR 2186246, archived from the original (PDF) on 2012-11-14

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Veech 1989. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945
Veech 1989, Theorem 1. Veech, W. A. (1989), "Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards", Inventiones Mathematicae, 97 (3): 553–583, Bibcode:1989InMat..97..553V, doi:10.1007/BF01388890, ISSN 0020-9910, MR 1005006, S2CID 189831945

Translation surface (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)

harvard.edu (Global: 18th place; English: 17th place)