A polyhedral Markov field - pushing the Arak-Surgailis construction into three dimensions

Simple item page
dc.creatorSchreiber, Tomasz
dc.date2005-03-21
dc.date2007-06-21
dc.date.accessioned2026-07-07T08:11:25Z
dc.date.available2026-07-07T08:11:25Z
dc.descriptionThe purpose of the paper is to construct a polyhedral Markov field in ${\mathbb R}^3$ in analogy with the planar construction of the original Arak (1982) polygonal Markov field. We provide a dynamic construction of the process in terms of evolution of two-dimensional multi-edge systems tracing polyhedral boundaries of the field in three-dimensional time-space. We also give a general algorithm for simulating Gibbsian modifications of the constructed polyhedral field.
dc.description16 pages, second corrected version, published in the Markov Processes and Related Fields (2006), vol. 12 (1), 43-58, further small corrections
dc.identifierhttps://arxiv.org/abs/math/0503429
dc.identifierhttp://arxiv.org/abs/math/0503429
dc.identifierMarkov Processes and Related Fields (2006), vol. 12 (1), 43-58
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132117
dc.subjectProbability
dc.subject60D05; 60K35, 82B21
dc.titleA polyhedral Markov field - pushing the Arak-Surgailis construction into three dimensions
dc.typetext

Files

Collections

arXiv