--- _id: '1883' abstract: - lang: eng 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" article_number: '022803' article_processing_charge: No article_type: original author: - first_name: Stephanie full_name: Keller-Schmidt, Stephanie last_name: Keller-Schmidt - first_name: Murat full_name: Tugrul, Murat id: 37C323C6-F248-11E8-B48F-1D18A9856A87 last_name: Tugrul orcid: 0000-0002-8523-0758 - first_name: Víctor full_name: Eguíluz, Víctor last_name: Eguíluz - first_name: Emilio full_name: Hernandez Garcia, Emilio last_name: Hernandez Garcia - first_name: Konstantin full_name: Klemm, Konstantin last_name: Klemm citation: ama: Keller-Schmidt S, Tugrul M, Eguíluz V, Hernandez Garcia E, Klemm K. Anomalous scaling in an age-dependent branching model. Physical Review E Statistical Nonlinear and Soft Matter Physics. 2015;91(2). doi:10.1103/PhysRevE.91.022803 apa: 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. American Institute of Physics. https://doi.org/10.1103/PhysRevE.91.022803 chicago: Keller-Schmidt, Stephanie, Murat Tugrul, Víctor Eguíluz, Emilio Hernandez Garcia, and Konstantin Klemm. “Anomalous Scaling in an Age-Dependent Branching Model.” Physical Review E Statistical Nonlinear and Soft Matter Physics. American Institute of Physics, 2015. https://doi.org/10.1103/PhysRevE.91.022803. ieee: S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, and K. Klemm, “Anomalous scaling in an age-dependent branching model,” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 91, no. 2. American Institute of Physics, 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.” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 91, no. 2, 022803, American Institute of Physics, 2015, doi:10.1103/PhysRevE.91.022803. short: S. Keller-Schmidt, M. Tugrul, V. Eguíluz, E. Hernandez Garcia, K. Klemm, Physical Review E Statistical Nonlinear and Soft Matter Physics 91 (2015). date_created: 2018-12-11T11:54:31Z date_published: 2015-02-02T00:00:00Z date_updated: 2021-01-12T06:53:49Z day: '02' department: - _id: NiBa doi: 10.1103/PhysRevE.91.022803 external_id: arxiv: - '1012.3298' intvolume: ' 91' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1012.3298 month: '02' oa: 1 oa_version: Preprint publication: Physical Review E Statistical Nonlinear and Soft Matter Physics publication_status: published publisher: American Institute of Physics publist_id: '5213' quality_controlled: '1' scopus_import: 1 status: public title: Anomalous scaling in an age-dependent branching model type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 91 year: '2015' ...