{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:03:47Z","timestamp":1772287427074,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642308697","type":"print"},{"value":"9783642308703","type":"electronic"}],"license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-30870-3_26","type":"book-chapter","created":{"date-parts":[[2012,5,28]],"date-time":"2012-05-28T02:56:12Z","timestamp":1338173772000},"page":"253-263","source":"Crossref","is-referenced-by-count":6,"title":["Densities and Entropies in Cellular Automata"],"prefix":"10.1007","author":[{"given":"Pierre","family":"Guillon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charalampos","family":"Zinoviadis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"2","key":"26_CR1","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1017\/S0143385700006738","volume":"12","author":"K. \u010culik II","year":"1992","unstructured":"\u010culik II, K., Hurd, L.P., Kari, J.: The topological entropy of cellular automata is uncomputable. Ergodic Theory & Dynamical Systems\u00a012(2), 255\u2013265 (1992)","journal-title":"Ergodic Theory & Dynamical Systems"},{"key":"26_CR2","unstructured":"Durand, B., Romashchenko, A., Shen, A.: Fixed-point tile sets and their applications (September 2010), draft"},{"issue":"1-2","key":"26_CR3","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1023\/A:1004823720305","volume":"102","author":"P. G\u00e1cs","year":"2001","unstructured":"G\u00e1cs, P.: Reliable cellular automata with self-organization. Journal of Statistical Physics\u00a0102(1-2), 45\u2013267 (2001), \n                    http:\/\/www.cs.bu.edu\/fac\/gacs\/recent-publ.html","journal-title":"Journal of Statistical Physics"},{"key":"26_CR4","doi-asserted-by":"crossref","unstructured":"Guillon, P., Zinoviadis, C.: Densities and entropies in cellular automata (2012), arXiv:1204.0949","DOI":"10.1007\/978-3-642-30870-3_26"},{"issue":"1","key":"26_CR5","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s00222-008-0161-7","volume":"176","author":"M. Hochman","year":"2009","unstructured":"Hochman, M.: On the dynamics and recursive properties of multidimensional symbolic systems. Inventiones Mathematic\u00e6\u00a0176(1), 131\u2013167 (2009), \n                    http:\/\/www.springerlink.com\/content\/h66428l759545081","journal-title":"Inventiones Mathematic\u00e6"},{"issue":"1","key":"26_CR6","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1017\/S0143385709001084","volume":"31","author":"M. Hochman","year":"2011","unstructured":"Hochman, M.: Expansive directions for $\\mathbb{z}$ actions. Ergodic Theory & Dynamical Systems\u00a031(1), 91\u2013112 (2011)","journal-title":"Ergodic Theory & Dynamical Systems"},{"issue":"3","key":"26_CR7","doi-asserted-by":"publisher","first-page":"2011","DOI":"10.4007\/annals.2010.171.2011","volume":"171","author":"M. Hochman","year":"2010","unstructured":"Hochman, M., Meyerovitch, T.: A characterization of the entropies of multidimensional shifts of finite type. Annals of Mathematics\u00a0171(3), 2011\u20132038 (2010), \n                    http:\/\/pjm.math.berkeley.edu\/annals\/ta\/080814-Hochman\/080814-Hochman-v1.pdf","journal-title":"Annals of Mathematics"},{"issue":"3","key":"26_CR8","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1137\/0221036","volume":"21","author":"J. Kari","year":"1992","unstructured":"Kari, J.: The nilpotency problem of one-dimensional cellular automata. SIAM Journal on Computing\u00a021(3), 571\u2013586 (1992)","journal-title":"SIAM Journal on Computing"},{"issue":"3","key":"26_CR9","first-page":"357","volume":"2","author":"J. Milnor","year":"1988","unstructured":"Milnor, J.: On the entropy geometry of cellular automata. Complex Systems\u00a02(3), 357\u2013385 (1988)","journal-title":"Complex Systems"},{"key":"26_CR10","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/BF02793412","volume":"53","author":"S. Mozes","year":"1988","unstructured":"Mozes, S.: Tilings, substitution systems and dynamical systems generated by them. Journal d\u2019analyse math\u00e9matique\u00a053, 139\u2013186 (1988)","journal-title":"Journal d\u2019analyse math\u00e9matique"},{"issue":"1","key":"26_CR11","doi-asserted-by":"crossref","first-page":"227","DOI":"10.2140\/pjm.1996.172.227","volume":"172","author":"K.K. Park","year":"1996","unstructured":"Park, K.K.: Entropy of a skew product with a $\\mathbb{z}^2$ -action. Pacific Journal of Mathematics\u00a0172(1), 227\u2013241 (1996), \n                    http:\/\/projecteuclid.org\/euclid.pjm\/1102366193","journal-title":"Pacific Journal of Mathematics"},{"key":"26_CR12","doi-asserted-by":"crossref","unstructured":"Robinson, R.M.: Undecidability and nonperiodicity for tilings of the plane. Inventiones Mathematic\u00e6\u00a012(3) (1971)","DOI":"10.1007\/BF01418780"},{"key":"26_CR13","doi-asserted-by":"crossref","first-page":"83","DOI":"10.46298\/dmtcs.365","volume":"8","author":"J.G. Simonsen","year":"2006","unstructured":"Simonsen, J.G.: On the computability of the topological entropy of subshifts. Discrete Mathematics & Theoretical Computer Science\u00a08, 83\u201396 (2006), \n                    www.dmtcs.org\/dmtcs-ojs\/index.php\/dmtcs\/article\/download\/456\/1602","journal-title":"Discrete Mathematics & Theoretical Computer Science"},{"key":"26_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1007\/3-540-48340-3_3","volume-title":"Mathematical Foundations of Computer Science 1999","author":"X. Zheng","year":"1999","unstructured":"Zheng, X., Weihrauch, K.: The Arithmetical Hierarchy of Real Numbers. In: Kuty\u0142owski, M., Wierzbicki, T., Pacholski, L. (eds.) MFCS 1999. LNCS, vol.\u00a01672, pp. 23\u201333. Springer, Heidelberg (1999)"}],"container-title":["Lecture Notes in Computer Science","How the World Computes"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-30870-3_26","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,16]],"date-time":"2023-02-16T19:23:29Z","timestamp":1676575409000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-30870-3_26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642308697","9783642308703"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-30870-3_26","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}