{"abstract":[{"text":"We introduce a one-parametric family of tree growth models, in which branching probabilities decrease with branch age τ as τ-α. Depending on the exponent α, the scaling of tree depth with tree size n displays a transition between the logarithmic scaling of random trees and an algebraic growth. At the transition (α=1) tree depth grows as (logn)2. This anomalous scaling is in good agreement with the trend observed in evolution of biological species, thus providing a theoretical support for age-dependent speciation and associating it to the occurrence of a critical point.\r\n","lang":"eng"}],"day":"02","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1012.3298"}],"type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"American Institute of Physics","intvolume":"        91","oa":1,"title":"Anomalous scaling in an age-dependent branching model","quality_controlled":"1","publist_id":"5213","article_type":"original","article_processing_charge":"No","doi":"10.1103/PhysRevE.91.022803","citation":{"ama":"Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. Anomalous scaling in an age-dependent branching model. <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. 2015;91(2). doi:<a href=\"https://doi.org/10.1103/PhysRevE.91.022803\">10.1103/PhysRevE.91.022803</a>","ieee":"S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, and K. Klemm, “Anomalous scaling in an age-dependent branching model,” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 91, no. 2. American Institute of Physics, 2015.","chicago":"Keller-Schmidt, Stephanie, Murat Tugrul, Víctor Eguíluz, Emilio Hernandez Garcia, and Konstantin Klemm. “Anomalous Scaling in an Age-Dependent Branching Model.” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. American Institute of Physics, 2015. <a href=\"https://doi.org/10.1103/PhysRevE.91.022803\">https://doi.org/10.1103/PhysRevE.91.022803</a>.","short":"S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, K. Klemm, Physical Review E Statistical Nonlinear and Soft Matter Physics 91 (2015).","ista":"Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. 2015. Anomalous scaling in an age-dependent branching model. Physical Review E Statistical Nonlinear and Soft Matter Physics. 91(2), 022803.","mla":"Keller-Schmidt, Stephanie, et al. “Anomalous Scaling in an Age-Dependent Branching Model.” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 91, no. 2, 022803, American Institute of Physics, 2015, doi:<a href=\"https://doi.org/10.1103/PhysRevE.91.022803\">10.1103/PhysRevE.91.022803</a>.","apa":"Keller-Schmidt, S., Tugrul, M., Eguíluz, V., Hernandez Garcia, E., &#38; Klemm, K. (2015). Anomalous scaling in an age-dependent branching model. <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1103/PhysRevE.91.022803\">https://doi.org/10.1103/PhysRevE.91.022803</a>"},"external_id":{"arxiv":["1012.3298"]},"date_published":"2015-02-02T00:00:00Z","status":"public","_id":"1883","department":[{"_id":"NiBa"}],"author":[{"first_name":"Stephanie","full_name":"Keller-Schmidt, Stephanie","last_name":"Keller-Schmidt"},{"orcid":"0000-0002-8523-0758","id":"37C323C6-F248-11E8-B48F-1D18A9856A87","last_name":"Tugrul","full_name":"Tugrul, Murat","first_name":"Murat"},{"last_name":"Eguíluz","full_name":"Eguíluz, Víctor","first_name":"Víctor"},{"first_name":"Emilio","last_name":"Hernandez Garcia","full_name":"Hernandez Garcia, Emilio"},{"full_name":"Klemm, Konstantin","last_name":"Klemm","first_name":"Konstantin"}],"publication":"Physical Review E Statistical Nonlinear and Soft Matter Physics","date_created":"2018-12-11T11:54:31Z","date_updated":"2021-01-12T06:53:49Z","language":[{"iso":"eng"}],"issue":"2","volume":91,"year":"2015","oa_version":"Preprint","article_number":"022803","scopus_import":1,"month":"02","publication_status":"published"}