EXISTENCE AND SIMULATION OF GIBBS-DELAUNAY-LAGUERRE TESSELLATIONS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10421857" target="_blank" >RIV/00216208:11320/20:10421857 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Or-6YruK7S" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Or-6YruK7S</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2020-4-0617" target="_blank" >10.14736/kyb-2020-4-0617</a>
Alternative languages
Result language
angličtina
Original language name
EXISTENCE AND SIMULATION OF GIBBS-DELAUNAY-LAGUERRE TESSELLATIONS
Original language description
Three-dimensional Laguerre tessellation models became quite popular in many areas of physics and biology. They are generated by locally finite configurations of marked points. Randomness is included by assuming that the set of generators is formed by a marked point process. The present paper focuses on 3D marked Gibbs point processes of generators which enable us to specify the desired geometry of the Laguerre tessellation. In order to prove the existence of a stationary Gibbs measure using a general approach of Dereudre, Drouilhet and Georgii [3], the geometry of Laguerre tessellations and their duals Laguerre Delaunay tetrahedrizations is examined in detail. Since it is difficult to treat the models analytically, their simulations are carried out by Markov chain Monte Carlo techniques.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
<a href="/en/project/GC17-00393J" target="_blank" >GC17-00393J: Parametric representation and stochastic 3D modeling of grain microstructures in polycrystalline materials using random marked tessellations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Kybernetika
ISSN
0023-5954
e-ISSN
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Volume of the periodical
56
Issue of the periodical within the volume
4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
29
Pages from-to
617-645
UT code for WoS article
000581026800002
EID of the result in the Scopus database
2-s2.0-85095873187