{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T15:45:22Z","timestamp":1725723922255},"publisher-location":"New York, NY","reference-count":44,"publisher":"Springer New York","isbn-type":[{"type":"print","value":"9781441923301"},{"type":"electronic","value":"9780387218304"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2000]]},"DOI":"10.1007\/978-0-387-21830-4_24","type":"book-chapter","created":{"date-parts":[[2013,4,30]],"date-time":"2013-04-30T17:32:13Z","timestamp":1367343133000},"page":"443-490","source":"Crossref","is-referenced-by-count":2,"title":["SRB measures for partially hyperbolic systems whose central direction is mostly expanding"],"prefix":"10.1007","author":[{"given":"Jos\u00e9 F.","family":"Alves","sequence":"first","affiliation":[]},{"given":"Christian","family":"Bonatti","sequence":"additional","affiliation":[]},{"given":"Marcelo","family":"Viana","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"24_CR1","first-page":"336","volume":"234","author":"VS Afraimovich","year":"1977","unstructured":"V. S. Afraimovich, V. V. Bykov, L. P. Shil\u2019nikov. On the appearence and structure of the Lorenz attractor. Dokl. Acad. Sci. USSR, 234: 336\u2013339, 1977","journal-title":"Dokl. Acad. Sci. USSR"},{"key":"24_CR2","volume-title":"To appear Ann. Sci. \u00c9cole Norm. Sup","author":"JF Alves","year":"1997","unstructured":"J. F. Alves. SRB measures for nonhyperbolic systems with multidimensional expansion. PhD thesis, IMPA, 1997. To appear Ann. Sci. \u00c9cole Norm. Sup."},{"key":"24_CR3","doi-asserted-by":"publisher","first-page":"73","DOI":"10.2307\/2944326","volume":"133","author":"M Benedicks","year":"1991","unstructured":"M. Benedicks, L. Carleson. The dynamics of the H\u00e9non map. Annals of Math., 133: 73\u2013169, 1991","journal-title":"Annals of Math"},{"key":"24_CR4","doi-asserted-by":"publisher","first-page":"357","DOI":"10.2307\/2118647","volume":"143","author":"C Bonatti","year":"1996","unstructured":"C. Bonatti, L. J. D\u00edaz. Nonhyperbolic transitive diffeomorphisms. Annals of Math., 143: 357\u2013396, 1996","journal-title":"Annals of Math"},{"key":"24_CR5","volume-title":"Preprint","author":"C Bonatti","year":"1999","unstructured":"C. Bonatti, L. J. Diaz, E. Pujals. A C1-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks or sources. Preprint, 1999"},{"key":"24_CR6","volume-title":"volume 470 of Lect. Notes in Math. Springer Verlag","author":"R Bowen","year":"1975","unstructured":"R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphisms, volume 470 of Lect. Notes in Math. Springer Verlag, 1975"},{"key":"24_CR7","first-page":"177","volume":"1","author":"M Brin","year":"1974","unstructured":"M. Brin, Ya. Pesin. Partially hyperbolic dynamical systems. Izv. Acad. Nauk. SSSR, 1: 177\u2013212, 1974","journal-title":"Izv. Acad. Nauk. SSSR"},{"key":"24_CR8","doi-asserted-by":"publisher","first-page":"883","DOI":"10.1016\/S0764-4442(97)80131-0","volume":"1","author":"C Bonatti","year":"1997","unstructured":"C. Bonatti, A. Pumari\u00f1o, M. Viana. Lorenz attractors with arbitrary expanding dimension. C. R. Acad. Sci. Paris, 325, S\u00e9rie 1: 883\u2013888, 1997","journal-title":"C. R. Acad. Sci. Paris, 325, S\u00e9rie"},{"key":"24_CR9","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1007\/BF01389848","volume":"29","author":"R Bowen","year":"1975","unstructured":"R. Bowen, D. Ruelle. The ergodic theory of Axiom A flows. Invent. math., 29: 181\u2013202, 1975","journal-title":"Invent. math."},{"key":"24_CR10","volume-title":"Preprint","author":"M Benedicks","year":"1999","unstructured":"M. Benedicks, M. Viana. Solution of the basin problem for H\u00e9non-like attractors. Preprint, 1999"},{"key":"24_CR11","volume-title":"Israel Journal Math","author":"C Bonatti","year":"1999","unstructured":"C. Bonatti, M. Viana. SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Israel Journal Math., 1999. To appear"},{"key":"24_CR12","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1017\/S0143385700006556","volume":"12","author":"M Benedicks","year":"1992","unstructured":"M. Benedicks, L.-S. Young. Absolutely continuous invariant measures and ran-dom perturbations for certain one-dimensional maps. Ergod. Th. and Dynam. Sys., 12: 13\u201337, 1992","journal-title":"Ergod. Th. and Dynam. Sys"},{"key":"24_CR13","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1017\/S0143385700007185","volume":"13","author":"M Carvalho","year":"1993","unstructured":"M. Carvalho. Sinai-Ruelle-Bowen measures for n-dimensional derived from Anosov diffeomorphisms. Ergod. Th. and Dynam. Sys., 13: 21\u201344, 1993","journal-title":"Ergod. Th. and Dynam. Sys."},{"key":"24_CR14","volume-title":"Backward inducing and exponential decay of correlations for partially hyperbolic attractors with mostly contracting central direction","author":"AA Castro","year":"1998","unstructured":"A. A. Castro. Backward inducing and exponential decay of correlations for partially hyperbolic attractors with mostly contracting central direction. PhD thesis, IMPA, 1998"},{"key":"24_CR15","unstructured":"D. Dolgopyat. On dynamics of mostly contracting diffeomorphisms. Preprint,1998"},{"key":"24_CR16","volume-title":"Acta Math","author":"LJ D\u00edaz","year":"1999","unstructured":"L. J. D\u00edaz, E. Pujals, R. Ures. Partial hyperbolicity and robust transitivity. Acta Math., 1999. To appear"},{"key":"24_CR17","doi-asserted-by":"publisher","first-page":"295","DOI":"10.2307\/2118602","volume":"140","author":"M Grayson","year":"1994","unstructured":"M. Grayson, C. Pugh, M. Shub. Stably ergodic diffeomorphisms. Annals of Math., 140: 295\u2013329, 1994","journal-title":"Annals of Math"},{"key":"24_CR18","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/BF02684769","volume":"50","author":"J Guckenheimer","year":"1979","unstructured":"J. Guckenheimer, R. F. Williams. Structural stability of Lorenz attractors. Publ. Math. IRES, 50: 59\u201372, 1979","journal-title":"Publ. Math. IRES"},{"key":"24_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0092042","volume-title":"Invariant manifolds, volume 583 of Lect","author":"M Hirsch","year":"1977","unstructured":"M. Hirsch, C. Pugh, M. Shub. Invariant manifolds, volume 583 of Lect. Notes in Math. Springer Verlag, 1977"},{"key":"24_CR20","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF01941800","volume":"81","author":"M Jakobson","year":"1981","unstructured":"M. Jakobson. Absolutely continuous invariant measures for one-parameter fami- lies of one-dimensional maps. Comm. Math. Phys., 81: 39\u201388, 1981","journal-title":"Comm. Math. Phys."},{"key":"24_CR21","first-page":"68","volume":"31","author":"I Kan","year":"1994","unstructured":"I. Kan. Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin. Bull. Amer. Math. Soc., 31: 68\u201374, 1994","journal-title":"Math. Soc."},{"key":"24_CR22","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1017\/S0143385700005861","volume":"10","author":"G Keller","year":"1990","unstructured":"G. Keller. Exponents, attractors and Hopf decompositions. Ergod. Th. and Dynam. Sys., 10: 717\u2013744, 1990","journal-title":"Ergod. Th. and Dynam. Sys"},{"key":"24_CR23","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1017\/S0143385700001176","volume":"1","author":"F Ledrappier","year":"1981","unstructured":"F. Ledrappier. Some properties of absolutely continuous invariant measures on an interval. Ergod. Th. and Dynam. Sys., 1: 77\u201393, 1981","journal-title":"Ergod. Th. and Dynam. Sys."},{"key":"24_CR24","volume-title":"Preprint","author":"M Lyubich","year":"1997","unstructured":"M. Lyubich. Almost every real quadratic map is either regular or stochastic. Preprint, 1997"},{"key":"24_CR25","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1016\/0040-9383(78)90005-8","volume":"17","author":"R Ma\u00f1\u00e9","year":"1978","unstructured":"R. Ma\u00f1\u00e9. Contributions to the stability conjecture. Topology, 17: 383\u2013396, 1978","journal-title":"Topology"},{"key":"24_CR26","doi-asserted-by":"publisher","first-page":"503","DOI":"10.2307\/2007021","volume":"116","author":"R Ma\u00f1\u00e9","year":"1982","unstructured":"R. Ma\u00f1\u00e9. An ergodic closing lemma. Annals of Math., 116: 503\u2013540, 1982","journal-title":"Annals of Math"},{"key":"24_CR27","volume-title":"Springer Verlag","author":"R Ma\u00f1\u00e9","year":"1987","unstructured":"R. Ma\u00f1\u00e9. Ergodic theory and differentiable dynamics. Springer Verlag, 1987"},{"key":"24_CR28","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0764-4442(97)82717-6","volume":"1","author":"C Morales","year":"1998","unstructured":"C. Morales, M. J. Pacifico, E. Pujals. On C1 robust singular transitive sets for three-dimensional flows. C. R. Acad. Sci. Paris, 326, S\u00e9rie 1: 81\u201386, 1998","journal-title":"C. R. Acad. Sci. Paris, 326, S\u00e9rie"},{"key":"24_CR29","first-page":"339","volume":"261","author":"J Palis","year":"1999","unstructured":"J. Palis. A global view of Dynamics and a conjecture on the denseness of finitude of attractors. Ast\u00e9risque, 261: 339\u2013351, 1999","journal-title":"Ast\u00e9risque"},{"key":"24_CR30","doi-asserted-by":"publisher","first-page":"1261","DOI":"10.1070\/IM1976v010n06ABEH001835","volume":"10","author":"Y Pesin","year":"1976","unstructured":"Ya. Pesin. Families of invariant manifolds corresponding to non-zero characteristic exponents. Math. USSR. Izv., 10: 1261\u20131302, 1976","journal-title":"USSR. Izv."},{"key":"24_CR31","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1017\/S0143385700006635","volume":"12","author":"Y Pesin","year":"1992","unstructured":"Ya. Pesin. Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties. Ergod. Th. and Dynam. Sys., 12: 123\u2013151, 1992","journal-title":"Ergod. Th. and Dynam. Sys."},{"key":"24_CR32","first-page":"262","volume":"8","author":"V Pliss","year":"1972","unstructured":"V. Pliss. On a conjecture due to Smale. Diff. Uravnenija, 8: 262\u2013268, 1972","journal-title":"Diff. Uravnenija"},{"key":"24_CR33","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1017\/S014338570000170X","volume":"2","author":"Y Pesin","year":"1982","unstructured":"Ya. Pesin, Ya. Sinai. Gibbs measures for partially hyperbolic attractors. Ergot Th. and Dynam. Sys., 2: 417\u2013438, 1982","journal-title":"Ergot Th. and Dynam. Sys"},{"key":"24_CR34","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/S0002-9947-1989-0983869-1","volume":"312","author":"C Pugh","year":"1989","unstructured":"C. Pugh, M. Shub. Ergodic attractors. Trans. Amer. Math. Soc., 312: 1\u201354, 1989","journal-title":"Trans. Amer. Math. Soc"},{"key":"24_CR35","first-page":"107","volume":"25","author":"VA Rokhlin","year":"1949","unstructured":"V.A. Rokhlin. On the fundamental ideas of measure theory. A. M. S. Transi., 10:1\u201352, 1962. Trans!. from Mat. Sbornik 25 (1949), 107\u2013150","journal-title":"A. M. S. Transi., 10:1-52, 1962. Trans!. from Mat. Sbornik"},{"key":"24_CR36","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/BF01237679","volume":"24","author":"A Rovella","year":"1993","unstructured":"A. Rovella. The dynamics of perturbations of the contracting Lorenz attractor. Bull. Braz. Math. Soc., 24: 233\u2013259, 1993","journal-title":"Bull. Braz. Math. Soc."},{"key":"24_CR37","doi-asserted-by":"crossref","first-page":"619","DOI":"10.2307\/2373810","volume":"98","author":"D. Ruelle","year":"1976","unstructured":"D. Ruelle. A measure associated with Axiom A attractors. Amer. J. Math., 98: 619\u2013654, 1976","journal-title":"Amer. J. Math."},{"key":"24_CR38","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1070\/RM1992v047n01ABEH000864","volume":"471","author":"EA Sataev","year":"1992","unstructured":"E. A. Sataev. Invariant measures for hyperbolic maps with singularities. Russ. Math. Surveys, 471: 191\u2013251, 1992","journal-title":"Russ. Math. Surveys"},{"key":"24_CR39","volume-title":"Springer Verlag","author":"M Shub","year":"1971","unstructured":"M. Shub. Topologically transitive diffeomorphisms on T4. volume 206 of Lect. Notes in Math., page 39. Springer Verlag, 1971"},{"key":"24_CR40","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1070\/RM1972v027n04ABEH001383","volume":"27","author":"Y Sinai","year":"1972","unstructured":"Ya. Sinai. Gibbs measure in ergodic theory. Russian Math. Surveys, 27: 21\u201369, 1972","journal-title":"Russian Math. Surveys"},{"key":"24_CR41","volume-title":"Preprint","author":"M Shub","year":"1998","unstructured":"M. Shub, A. Wilkinson. Pathological foliations and removable zero exponents. Preprint, 1998"},{"key":"24_CR42","first-page":"1202","volume":"1197","author":"W Tucker","year":"1999","unstructured":"W. Tucker. The lorenz attractor exists. C. R. Acad. Sci. Paris, 328, S\u00e9rie I: 1197 1202, 1999","journal-title":"C. R. Acad. Sci. Paris, 328, S\u00e9rie"},{"key":"24_CR43","first-page":"6996","volume":"85","author":"M Viana","year":"1997","unstructured":"M. Viana. Multidimensional nonhyperbolic attractors. Publ. Math. IRES, 85: 6996, 1997","journal-title":"Publ. Math. IRES"},{"key":"24_CR44","first-page":"525","volume":"318","author":"L-S Young","year":"1990","unstructured":"L.-S. Young. Large deviations in dynamical systems. Trans. Amer. Math. Soc., 318: 525\u2013543, 1990","journal-title":"Trans. Amer. Math. Soc."}],"container-title":["The Theory of Chaotic Attractors"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-21830-4_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,13]],"date-time":"2019-07-13T05:09:01Z","timestamp":1562994541000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-0-387-21830-4_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000]]},"ISBN":["9781441923301","9780387218304"],"references-count":44,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-21830-4_24","relation":{},"subject":[],"published":{"date-parts":[[2000]]}}}