Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes

DOI10.1007/BF02392199zbMath0547.60047OpenAlexW2080436245MaRDI QIDQ799026

Publication date: 1984

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392199

zbMATH Keywords

metric entropy random Fourier series continuity of sample paths strongly stationary p-stable processes

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Stationary stochastic processes (60G10) Sample path properties (60G17) Linear function spaces and their duals (46E99) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

A functional LIL for symmetric stable processes., Rate of convergence in the weak law of large numbers in a Banach space, On stochastic integral representation of stable processes with sample paths in Banach spaces, Distribution of the norm of a stable random vector of a Hilbert space, A characterization of a new type of strong law of large numbers, Metric extension operators, vertex sparsifiers and Lipschitz extendability, Hölder regularity for operator scaling stable random fields, On Type of Metric Spaces, Chevet's theorem for stable processes. II, Local nondeterminism and local times for stable processes, Uniform modulus of continuity of random fields, Chung LIL for integrated $\alpha$ stable process, Continuity of symmetric stable processes, Stabilité de sommes pondérées de variables aléatoires vectorielles. (Stability of weighted sums of vector random variables), Small deviations of stable processes and entropy of the associated random operators, Central limit theorem for random processes with sample paths in exponential Orlicz spaces, On the (p,q)$(p,q)$‐type strong law of large numbers for sequences of independent random variables, An introduction to the Ribe program, Absolutely minimal Lipschitz extension of tree-valued mappings, Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes, Random embedding of ${\ell_p^n}$ into ${\ell_r^N}$, Obituary: On the mathematical contributions of Joram Lindenstrauss, Conditional moments and linear regression for stable random variables, Criteria of divergence almost everywhere in ergodic theory, Markov chains, Riesz transforms and Lipschitz maps, Harmonizable stable processes on groups: spectral, ergodic and interpolation properties, Some confidence intervals arising from weak $l_ p$ spaces, Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property, A version of Chevet's theorem for stable processes, Real harmonizable multifractional stable process and its local properties, The Marcinkiewicz-Zygmund LLN in Banach spaces: a generalized martingale approach, Extending Lipschitz functions via random metric partitions, On random almost periodic trigonometric polynomials and applications to ergodic theory, Continuity and boundedness of infinitely divisible processes: A Poisson point process approach, Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces, Extensions of Lipschitz maps into Banach spaces, On stable Markov processes, A functional LIL for integrated $\alpha $ stable process, Modulus of continuity of some conditionally sub-Gaussian fields, application to stable random fields, Small deviation probability via chaining, Rademacher functions in Morrey spaces, Sudakov-type minoration for Gaussian chaos processes, Some applications of Ball’s extension theorem, max-infinitely divisible and max-stable sample continuous processes, Regularity of Gaussian processes, On path properties of certain infinitely divisible processes, Quantitative affine approximation for UMD targets, A version of Chevet's theorem for stable processes, The central limit theorem and the law of iterated logarithm for empirical processes under local conditions, Metric structures in $L_1$: dimension, snowflakes, and average distortion, Local properties of a multifractional stable field, The Central Limit Theorem for Empirical Processes Under Local Conditions: The Case of Radon Infinitely Divisible Limits without Gaussian Component, Rearrangement invariant norms of symmetric sequence norms of independent sequences of random variables, Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces, Operators of stable type, Thin sets of integers in harmonic analysis and $p$-stable random Fourier series, Stable-bounded subsets of $L^{\alpha}$, and sample unboundedness of symmetric stable processes, Central limit theorems and weak laws of large numbers in certain banach spaces, From additive to second-order processes, On Valiron means of $B$-valued random variables, On Lipschitz extension from finite subsets

Cites Work