The Experts below are selected from a list of 162 Experts worldwide ranked by ideXlab platform
Maxi San Miguel - One of the best experts on this subject based on the ideXlab platform.
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Binary and multivariate stochastic models of consensus formation
Computing in Science and Engineering, 2005Co-Authors: Maxi San Miguel, Raúl Toral, Víctor M. Eguíluz, Konstantin KlemmAbstract:We consider stochastic dynamic models studied via computer simulation. We review some basic results for the voter model which is probably the simplest model of collective behavior. Specifically, we focus on the dynamical effect of who interacts with whom - that is, the consequences of different interaction networks. We also consider R. Axelrod's (1997) model for the Dissemination of Culture.
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Role of dimensionality in Axelrod's model for the Dissemination of Culture
Physica A-statistical Mechanics and Its Applications, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a 4rst-order transition between an ordered and a disordered state. c
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Global Culture: A noise-induced transition in finite systems
Physical Review E, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze the effect of cultural drift, modeled as noise, in Axelrod’s model for the Dissemination of Culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in d51, where the dynamics is described in terms of a Lyapunov potential. In d52, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r&T 21 induces monocultural configurations, whereasr*T 21 sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.
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Collective phenomena in complex social networks
Understanding Complex Systems, 1Co-Authors: Federico Vazquez, Víctor M. Eguíluz, Juan Carlos González-avella, Maxi San MiguelAbstract:The problem of social consensus is approached from the perspective of nonlinear dynamics of interacting agents in a complex network. Some basic concepts, such as dynamical metastability, are discussed in the framework of the prototype voter model. In the context of Axelrod’s model for the Dissemination of Culture we describe a co-evolutionary dynamics formulation with recent results on group formation and nonequilibrium network fragmentation and recombination transitions.
Konstantin Klemm - One of the best experts on this subject based on the ideXlab platform.
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Binary and multivariate stochastic models of consensus formation
Computing in Science and Engineering, 2005Co-Authors: Maxi San Miguel, Raúl Toral, Víctor M. Eguíluz, Konstantin KlemmAbstract:We consider stochastic dynamic models studied via computer simulation. We review some basic results for the voter model which is probably the simplest model of collective behavior. Specifically, we focus on the dynamical effect of who interacts with whom - that is, the consequences of different interaction networks. We also consider R. Axelrod's (1997) model for the Dissemination of Culture.
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Role of dimensionality in Axelrod's model for the Dissemination of Culture
Physica A-statistical Mechanics and Its Applications, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a 4rst-order transition between an ordered and a disordered state. c
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Global Culture: A noise-induced transition in finite systems
Physical Review E, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze the effect of cultural drift, modeled as noise, in Axelrod’s model for the Dissemination of Culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in d51, where the dynamics is described in terms of a Lyapunov potential. In d52, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r&T 21 induces monocultural configurations, whereasr*T 21 sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.
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Role of dimensionality in Axelrod's model for the Dissemination of Culture
Physica A: Statistical Mechanics and its Applications, 2003Co-Authors: Konstantin Klemm, Raúl Toral, Vı́ctor M Eguı́luz, Maxi San MiguelAbstract:5 pages, 2 figures.-- PACS nrs.: 89.75.Fb; 05.50.+q; 87.23.Ge.-- Printed version published Sep 1, 2003.-- Issue title: Proceedings of the XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (Colonia del Sacramento, Uruguay, Dec 9-13, 2002).Full-text paper available Open Access at: http://ifisc.uib-csic.es/~victor/Cult/cult_pa.pdfWe analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a first-order transition between an ordered and a disordered state.Financial supports from MCyT (Spain) and FEDER projects CONOCE, BFM2001-0341-C02-01 and BFM2002-04474-C02-01 are gratefully acknowledged.Peer reviewe
Sascha Vitzthum - One of the best experts on this subject based on the ideXlab platform.
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Dissemination of Culture in a networked world the influence of network structure on the outcomes of the axelrod cultural model
Americas Conference on Information Systems, 2007Co-Authors: Sascha VitzthumAbstract:This paper investigates the effect of network structure properties on the outcome of a well researched information Dissemination mechanism. Using a computer simulation, the impact of network transitivity, centralization and density on both process variables and final outcomes are tested. The key finding of this simulation include a process model where the network structure properties only influence the velocity of convergence, which in itself influences the final outcome of the convergence mechanisms (final number of Cultures).
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AMCIS - Dissemination of Culture in a Networked World: The Influence of Network Structure on the Outcomes of the Axelrod Cultural Model
2007Co-Authors: Sascha VitzthumAbstract:This paper investigates the effect of network structure properties on the outcome of a well researched information Dissemination mechanism. Using a computer simulation, the impact of network transitivity, centralization and density on both process variables and final outcomes are tested. The key finding of this simulation include a process model where the network structure properties only influence the velocity of convergence, which in itself influences the final outcome of the convergence mechanisms (final number of Cultures).
Víctor M. Eguíluz - One of the best experts on this subject based on the ideXlab platform.
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Binary and multivariate stochastic models of consensus formation
Computing in Science and Engineering, 2005Co-Authors: Maxi San Miguel, Raúl Toral, Víctor M. Eguíluz, Konstantin KlemmAbstract:We consider stochastic dynamic models studied via computer simulation. We review some basic results for the voter model which is probably the simplest model of collective behavior. Specifically, we focus on the dynamical effect of who interacts with whom - that is, the consequences of different interaction networks. We also consider R. Axelrod's (1997) model for the Dissemination of Culture.
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Role of dimensionality in Axelrod's model for the Dissemination of Culture
Physica A-statistical Mechanics and Its Applications, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a 4rst-order transition between an ordered and a disordered state. c
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Global Culture: A noise-induced transition in finite systems
Physical Review E, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze the effect of cultural drift, modeled as noise, in Axelrod’s model for the Dissemination of Culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in d51, where the dynamics is described in terms of a Lyapunov potential. In d52, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r&T 21 induces monocultural configurations, whereasr*T 21 sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.
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Collective phenomena in complex social networks
Understanding Complex Systems, 1Co-Authors: Federico Vazquez, Víctor M. Eguíluz, Juan Carlos González-avella, Maxi San MiguelAbstract:The problem of social consensus is approached from the perspective of nonlinear dynamics of interacting agents in a complex network. Some basic concepts, such as dynamical metastability, are discussed in the framework of the prototype voter model. In the context of Axelrod’s model for the Dissemination of Culture we describe a co-evolutionary dynamics formulation with recent results on group formation and nonequilibrium network fragmentation and recombination transitions.
Raúl Toral - One of the best experts on this subject based on the ideXlab platform.
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Binary and multivariate stochastic models of consensus formation
Computing in Science and Engineering, 2005Co-Authors: Maxi San Miguel, Raúl Toral, Víctor M. Eguíluz, Konstantin KlemmAbstract:We consider stochastic dynamic models studied via computer simulation. We review some basic results for the voter model which is probably the simplest model of collective behavior. Specifically, we focus on the dynamical effect of who interacts with whom - that is, the consequences of different interaction networks. We also consider R. Axelrod's (1997) model for the Dissemination of Culture.
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Role of dimensionality in Axelrod's model for the Dissemination of Culture
Physica A-statistical Mechanics and Its Applications, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a 4rst-order transition between an ordered and a disordered state. c
-
Global Culture: A noise-induced transition in finite systems
Physical Review E, 2003Co-Authors: Konstantin Klemm, Víctor M. Eguíluz, Raúl Toral, Maxi San MiguelAbstract:We analyze the effect of cultural drift, modeled as noise, in Axelrod’s model for the Dissemination of Culture. The disordered multicultural frozen configurations are found not to be stable. This general result is proven rigorously in d51, where the dynamics is described in terms of a Lyapunov potential. In d52, the dynamics is governed by the average relaxation time T of perturbations. Noise at a rate r&T 21 induces monocultural configurations, whereasr*T 21 sustains disorder. In the thermodynamic limit, the relaxation time diverges and global polarization persists in spite of a dynamics of local convergence.
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Role of dimensionality in Axelrod's model for the Dissemination of Culture
Physica A: Statistical Mechanics and its Applications, 2003Co-Authors: Konstantin Klemm, Raúl Toral, Vı́ctor M Eguı́luz, Maxi San MiguelAbstract:5 pages, 2 figures.-- PACS nrs.: 89.75.Fb; 05.50.+q; 87.23.Ge.-- Printed version published Sep 1, 2003.-- Issue title: Proceedings of the XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (Colonia del Sacramento, Uruguay, Dec 9-13, 2002).Full-text paper available Open Access at: http://ifisc.uib-csic.es/~victor/Cult/cult_pa.pdfWe analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a first-order transition between an ordered and a disordered state.Financial supports from MCyT (Spain) and FEDER projects CONOCE, BFM2001-0341-C02-01 and BFM2002-04474-C02-01 are gratefully acknowledged.Peer reviewe