{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T23:32:39Z","timestamp":1777505559078,"version":"3.51.4"},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319250397","type":"print"},{"value":"9783319250403","type":"electronic"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-25040-3_30","type":"book-chapter","created":{"date-parts":[[2015,10,24]],"date-time":"2015-10-24T17:45:20Z","timestamp":1445708720000},"page":"271-276","source":"Crossref","is-referenced-by-count":2,"title":["Information Algebras and Their Applications"],"prefix":"10.1007","author":[{"given":"Matilde","family":"Marcolli","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,4,3]]},"reference":[{"key":"30_CR1","series-title":"Lecture Notes in Physics","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-40919-X","volume-title":"Nonextensive Statistical Mechanics and Its Applications","author":"S Abe","year":"2001","unstructured":"Abe, S., Okamoto, Y.: Nonextensive Statistical Mechanics and Its Applications. Lecture Notes in Physics, vol. 560, 1st edn. Springer, Heidelberg (2001)","edition":"1"},{"key":"30_CR2","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1016\/j.geomphys.2012.09.003","volume":"63","author":"P Aluffi","year":"2013","unstructured":"Aluffi, P., Marcolli, M.: A motivic approach to phase transitions in Potts models. J. Geom. Phys. 63, 6\u201331 (2013)","journal-title":"J. Geom. Phys."},{"key":"30_CR3","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511524585","volume-title":"Thermodynamics of Chaotic Systems: An Introduction","author":"C Beck","year":"1993","unstructured":"Beck, C., Schl\u00f6gl, F.: Thermodynamics of Chaotic Systems: An Introduction. Cambridge University Press, Cambridge (1993)"},{"key":"30_CR4","unstructured":"Bintz, M., Marcolli, M.: Thermodynamic tropicalization of Feynman graph and Potts model hypersurfaces (in preparation)"},{"key":"30_CR5","volume-title":"From Monoids to Hyperstructures: in Search of an Absolute Arithmetic, \u201cCasimir Force, Casimir Operators and the Riemann Hypothesis\u201d.","author":"A Connes","year":"2010","unstructured":"Connes, A., Consani, C.: From Monoids to Hyperstructures: in Search of an Absolute Arithmetic, \u201cCasimir Force, Casimir Operators and the Riemann Hypothesis\u201d. Walter de Gruyter, Berlin (2010). pp. 147\u2013198"},{"issue":"1","key":"30_CR6","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1007\/s002200050779","volume":"210","author":"A Connes","year":"2000","unstructured":"Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann-Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem. Commun. Math. Phys. 210(1), 249\u2013273 (2000)","journal-title":"Commun. Math. Phys."},{"key":"30_CR7","doi-asserted-by":"crossref","unstructured":"Connes, A., Marcolli, M.: Noncommutative Geometry, Quantum Fields and Motives, vol. 55, p. 785, Colloquium Publications, American Mathematical Society (2008)","DOI":"10.1090\/coll\/055"},{"key":"30_CR8","first-page":"47","volume":"50","author":"K Ebrahimi-Fard","year":"2007","unstructured":"Ebrahimi-Fard, K., Guo, L.: Rota-Baxter algebras in renormalization of perturbative quantum field theory in \u201cuniversality and renormalization\". Fields Inst. Commun. 50, 47\u2013105 (2007). American Mathematical Society","journal-title":"Fields Inst. Commun."},{"issue":"2","key":"30_CR9","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1007\/s00023-005-0211-2","volume":"6","author":"K Ebrahimi-Fard","year":"2005","unstructured":"Ebrahimi-Fard, K., Guo, L., Kreimer, D.: Integrable renormalization II the general case. Ann. Henri Poincar\u00e9 6(2), 369\u2013395 (2005)","journal-title":"Ann. Henri Poincar\u00e9"},{"key":"30_CR10","volume-title":"Nonextensive Entropy","year":"2004","unstructured":"Gell-Mann, M., Tsallis, C. (eds.): Nonextensive Entropy. Oxford University Press, New York (2004)"},{"issue":"1","key":"30_CR11","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s00591-011-0097-7","volume":"59","author":"I Itenberg","year":"2012","unstructured":"Itenberg, I., Mikhalkin, G.: Geometry in tropical limit. Math. Semesterber. 59(1), 57\u201373 (2012)","journal-title":"Math. Semesterber."},{"key":"30_CR12","volume-title":"Tropical algebraic geometry, Oberwolfach Seminars","author":"I Itenberg","year":"2007","unstructured":"Itenberg, I., Mikhalkin, G., Shustin, E.: Tropical algebraic geometry, Oberwolfach Seminars, vol. 35. Birkh\u00e4user Verlag, Basel (2007)"},{"key":"30_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69959-7","volume-title":"Semirings, Automata, Languages","author":"W Kuich","year":"1986","unstructured":"Kuich, W., Salomaa, A.: Semirings, Automata, Languages. Springer, Heidelberg (1986)"},{"key":"30_CR14","first-page":"181","volume":"26","author":"YI Manin","year":"2013","unstructured":"Manin, Y.I.: Renormalization and computation, I: motivation and background, in \u201cOPERADS 2009\". S\u00e9min Congr. Soc. Math. France 26, 181\u2013222 (2013)","journal-title":"S\u00e9min Congr. Soc. Math. France"},{"issue":"5","key":"30_CR15","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1017\/S0960129511000508","volume":"22","author":"YI Manin","year":"2012","unstructured":"Manin, Y.I.: Renormalization and computation II: time cut-off and the halting problem. Math. Struct. Comput. Sci. 22(5), 729\u2013751 (2012)","journal-title":"Math. Struct. Comput. Sci."},{"key":"30_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/978-3-642-13962-8_34","volume-title":"Programs, Proofs, Processes","author":"YI Manin","year":"2010","unstructured":"Manin, Y.I.: Infinities in quantum field theory and in classical computing: renormalization program. In: Ferreira, F., L\u00f6we, B., Mayordomo, E., Mendes Gomes, L. (eds.) CiE 2010. LNCS, vol. 6158, pp. 307\u2013316. Springer, Heidelberg (2010)"},{"key":"30_CR17","volume-title":"Feynman Motives","author":"M Marcolli","year":"2010","unstructured":"Marcolli, M.: Feynman Motives. World Scientific, Singapore (2010)"},{"key":"30_CR18","unstructured":"Marcolli, M.: Thermodynamics Semirings in Computational Linguistics (in preparation)"},{"key":"30_CR19","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1016\/j.geomphys.2015.07.018","volume":"97","author":"M Marcolli","year":"2015","unstructured":"Marcolli, M., Tedeschi, N.: Entropy algebras and Birkhoff factorization. J. Geom. Phys. 97, 243\u2013265 (2015)","journal-title":"J. Geom. Phys."},{"issue":"2","key":"30_CR20","doi-asserted-by":"publisher","first-page":"337","DOI":"10.4171\/JNCG\/159","volume":"8","author":"M Marcolli","year":"2014","unstructured":"Marcolli, M., Thorngren, R.: Thermodynamic semirings. J. Noncommut. Geom. 8(2), 337\u2013392 (2014)","journal-title":"J. Noncommut. Geom."},{"issue":"46","key":"30_CR21","doi-asserted-by":"publisher","first-page":"16132","DOI":"10.1073\/pnas.0406010101","volume":"101","author":"L Pachter","year":"2004","unstructured":"Pachter, L., Sturmfels, B.: Tropical geometry of statistical models. Proc. Nat. Ac. Sci. USA 101(46), 16132\u201316137 (2004)","journal-title":"Proc. Nat. Ac. Sci. USA"},{"key":"30_CR22","unstructured":"Quadrat, J.P., Max-Plus Working Group: Min-Plus linearity and statistical mechanics. Markov Process. Relat. Fields 3(4), 565\u2013597 (1997)"},{"key":"30_CR23","volume-title":"Computational Approaches to Morphology and Syntax","author":"B Roark","year":"2007","unstructured":"Roark, B., Sproat, R.: Computational Approaches to Morphology and Syntax. Oxford University Press, Oxford (2007)"},{"key":"30_CR24","doi-asserted-by":"crossref","unstructured":"Viro, O.: Dequantization of real algebraic geometry on logarithmic paper. In: European Congress of Mathematics, Vol. I (Barcelona, 2000), Progr. Math., 201, pp. 135\u2013146. Birkh\u00e4user (2001)","DOI":"10.1007\/978-3-0348-8268-2_8"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-25040-3_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T04:55:01Z","timestamp":1559278501000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-25040-3_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319250397","9783319250403"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-25040-3_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}