{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T15:49:02Z","timestamp":1725896942438},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642370663"},{"type":"electronic","value":"9783642370670"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-37067-0_10","type":"book-chapter","created":{"date-parts":[[2013,3,16]],"date-time":"2013-03-16T13:52:31Z","timestamp":1363441951000},"page":"107-118","source":"Crossref","is-referenced-by-count":8,"title":["Critical Connectedness of Thin Arithmetical Discrete Planes"],"prefix":"10.1007","author":[{"given":"Val\u00e9rie","family":"Berth\u00e9","sequence":"first","affiliation":[]},{"given":"Damien","family":"Jamet","sequence":"additional","affiliation":[]},{"given":"Timo","family":"Jolivet","sequence":"additional","affiliation":[]},{"given":"Xavier","family":"Proven\u00e7al","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"1-3","key":"10_CR1","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1016\/S1524-0703(03)00004-3","volume":"65","author":"E. Andres","year":"2003","unstructured":"Andres, E.: Discrete linear objects in dimension n: the standard model. Graphical Models\u00a065(1-3), 92\u2013111 (2003)","journal-title":"Graphical Models"},{"issue":"5","key":"10_CR2","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1006\/gmip.1997.0427","volume":"59","author":"E. Andres","year":"1997","unstructured":"Andres, E., Acharya, R., Sibata, C.: Discrete analytical hyperplanes. CVGIP: Graphical Model and Image Processing\u00a059(5), 302\u2013309 (1997)","journal-title":"CVGIP: Graphical Model and Image Processing"},{"issue":"2","key":"10_CR3","doi-asserted-by":"crossref","first-page":"181","DOI":"10.36045\/bbms\/1102714169","volume":"8","author":"P. Arnoux","year":"2001","unstructured":"Arnoux, P., Ito, S.: Pisot substitutions and Rauzy fractals. Bull. Belg. Math. Soc. Simon Stevin\u00a08(2), 181\u2013207 (2001)","journal-title":"Bull. Belg. Math. Soc. Simon Stevin"},{"key":"10_CR4","unstructured":"Berth\u00e9, V., Domenjoud, E., Jamet, D., Proven\u00e7al, X., Toutant, J.L.: Oral Communication in Numeration and Substitution 2012, June 4-8, Kyoto (2012)"},{"issue":"1","key":"10_CR5","first-page":"173","volume":"7","author":"V. Berth\u00e9","year":"2012","unstructured":"Berth\u00e9, V., Jolivet, T., Siegel, A.: Substitutive Arnoux-rauzy sequences have pure discrete spectrum. Unif. Distrib. Theory\u00a07(1), 173\u2013197 (2012)","journal-title":"Unif. Distrib. Theory"},{"issue":"1-3","key":"10_CR6","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1016\/j.tcs.2004.02.015","volume":"319","author":"V.E. Brimkov","year":"2004","unstructured":"Brimkov, V.E., Barneva, R.P.: Connectivity of discrete planes. Theor. Comput. Sci.\u00a0319(1-3), 203\u2013227 (2004)","journal-title":"Theor. Comput. Sci."},{"key":"10_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"362","DOI":"10.1007\/978-3-642-04397-0_31","volume-title":"Discrete Geometry for Computer Imagery","author":"E. Domenjoud","year":"2009","unstructured":"Domenjoud, E., Jamet, D., Toutant, J.L.: On the Connecting Thickness of Arithmetical Discrete Planes. In: Brlek, S., Reutenauer, C., Proven\u00e7al, X. (eds.) DGCI 2009. LNCS, vol.\u00a05810, pp. 362\u2013372. Springer, Heidelberg (2009)"},{"key":"10_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"236","DOI":"10.1007\/11505877_21","volume-title":"Developments in Language Theory","author":"T. Fernique","year":"2005","unstructured":"Fernique, T.: Bidimensional Sturmian Sequences and Substitutions. In: De Felice, C., Restivo, A. (eds.) DLT 2005. LNCS, vol.\u00a03572, pp. 236\u2013247. Springer, Heidelberg (2005)"},{"key":"10_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/11907350_19","volume-title":"Discrete Geometry for Computer Imagery","author":"D. Jamet","year":"2006","unstructured":"Jamet, D., Toutant, J.L.: On the Connectedness of Rational Arithmetic Discrete Hyperplanes. In: Kuba, A., Ny\u00fal, L.G., Pal\u00e1gyi, K. (eds.) DGCI 2006. LNCS, vol.\u00a04245, pp. 223\u2013234. Springer, Heidelberg (2006)"},{"issue":"3","key":"10_CR10","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1016\/j.dam.2008.05.027","volume":"157","author":"D. Jamet","year":"2009","unstructured":"Jamet, D., Toutant, J.L.: Minimal arithmetic thickness connecting discrete planes. Discrete Applied Mathematics\u00a0157(3), 500\u2013509 (2009)","journal-title":"Discrete Applied Mathematics"},{"issue":"3","key":"10_CR11","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1017\/S0143385700005137","volume":"9","author":"R.W.J. Meester","year":"1989","unstructured":"Meester, R.W.J.: An algorithm for calculating critical probabilities and percolation functions in percolation models defined by rotations. Ergodic Theory Dynam. Systems\u00a09(3), 495\u2013509 (1989)","journal-title":"Ergodic Theory Dynam. Systems"},{"issue":"1","key":"10_CR12","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/BF02764969","volume":"68","author":"R.W.J. Meester","year":"1989","unstructured":"Meester, R.W.J., Nowicki, T.: Infinite clusters and critical values in two-dimensional circle percolation. Israel J. Math.\u00a068(1), 63\u201381 (1989)","journal-title":"Israel J. Math."},{"key":"10_CR13","unstructured":"Reveill\u00e8s, J.P.: G\u00e9om\u00e9trie discr\u00e8te, calcul en nombres entiers et algorithmique. Th\u00e8se d\u2019\u00e9tat, Universit\u00e9 Louis Pasteur, Strasbourg (1991)"},{"key":"10_CR14","series-title":"Oxford Science Publications","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198506867.001.0001","volume-title":"Multidimensional continued fractions","author":"F. Schweiger","year":"2000","unstructured":"Schweiger, F.: Multidimensional continued fractions. Oxford Science Publications. Oxford University Press, Oxford (2000)"}],"container-title":["Lecture Notes in Computer Science","Discrete Geometry for Computer Imagery"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-37067-0_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,7]],"date-time":"2024-05-07T15:05:23Z","timestamp":1715094323000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-37067-0_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642370663","9783642370670"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-37067-0_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}