FRACTIONAL RANDOM FIELDS ON DOMAINS WITH FRACTAL BOUNDARY

DOI10.1142/S0219025704001694zbMath1055.60046OpenAlexW2001993603MaRDI QIDQ4822545

V. V. Anh, María D. Ruiz-Medina, José M. Angulo

Publication date: 25 October 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025704001694

zbMATH Keywords

Sobolev spacerandom fieldsMarkov random fieldtrace operatorfractal setfractional generalized random fieldstochastic fractal drum

Mathematics Subject Classification ID

Random fields (60G60) Continuous-time Markov processes on general state spaces (60J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Generalized stochastic processes (60G20)

Related Items

Recent developments on the construction of spatio-temporal covariance models, Multifractality in space-time statistical models, Spatiotemporal random fields associated with stochastic fractional Helmholtz and heat equations, Spatial autoregressive and moving average Hilbertian processes, Sample path properties of fractional Riesz–Bessel field of variable order, Random Fields with Multifractional Regularity Order on Heterogenous Fractal Domains, Fractional random fields associated with stochastic fractional heat equations, Spatial and Spatiotemporal Karhunen-Loève-Type Representations on Fractal Domains, Functional denoising and reconstruction of fractal image sequences, Multifractional Markov Processes in Heterogeneous Domains

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