{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T05:28:48Z","timestamp":1761629328379},"publisher-location":"Berlin, Heidelberg","reference-count":24,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540799917"},{"type":"electronic","value":"9783540799924"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-79992-4_29","type":"book-chapter","created":{"date-parts":[[2008,8,22]],"date-time":"2008-08-22T15:04:46Z","timestamp":1219417486000},"page":"228-235","source":"Crossref","is-referenced-by-count":4,"title":["Finite Size Stability Analysis for Stochastic Cellular Automata"],"prefix":"10.1007","author":[{"given":"Yukio","family":"Sakisaka","sequence":"first","affiliation":[]},{"given":"Yukio","family":"Iwamura","sequence":"additional","affiliation":[]},{"given":"Nariyuki","family":"Nakagiri","sequence":"additional","affiliation":[]},{"given":"Jin","family":"Yoshimura","sequence":"additional","affiliation":[]},{"given":"Kei-ichi","family":"Tainaka","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"29_CR1","doi-asserted-by":"crossref","unstructured":"Kawai, T., Tadokoro, Y., Tainaka, K., Hayashi, T., Yoshimura, J.: A lattice model of fashion propagation with correlation analysis. Int. J. Systems Science (in press, 2008)","DOI":"10.1080\/00207720801902663"},{"key":"29_CR2","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/BF01217347","volume":"96","author":"S. Wolfram","year":"1984","unstructured":"Wolfram, S.: Computation theory of cellular automata. Commun. Math. Phys.\u00a096, 15\u201357 (1984)","journal-title":"Commun. Math. Phys."},{"key":"29_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-8542-4","volume-title":"Interacting particle systems","author":"T.M. Liggett","year":"1985","unstructured":"Liggett, T.M.: Interacting particle systems. Springer, Berlin (1985)"},{"key":"29_CR4","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1007\/BF01192067","volume":"91","author":"C. Neuhauser","year":"1992","unstructured":"Neuhauser, C.: Ergodic theorems for the multitype contact process. Probab. Theor. Relat. Field.\u00a091, 467\u2013506 (1992)","journal-title":"Probab. Theor. Relat. Field."},{"key":"29_CR5","doi-asserted-by":"publisher","first-page":"969","DOI":"10.1214\/aop\/1176996493","volume":"2","author":"T.E. Harris","year":"1974","unstructured":"Harris, T.E.: Contact interactions on a lattice. Ann. probab.\u00a02, 969\u2013988 (1974)","journal-title":"Ann. probab."},{"key":"29_CR6","doi-asserted-by":"publisher","first-page":"1158","DOI":"10.1214\/aop\/1176991682","volume":"16","author":"R. Durrett","year":"1988","unstructured":"Durrett, R., Liu, X.-F.: The contact process on a finite set. Ann. Probab.\u00a016, 1158\u20131173 (1988)","journal-title":"Ann. Probab."},{"key":"29_CR7","doi-asserted-by":"publisher","first-page":"1570","DOI":"10.1214\/aop\/1176991584","volume":"16","author":"R. Durrett","year":"1988","unstructured":"Durrett, R., Schonmann, R.H.: The contact process on a finite set II. Ann. Probab.\u00a016, 1570\u20131583 (1988)","journal-title":"Ann. Probab."},{"key":"29_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03990-8","volume-title":"Stochastic interacting systems: contact, voter and exclusion processes","author":"T.M. Liggett","year":"1999","unstructured":"Liggett, T.M.: Stochastic interacting systems: contact, voter and exclusion processes. Springer, Berlin (1999)"},{"key":"29_CR9","doi-asserted-by":"publisher","first-page":"1074","DOI":"10.1239\/jap\/1011994194","volume":"38","author":"A.W. Sudbury","year":"2001","unstructured":"Sudbury, A.W.: Rigorous lower bounds for the critical birth-rate in the diffusive contact process. J. Appl. Probab.\u00a038, 1074\u20131078 (2001)","journal-title":"J. Appl. Probab."},{"key":"29_CR10","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1088\/0305-4470\/26\/4\/005","volume":"26","author":"I. Jensen","year":"1993","unstructured":"Jensen, I., Dickman, R.: Time-dependent perturbation theory for diffusive non-equilibrium lattice models. J. Phys. A: Math. Gen.\u00a026, L151\u2013L157 (1993)","journal-title":"J. Phys. A: Math. Gen."},{"key":"29_CR11","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1007\/BF01026595","volume":"63","author":"M. Katori","year":"1991","unstructured":"Katori, M., Konno, N.: Upper bounds for survival probability of the contact process. J. Stat. Phys.\u00a063, 115\u2013130 (1991)","journal-title":"J. Stat. Phys."},{"key":"29_CR12","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511524288","volume-title":"Nonequilibrium phase transitions in lattice models","author":"J. Marro","year":"1999","unstructured":"Marro, J., Dickman, R.: Nonequilibrium phase transitions in lattice models. Cambridge University Press, Cambridge (1999)"},{"key":"29_CR13","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1006\/jtbi.1996.0099","volume":"180","author":"T. Kubo","year":"1996","unstructured":"Kubo, T., Iwasa, Y., Furumoto, N.: Forest spatial dynamics with gap expansions: total gap area and gap size distribution. J. Theor. Biol.\u00a0180, 229\u2013246 (1996)","journal-title":"J. Theor. Biol."},{"key":"29_CR14","first-page":"629","volume":"8","author":"J. Yoshimura","year":"2006","unstructured":"Yoshimura, J., Tainaka, K., Suzuki, T., Sakisaka, Y., Nakagiri, N., Togashi, T., Miyazaki, T.: The role of rare species in the community stability of a model ecosystem. Evol. Ecol. Res.\u00a08, 629\u2013642 (2006)","journal-title":"Evol. Ecol. Res."},{"key":"29_CR15","doi-asserted-by":"crossref","first-page":"1303","DOI":"10.1214\/aop\/1176991156","volume":"17","author":"R. Durrett","year":"1989","unstructured":"Durrett, R., Schonmann, R.H., Tanaka, N.: The contact process on a finite set III. The critical case. Ann. Probab.\u00a017, 1303\u20131321 (1989)","journal-title":"The critical case. Ann. Probab."},{"key":"29_CR16","doi-asserted-by":"publisher","first-page":"697","DOI":"10.1214\/aop\/1176988285","volume":"23","author":"T.M. Liggett","year":"1995","unstructured":"Liggett, T.M.: Improved upper bounds for the contact process critical value. Ann. Probab.\u00a023, 697\u2013723 (1995)","journal-title":"Ann. Probab."},{"key":"29_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1143\/JPSJ.76.023101","volume":"76","author":"Y. Sakisaka","year":"2007","unstructured":"Sakisaka, Y., Tainaka, K., Sugimine, N., Yoshimura, J., Hayashi, T., Aihara, K., Togashi, T., Miyazaki, T.: Power law for extinction process in multiple contact process. J. Phys. Soc. Jpn.\u00a076, 023101\u20131\u20134 (2007)","journal-title":"J. Phys. Soc. Jpn."},{"key":"29_CR18","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s10144-006-0256-1","volume":"48","author":"T. Miyazaki","year":"2006","unstructured":"Miyazaki, T., Tainaka, K., Togashi, T., Suzuki, T., Yoshimura, J.: Spatial coexistence of phytoplankton species in ecological timescale. Popul. Ecol.\u00a048, 107\u2013112 (2006)","journal-title":"Popul. Ecol."},{"key":"29_CR19","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1086\/282171","volume":"95","author":"G.E. Hutchinson","year":"1961","unstructured":"Hutchinson, G.E.: The Paradox of the Plankton. Am. Nat.\u00a095, 137\u2013145 (1961)","journal-title":"Am. Nat."},{"key":"29_CR20","doi-asserted-by":"publisher","first-page":"2588","DOI":"10.1143\/JPSJ.57.2588","volume":"57","author":"K. Tainaka","year":"1988","unstructured":"Tainaka, K.: Lattice model for the Lotka-Volterra system. J. Phys. Soc. Jpn.\u00a057, 2588\u20132590 (1988)","journal-title":"J. Phys. Soc. Jpn."},{"key":"29_CR21","unstructured":"R Development Core Team: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria (2005)"},{"key":"29_CR22","doi-asserted-by":"publisher","first-page":"2275","DOI":"10.1143\/JPSJ.62.2275","volume":"62","author":"S. Kanno","year":"1993","unstructured":"Kanno, S., Tainaka, K.: Power-Law spectra in diffusion-limited reaction A+B\u21920 with source. J. Phys. Soc. Jpn.\u00a062, 2275\u20132278 (1993)","journal-title":"J. Phys. Soc. Jpn."},{"key":"29_CR23","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1016\/j.physd.2006.07.030","volume":"222","author":"G. Lythe","year":"2006","unstructured":"Lythe, G.: Diffusion-limited reaction in one dimension. Physica D\u00a0222, 159\u2013163 (2006)","journal-title":"Physica D"},{"key":"29_CR24","doi-asserted-by":"publisher","first-page":"2642","DOI":"10.1063\/1.445022","volume":"78","author":"D. Toussaint","year":"1983","unstructured":"Toussaint, D., Wilczek, F.: Particle-antiparticle annihilation in diffusive motion. J. Chem. Phys.\u00a078, 2642\u20132647 (1983)","journal-title":"J. Chem. Phys."}],"container-title":["Lecture Notes in Computer Science","Cellular Automata"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-79992-4_29.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T11:36:06Z","timestamp":1619523366000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-79992-4_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540799917","9783540799924"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-79992-4_29","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}