Literature Cited
R. L. Dobrushin, “Self-similarity and the renorm-group of generalized random fields,” in: Multicomponent Random Systems [in Russian], Nauka, Moscow (1978), pp. 179–213.
R. L. Dobrushin, “Gaussian and their subordinated self-similar random fields,” Ann. Probab.,7, No. 1, 1–28 (1979).
V. Bentkus and D. Durgailis, “Some classes of self-similar random fields,” Liet. Mat. Rinkinys,21, No. 2, 53–66 (1981).
Ya. G. Sinai, “Self-similar probability distributions,” Teor. Veroyatn. Primen.,21, 63–80 (1976).
M. S. Taqqu, “Convergence of integrated process of arbitrary Hermite rank,” Z. Wahr. Verw. Geb.,50, 53–83 (1979).
I. M. Gel'fand and N. I. Vilenkin, Generalized Functions, Vol. 4, Academic Press (1964).
I. M. Gel'fand and N. I. Vilenkin, Generalized Functions, Vol. 1, Academic Press (1964).
N. S. Landkof, Foundations of Modern Potential Theory [in Russian], Nauka, Moscow (1966).
E. Stein and G. Weiss, Singular Integrals and Differential Properties of Functions [Russian translation], Mir, Moscow (1973).
Z. Ciesielski, “Stochastic equation for realization of the Levy-Brownian motion with a several-dimensional time,” Bull. Acad. Polon. Sci., Ser. Sci. Math. Astron. Phys.,23, 1193–1198 (1975).
S. Kusuoka, “Markov fields and local operators,” J. Faculty Sci. Univ. Tokyo, Sec. 1A,26, No. 2, 199–212 (1979).
Additional information
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Shornik (Lietuvos Matematikos Rinkinys), Vol. 22, No. 3, pp. 3–11, July–September, 1982.
Rights and permissions
About this article
Cite this article
Astrauskas, A. Stable self-similar fields. Lith Math J 22, 215–221 (1982). https://doi.org/10.1007/BF00966413
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00966413