{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T01:09:21Z","timestamp":1676855361333},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,7]]},"abstract":"<jats:p> We consider a genus 2 surface, M, of constant negative curvature and we construct a 12-sided fundamental domain, where the sides are segments of the lifts of closed geodesics on M (which determines the Fenchel\u2013Nielsen\u2013Maskit coordinates). Then we study the linear fractional transformations of the side pairing of the fundamental domain. This construction gives rise to 24 distinct points on the boundary of the hyperbolic covering space. Their itineraries determine Markov partitions that we use to study the dependence of the Lyapunov exponent and length spectrum of the closed geodesics with the Fenchel\u2013Nielsen coordinates. <\/jats:p>","DOI":"10.1142\/s0218127403007783","type":"journal-article","created":{"date-parts":[[2003,8,28]],"date-time":"2003-08-28T05:49:31Z","timestamp":1062049771000},"page":"1949-1958","source":"Crossref","is-referenced-by-count":4,"title":["Boundary Maps and Fenchel\u2013Nielsen\u2013Maskit Coordinates"],"prefix":"10.1142","volume":"13","author":[{"given":"Clara","family":"Gr\u00e1cio","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, CIMA, Universidade de \u00c9vora, Portugal"}]},{"given":"J.","family":"Sousa Ramos","sequence":"additional","affiliation":[{"name":"Departamento de Matematica, Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"255","volume":"25","author":"Adler R.","journal-title":"Bull. A.M.S."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1146-4"},{"key":"rf3","first-page":"153","volume":"50","author":"Bowen R.","journal-title":"I.H.E.S. Publications"},{"key":"rf4","first-page":"195","volume":"339","author":"Gr\u00e1cio C.","journal-title":"Grazer Math. Ber."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-4-431-68174-8"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s002220050103"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-99-04973-4"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s002220050190"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007783","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:17:14Z","timestamp":1565122634000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007783"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":8,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,7]]}},"alternative-id":["10.1142\/S0218127403007783"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007783","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}