Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Interacting_particle_system> ?p ?o. }
Showing items 1 to 19 of
19
with 100 items per page.
- Interacting_particle_system abstract "In probability theory, an interacting particle system (IPS) is a stochastic process on some configuration space given by a site space, a countable-infinite graph and a local state space, a compact metric space . More precisely IPS are continuous-time Markov jump processes describing the collective behavior of stochastically interacting components. IPS are the continuous-time analogue of stochastic cellular automata.Among the main examples are the voter model, the contact process, the asymmetric simple exclusion process (ASEP), the Glauberdynamics and in particular the stochastic Ising model.IPS are usually defined via their Markov generator giving rise a unique Markov process using Markov semigroups and the Hille-Yosida theorem. The generator again is given via so-called transition rates where is a finite set of sites and with for all . The rates describe exponential waiting times of the process to jump from configuration into configuration . More generally the transition rates are given in form of a finite measure on . The generator of an IPS has the following form: Let be an observable in the domain of which is a subset of the real valued continuous function on the configuration space, then.For example for the stochastic Ising model we have , , if for some and where is the configuration equal to except it is flipped at site . is a new parameter modeling the inverse temperature.".
- Interacting_particle_system wikiPageID "37809826".
- Interacting_particle_system wikiPageRevisionID "590220334".
- Interacting_particle_system hasPhotoCollection Interacting_particle_system.
- Interacting_particle_system subject Category:Complex_systems_theory.
- Interacting_particle_system subject Category:Lattice_models.
- Interacting_particle_system subject Category:Markov_models.
- Interacting_particle_system subject Category:Markov_processes.
- Interacting_particle_system subject Category:Self-organization.
- Interacting_particle_system subject Category:Spatial_processes.
- Interacting_particle_system subject Category:Stochastic_models.
- Interacting_particle_system subject Category:Stochastic_processes.
- Interacting_particle_system comment "In probability theory, an interacting particle system (IPS) is a stochastic process on some configuration space given by a site space, a countable-infinite graph and a local state space, a compact metric space . More precisely IPS are continuous-time Markov jump processes describing the collective behavior of stochastically interacting components.".
- Interacting_particle_system label "Interacting particle system".
- Interacting_particle_system sameAs m.0nhgsdz.
- Interacting_particle_system sameAs Q6045167.
- Interacting_particle_system sameAs Q6045167.
- Interacting_particle_system wasDerivedFrom Interacting_particle_system?oldid=590220334.
- Interacting_particle_system isPrimaryTopicOf Interacting_particle_system.