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Abstract:

A new, conceptual proof approach for establishing the existence of regenerative space-time points for symmetric, translation invariant, finite-range interaction contact processes on survival is shown. The proof is elementary, complements the original one, and employs symmetry-based coupling arguments and a new consequence of convergence to equilibrium of the process in order to circumvent the original block construction. © Polymat, Moscow 2015.

Registro:

Documento: Artículo
Título:Regeneration of extremal particles for one-dimensional contact processes
Autor:Tzioufas, A.
Filiación:Departamento de Matematica, Universidad de Buenos Aires, Ciudad Universitaria, Capital Federal, C1428EGA, Argentina
Palabras clave:Contact process; Coupling; Regenerative space-time points
Año:2015
Volumen:21
Número:2
Página de inicio:275
Página de fin:282
Título revista:Markov Processes and Related Fields
Título revista abreviado:Markov Proces. Related Fields
ISSN:10242953
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10242953_v21_n2_p275_Tzioufas

Referencias:

  • Bezuidenhout, C., Grimmett, G., The critical contact process dies out (1990) Ann. Prob., 18, pp. 1462-1482
  • DuRRETT, R., (1995) Ten Lectures on Partiele Systems, , Lect. Notes Math. 1608, Springer-Verlag, New York
  • Durrett, R., Griffeath, D., Supercritical contact processes on Z (1983) Ann. Prob., 11, pp. 1-15
  • Durrett, R., Schonmann, R.H., Stochastic growth models (1987) Percolation Theory and Ergodic Theory of Infinite Particle Systems, pp. 85-119. , Springer, New York
  • Galves, A., Presutti, E., Edge fluctuations for the one-dimensional supercritical contact process (1987) Ann. Prob., 15, pp. 1131-1145
  • Harris, T.E., Contact interactions on a lattice (1974) Ann. Prob., 2, pp. 969-988
  • Harris, T.E., Additive set valued Markov processes and graphical methods (1978) Ann. Prob., 6, pp. 355-378
  • Kuczek, T., The central limit theorem for the right edge of supercritical oriented percolation (1989) Ann. Prob., 17, pp. 1322-1332
  • Liggett, T., (1985) Interacting Particle Systems, , Springer, New York
  • Liggett, T., (1999) Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, , Springer, New York
  • Mountford, T., Sweet, J., An extension of kuczek's argument to non nearest neighbor contact processes (2000) J. Theor. Probab., 13, pp. 1061-1081
  • Tzioufas, A., (2011) Contact Processes on the Integers, , Heriot-Watt University thesis
  • Tzioufas, A., (2013) Oriented Percolation with Density Close to One, , Preprint arXiv:1311.2952v5

Citas:

---------- APA ----------
(2015) . Regeneration of extremal particles for one-dimensional contact processes. Markov Processes and Related Fields, 21(2), 275-282.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10242953_v21_n2_p275_Tzioufas [ ]
---------- CHICAGO ----------
Tzioufas, A. "Regeneration of extremal particles for one-dimensional contact processes" . Markov Processes and Related Fields 21, no. 2 (2015) : 275-282.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10242953_v21_n2_p275_Tzioufas [ ]
---------- MLA ----------
Tzioufas, A. "Regeneration of extremal particles for one-dimensional contact processes" . Markov Processes and Related Fields, vol. 21, no. 2, 2015, pp. 275-282.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10242953_v21_n2_p275_Tzioufas [ ]
---------- VANCOUVER ----------
Tzioufas, A. Regeneration of extremal particles for one-dimensional contact processes. Markov Proces. Related Fields. 2015;21(2):275-282.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10242953_v21_n2_p275_Tzioufas [ ]