{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T15:53:46Z","timestamp":1774886026628,"version":"3.50.1"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,6,20]],"date-time":"2015-06-20T00:00:00Z","timestamp":1434758400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Scientometrics"],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1007\/s11192-015-1602-x","type":"journal-article","created":{"date-parts":[[2015,6,19]],"date-time":"2015-06-19T10:08:40Z","timestamp":1434708520000},"page":"715-735","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Independent simultaneous discoveries visualized through network analysis: the case of linear canonical transforms"],"prefix":"10.1007","volume":"104","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9436-0784","authenticated-orcid":false,"given":"Sofia","family":"Liberman","sequence":"first","affiliation":[]},{"given":"Kurt Bernardo","family":"Wolf","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,6,20]]},"reference":[{"key":"1602_CR1","first-page":"27","volume-title":"Analytical methods in mathematical physics","author":"V Bargmann","year":"1970","unstructured":"Bargmann, V. (1970). Group representations in Hilbert spaces of analytic functions. In P. Gilbert & R. G. Newton (Eds.), Analytical methods in mathematical physics (pp. 27\u201363). New York: Gordon and Breach."},{"key":"1602_CR2","doi-asserted-by":"crossref","unstructured":"Bastian, M., Heymann, S. & Jacomy, M. (2009). Gephi: an open source software for exploring and manipulating networks. In International AAAI conference on weblogs and social media. Association for the Advancement of Artificial Intelligence.","DOI":"10.1609\/icwsm.v3i1.13937"},{"key":"1602_CR3","doi-asserted-by":"crossref","first-page":"16","DOI":"10.17730\/humo.7.3.f4033344851gl053","volume":"7","author":"A Bavelas","year":"1948","unstructured":"Bavelas, A. (1948). A mathematical model for group structures. Human Organization, 7, 16\u201330.","journal-title":"Human Organization"},{"key":"1602_CR4","volume-title":"Group dynamics: Research and theory","author":"A Bavelas","year":"1968","unstructured":"Bavelas, A. (1968). Communication patterns in task-oriented groups. In D. Cartwright & A. F. Zander (Eds.), Group dynamics: Research and theory. New York: Harper & Row."},{"key":"1602_CR5","doi-asserted-by":"crossref","unstructured":"Blondel, V. D., Guillaume J., Lambiotte R., & Lefebvre E. (2008). Fast unfolding of communities in large networks. Journal of Statistical Mechanics: Theory and Experiment, 10, 1\u201312.","DOI":"10.1088\/1742-5468\/2008\/10\/P10008"},{"key":"1602_CR6","doi-asserted-by":"crossref","first-page":"135","DOI":"10.2307\/3340123","volume":"8","author":"A Brannigan","year":"1983","unstructured":"Brannigan, A., & Wanner, R. A. (1983). Multiple discoveries in science: A test of the communication theory. Canadian Journal of Sociology, 8, 135\u2013151.","journal-title":"Canadian Journal of Sociology"},{"key":"1602_CR7","volume-title":"Matrix methods in optical instrument design","author":"W Brouwer","year":"1964","unstructured":"Brouwer, W. (1964). Matrix methods in optical instrument design. New York: Benjamin."},{"key":"1602_CR8","doi-asserted-by":"crossref","first-page":"1168","DOI":"10.1364\/JOSA.60.001168","volume":"60","author":"SA Collins","year":"1970","unstructured":"Collins, S. A. (1970). Lens-system diffraction integral written in terms of matrix optics. Journal of Optical Society of America, 60, 1168\u20131177.","journal-title":"Journal of Optical Society of America"},{"issue":"3","key":"1602_CR9","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0378-8733(78)90021-7","volume":"1","author":"LC Freeman","year":"1978","unstructured":"Freeman, L. C. (1978). Centrality in social networks conceptual clarification. Social Networks, 1(3), 215\u2013239.","journal-title":"Social Networks"},{"key":"1602_CR10","volume-title":"The development of social network analysis: A study in the sociology of science","author":"LC Freeman","year":"2004","unstructured":"Freeman, L. C. (2004). The development of social network analysis: A study in the sociology of science. Vancouver, BC: Empirical Press."},{"key":"1602_CR11","doi-asserted-by":"crossref","DOI":"10.5962\/bhl.title.29770","volume-title":"English men of science: Their nature and nurture","author":"F Galton","year":"1874","unstructured":"Galton, F. (1874). English men of science: Their nature and nurture. London: Macmillan & Co."},{"key":"1602_CR12","volume-title":"Introduction to matrix methods in optics","author":"A Gerrard","year":"1975","unstructured":"Gerrard, A., & Burch, B. (1975). Introduction to matrix methods in optics. New York: Wiley."},{"key":"1602_CR13","doi-asserted-by":"crossref","unstructured":"Hagstrom, W. O. (1974). Competition in science. American Sociological Review, 39(1), 1\u201318.","DOI":"10.2307\/2094272"},{"key":"1602_CR14","volume-title":"The human group","author":"GC Homans","year":"1950","unstructured":"Homans, G. C. (1950). The human group. New York: Harcourt, Brace & Co."},{"issue":"1","key":"1602_CR15","first-page":"37","volume":"10","author":"Y Hu","year":"2006","unstructured":"Hu, Y. (2006). Efficient, high-quality force-directed graph drawing. Mathematica Journal, 10(1), 37\u201371.","journal-title":"Mathematica Journal"},{"key":"1602_CR16","first-page":"41","volume":"14","author":"L Infeld","year":"1955","unstructured":"Infeld, L., & Pleba\u00f1ski, J. (1955). On a certain class of unitary transformations. Acta Physica Polononica, 14, 41\u201375.","journal-title":"Acta Physica Polononica"},{"key":"1602_CR17","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1063\/1.1664941","volume":"10","author":"C Itzykson","year":"1969","unstructured":"Itzykson, C. (1969). Group representation in a continuous basis: An example. Journal of Mathematical Physics, 10, 1109\u20131114.","journal-title":"Journal of Mathematical Physics"},{"key":"1602_CR18","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1371\/journal.pone.0098679","volume":"9","author":"M Jacomy","year":"2014","unstructured":"Jacomy, M., Venturini, T., Heymann, S., & Bastian, M. (2014). ForceAtlas2, a continuous graph layout algorithm for handy network visualization designed for the Gephi software. PLoS ONE, 9, 6.","journal-title":"PLoS ONE"},{"key":"1602_CR19","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1525\/aa.1917.19.2.02a00010","volume":"19","author":"AL Kroeber","year":"1917","unstructured":"Kroeber, A. L. (1917). The superorganic. American Anthropologist, 19, 163\u2013213.","journal-title":"American Anthropologist"},{"key":"1602_CR20","volume-title":"Handbook of the psychology of science","author":"S Liberman","year":"2013","unstructured":"Liberman, S., & Wolf, K. B. (2013). Scientific communication in the process to coauthorship. In G. J. Feist & M. Gorman (Eds.), Handbook of the psychology of science. Berlin: Springer."},{"issue":"5","key":"1602_CR21","first-page":"470","volume":"105","author":"RK Merton","year":"1961","unstructured":"Merton, R. K. (1961). Singletons and multiples in scientific discovery. Proceedings of the American Philosophical Society, 105(5), 470\u2013486.","journal-title":"Proceedings of the American Philosophical Society"},{"key":"1602_CR22","volume-title":"The sociology of science: Theoretical and empirical investigations","author":"RK Merton","year":"1973","unstructured":"Merton, R. K. (1973). The sociology of science: Theoretical and empirical investigations. Chicago: University of Chicago Press."},{"key":"1602_CR23","volume-title":"Who shall survive?","author":"JL Moreno","year":"1953","unstructured":"Moreno, J. L. (1953). Who shall survive?. New York: Beacon House."},{"issue":"8","key":"1602_CR24","doi-asserted-by":"crossref","first-page":"1772","DOI":"10.1063\/1.1665805","volume":"12","author":"M Moshinsky","year":"1971","unstructured":"Moshinsky, M., & Quesne, C. (1971). Linear canonical transformations and their unitary representations. Journal of Mathematical Physics. (N. Y.), 12(8), 1772\u20131780.","journal-title":"Journal of Mathematical Physics. (N. Y.)"},{"key":"1602_CR25","unstructured":"Moshinsky, M. & Quesne, C. (1974) Oscillator systems. In Proceedings of the 15th solvay conference in physics. Gordon and Breach, New York."},{"key":"1602_CR41","doi-asserted-by":"crossref","unstructured":"Newman, M. E. J. (2006). Modularity and community structure in networks. Proceedings of the National Academy of Sciences, 103(23), 8577\u20138582. doi: 10.1073\/pnas.0601602103 .","DOI":"10.1073\/pnas.0601602103"},{"key":"1602_CR26","doi-asserted-by":"crossref","first-page":"83","DOI":"10.2307\/2142320","volume":"37","author":"WF Ogburn","year":"1922","unstructured":"Ogburn, W. F., & Thomas, D. (1922). Are inventions inevitable? A note on social evolution. Political Science Quarterly, 37, 83\u201398.","journal-title":"Political Science Quarterly"},{"issue":"8","key":"1602_CR27","doi-asserted-by":"crossref","first-page":"1780","DOI":"10.1063\/1.1665806","volume":"12","author":"C Quesne","year":"1971","unstructured":"Quesne, C., & Moshinsky, M. (1971). Linear canonical transformations and matrix elements. Journal of Mathematical Physics. (N. Y.), 12(8), 1780\u20131783.","journal-title":"Journal of Mathematical Physics. (N. Y.)"},{"key":"1602_CR29","unstructured":"Sci2 Team. (2009). Science of Science (Sci2) Tool: Indiana University and SciTech Strategies, Inc. http:\/\/sci2.cns.iu.edu"},{"key":"1602_CR30","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1177\/030631277800800405","volume":"8","author":"DK Simonton","year":"1978","unstructured":"Simonton, D. K. (1978). Independent discovery in science and technology: A closer look at the Poisson distribution. Social Studies of Science, 8, 521\u2013532.","journal-title":"Social Studies of Science"},{"key":"1602_CR31","doi-asserted-by":"crossref","first-page":"1603","DOI":"10.1037\/0022-3514.37.9.1603","volume":"37","author":"DK Simonton","year":"1979","unstructured":"Simonton, D. K. (1979). Multiple discovery and invention: Zeitgeist, genius, or chance? Journal of Personality and Social Psychology, 37, 1603.","journal-title":"Journal of Personality and Social Psychology"},{"key":"1602_CR39","doi-asserted-by":"crossref","unstructured":"Simonton, D. K. (1986). Multiple discovery: Some Monte Carlo simulations and Gedanken experiments. Scientometrics, 9, 269\u2013280.","DOI":"10.1007\/BF02017248"},{"issue":"2","key":"1602_CR32","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/j.plrev.2010.05.004","volume":"7","author":"DK Simonton","year":"2010","unstructured":"Simonton, D. K. (2010). Creative thought as blind-variation and selective-retention: Combinatorial models of exceptional creativity. Physics of Life Reviews, 7(2), 190\u2013194.","journal-title":"Physics of Life Reviews"},{"issue":"3","key":"1602_CR33","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1177\/030631277800800305","volume":"8","author":"HG Small","year":"1978","unstructured":"Small, H. G. (1978). Cited documents as concept symbols. Social Studies of Science, 8(3), 327\u2013340.","journal-title":"Social Studies of Science"},{"key":"1602_CR34","volume-title":"The optics of rays, wavefronts, and caustics","author":"O Stavroudis","year":"1972","unstructured":"Stavroudis, O. (1972). The optics of rays, wavefronts, and caustics. New York: Academic Press."},{"issue":"4","key":"1602_CR28","doi-asserted-by":"crossref","first-page":"425","DOI":"10.2307\/2786545","volume":"32","author":"J Travers","year":"1969","unstructured":"Travers, J., & Milgram, S. (1969). An experimental study of the small world problem. Sociometry, 32(4), 425\u2013443.","journal-title":"Sociometry"},{"key":"1602_CR35","unstructured":"Weingart, S., Hanning, G., B\u00f6rner, K., Boyac, K. W., Linnemeier, M., Duhon, R. J., Phillips, P. A., et al. (2010) Science of Science (Sci2) Tool User Manual. http:\/\/sci.slis.indiana.edu\/registration\/docs\/Sci2_Tutorial.pdf . Accessed 16 July 2013."},{"key":"1602_CR36","doi-asserted-by":"crossref","unstructured":"Wolf, K. B. (1979). Integral transforms in science and engineering. New York: Plenum Publ. Corp. http:\/\/www.fis.unam.mx\/~bwolf\/","DOI":"10.1007\/978-1-4757-0872-1"},{"key":"1602_CR37","volume-title":"Geometric optics on phase space","author":"KB Wolf","year":"2004","unstructured":"Wolf, K. B. (2004). Geometric optics on phase space. Heidelberg: Springer."},{"key":"1602_CR38","volume-title":"Linear canonical transforms: theory and applications","author":"KB Wolf","year":"2015","unstructured":"Wolf, K. B. (2015). Developments of linear canonical transforms\u2014a historical sketch. In M. Alper Kutay, J. J. Healy, H. M. Ozaktas, & J. T. Sheridan (Eds.), Linear canonical transforms: theory and applications. Heidelberg: Springer."}],"container-title":["Scientometrics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11192-015-1602-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11192-015-1602-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11192-015-1602-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T16:24:54Z","timestamp":1691771094000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11192-015-1602-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,20]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["1602"],"URL":"https:\/\/doi.org\/10.1007\/s11192-015-1602-x","relation":{},"ISSN":["0138-9130","1588-2861"],"issn-type":[{"value":"0138-9130","type":"print"},{"value":"1588-2861","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,20]]}}}