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    Academic Journal

    Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada, Universitat Politècnica de Catalunya. ALBCOM - Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals

    Source: UPCommons. Portal del coneixement obert de la UPC
    Universitat Politècnica de Catalunya (UPC)

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    Academic Journal

    Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs

    Source: UPCommons. Portal del coneixement obert de la UPC
    Universitat Politècnica de Catalunya (UPC)

    File Description: application/pdf

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    Academic Journal

    Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs

    Source: UPCommons. Portal del coneixement obert de la UPC
    Universitat Politècnica de Catalunya (UPC)

    File Description: application/pdf

    Linked Full Text
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    Academic Journal

    Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. Departament de Ciències de la Computació, Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs, Universitat Politècnica de Catalunya. ALBCOM - Algorismia, Bioinformàtica, Complexitat i Mètodes Formals

    Source: UPCommons. Portal del coneixement obert de la UPC
    Universitat Politècnica de Catalunya (UPC)
    Recercat. Dipósit de la Recerca de Catalunya
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    Dissertation/ Thesis

    Contributors: Pérez Riascos, Alejandro, Chaib De Mares, Maryam

    File Description: 62 páginas; application/pdf

    Relation: R. Albert and A.-L. Barabási. Statistical mechanics of complex networks. Reviews of Modern Physics, 2002; M. Newman. Networks. Oxford University Press, second ed. edition, 2018; A. Barrat, M. Barthélemy, and A. Vespignani. Dynamical Processes on Complex Networks. Cambridge University Press, Cambridge, 2008; E. Estrada. The Structure of Complex Networks: Theory and Applications. Oxford University Press, 10 2011; A. P. Riascos and J. L. Mateos. Fractional dynamics on networks: Emergence of anomalous diffusion and l´evy flights. Physical Review E, 90:032809, 2014; N. Masuda, M. A. Porter, and R. Lambiotte. Random walks and diffusion on networks. Physics Reports, 716-717:1–58, 2017; A. P. Riascos. Dissimilarity between synchronization processes on networks. Physical Review E, 109:044301, 2024; G. Simmons and J. S. Robertson. Ecuaciones diferenciales: con aplicaciones y notas históricas. McGraw-Hill, 1993; M. Kot. Elements of Mathematical Ecology. Cambridge University Press, 2001; J. D. Murray. Mathematical Biology I. An Introduction, volume 17 of Interdisciplinary Applied Mathematics. Springer, New York, 3 edition, 2002; R. May. Will a large complex system be stable? Nature, 238:413–414, 1972; S. Allesina and S. Tang. Stability criteria for complex ecosystems. Nature, 483(7388):205–208, 2012; A. M. Mambuca, C. Cammarota, and I. Neri. Dynamical systems on large networks with predator-prey interactions are stable and exhibit oscillations. Physical Review E, 105, 1 2022; X. Liu, G. W. Constable, and J. W. Pitchford. Feasibility and stability in large Lotka Volterra systems with interaction structure. Physical Review E, 107, 5 2023; T. A. D. Pirey and G. Bunin. Many-species ecological fluctuations as a jump process from the brink of extinction. Physical Review X, 14, 1 2024; A. Castellanos. Towards an ecological and functional framework for modeling the structure and dynamics of the human gut microbiome, 2023. Tesis de Maestría, Universidad de los Andes. Asesores: Andrés Quiñones, Maryam Chaib De Mares, Alejandro Reyes, Katherine Coyte; A.-L. Barabási. Network science. Cambridge University Press, Cambridge, 2016; A. P. Riascos and J. L. Mateos. Random walks on weighted networks: A survey of local and non-local dynamics. Journal of Complex Networks, 9, 2021; T. M. Michelitsch, A. P. Riascos, B. A. Collet, A. F. Nowakowski, and F. C. G. A. Nicolleau. Fractional Dynamics on Networks and Lattices. ISTE/Wiley, London, 2019; J. D. Noh and H. Rieger. Random walks on complex networks. Physical Review Letters, 92:118701, 2004; A. P. Riascos and F. H. Padilla. A measure of dissimilarity between diffusive processes on networks. Journal of Physics A: Mathematical and Theoretical, 56, 2023; Y. Kuramoto. Chemical Oscillations, Waves, and Turbulence. Springer Berlin, Heidelberg, Berlin, Heidelberg, 1984; A. Arenas, A. D´ıaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou. Synchronization in complex networks. Physics Reports, 469(3):93–153, 2008; P. Ji, J. Ye, Y. Mu, W. Lin, Y. Tian, C. Hens, M. Perc, Y. Tang, J. Sun, and J. Kurths. Signal propagation in complex networks. Physics Reports, 1017:1–96, 2023; M. E. Muscarella and J. P. O’Dwyer. Species dynamics and interactions via metabolically informed consumer-resource models. Theoretical Ecology, 13(4):503–518, 2020; S. C. Chapra and R. P. Canale. Numerical methods for engineers. McGraw-Hill Higher Education, 2010; M. J. Hernandez. Disentangling nature, strength and stability issues in the characterization of population interactions. Journal of Theoretical Biology, 261:107–119, 11 2009.; I. Akjouj, M. Barbier, M. Clenet, W. Hachem, M. Ma¨ıda, F. Massol, J. Najim, and V. C. Tran. Complex systems in ecology: a guided tour with large Lotka-Volterra models and random matrices. Proceedings of the Royal Society A, 480, 2024; Y. Dou and Z. Zhou. Continuity of periodic solutions for lotka–volterra equations in coefficient functions. Zeitschrift f¨ur angewandte Mathematik und Physik, 74, 2023; A. Ferrarini. Evolutionary network control also holds for nonlinear networks: Ruling the Lotka-Volterra model. Network Biology, 5:34–42, 2015; C. G. Chakrabarti, S. Ghosh, and S. Bhadra. Non-equilibrium thermodynamics of Lotka-Volterra ecosystems: Stability and evolution. Journal of Biological Physics, 21(4):273–284, 1995; Q. Yu, D. Fang, X. Zhang, C. Jin, and Q. Ren. Stochastic evolution dynamic of the rock-scissors-paper game based on a quasi birth and death process. Scientific Reports, 6(1):28585, 2016; D. Griffon and M. J. Hernandez. Some theoretical notes on agrobiodiversity: spatial heterogeneity and population interactions. Agroecology and Sustainable Food Systems, 44:795–823, 7 2020; T. Verma and A. K. Gupta. Evolutionary dynamics of rock-paper-scissors game in the patchy network with mutations. Chaos, Solitons & Fractals, 153:111538, 2021; T. E. Gibson, Y. Kim, S. Acharya, D. E. Kaplan, N. DiBenedetto, R. Lavin, B. Berger, J. R. Allegretti, L. Bry, and G. K. Gerber. Intrinsic instability of the dysbiotic microbiome revealed through dynamical systems inference at scale. bioRxiv, 2021. bioRxiv 2021.12.14.469105; https://repositorio.unal.edu.co/handle/unal/87688; Universidad Nacional de Colombia; Repositorio Institucional Universidad Nacional de Colombia; https://repositorio.unal.edu.co/

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    Academic Journal

    Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques

    File Description: application/pdf

    Relation: https://www.mdpi.com/2227-7390/10/23/4418; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104987GB-I00/ES/JUEGOS DE VOTACION Y COOPERACION CON APLICACIONES A LAS REDES SOCIALES Y A LAS CIENCIAS POLITICAS/; Freixas, J. An aggregation rule based on the binomial distribution. "Mathematics", 23 Novembre 2022, vol. 10, núm. 23, article 4418.; http://hdl.handle.net/2117/380663

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