References
Burdzy, K.: Brownian excursions from hyperplanes and smooth surfaces. To appear in Transactions AMS (1985a)
Burdzy, K.: Local properties of 2-dimensional Brownian excursion. A preprint (1985b)
Burdzy, K.: Brownian excursions and minimal thinness. Part I. A preprint (1985c)
Burdzy, K.: Brownian excursions and minimal thinness. Part II. Applications to boundary behavior of the Green function. To appear in Seminar on Stochastics Processes 1985. Cinlar, E., Chung, K.L., Getoor, R.K., Eds. Boston: Birkhäuser 1985d
Doob, J.L.: Classical Potential Theory and Its Probabilistic Counterpart. Berlin Heidelberg New York: Springer 1984
Durrett, R.: Brownian Motion and Martingales in Analysis. Belmont: Wadsworth 1984
Ito, K., McKean, H.: Diffusion Processes and Their Sample Paths. Berlin Heidelberg New York: Springer 1965
Jackson, H.L.: Some remarks on angular derivatives and Julia's Lemma. Can. Math. Bull.9, 233–241 (1965)
Lelong-Ferrand, J.: Étude au voisinage de la frontière des fonctions surharmoniques positives dans un demi-espace. Annales Ecole Norm. Sup.66, 125–159 (1949)
Lelong-Ferrand, J.: Représentation conforme et transformation a intégrale de Dirichlet bornée. Paris: Gauthier-Villars 1955
Maisonneuve, B.: Exit systems. Ann. of Probab.3, 399–411 (1975)
McKean, H.: Stochastic Intergals. New York: Academic Press 1969
Ohtsuka, M.: Dirichlet Problem, Extremal Length and Prime Ends. New York: Van Nostrand Reinhold 1970
Ostrowski, A.: Zur Randverzerrung bei konformer Abbildung. Prace mat.-fiz.44, 371–471 (1936)
Pommerenke, C.: Univalent Functions. Göttingen: Vandenhoeck and Ruprecht 1975
Prot, S.C., Stone, C.J.: Brownian motion and classical potential theory. New York: Academic Press 1978
Rodin, B., Warschawski, S.E.: Extremal length and univalent functions. I. The angular derivative. Math. Z.153, 1–17 (1977)
Rodin, B., Warschawski, S.E.: Angular derivative conditions for comb domains. Contemp. Math.38 (1985)
Warschawski, S.E.: On the boundary behavior of conformal maps. Nagoya Math. J.30, 83–101 (1967)
Author information
Authors and Affiliations
Additional information
Research supported in part by NSF grant DMS-8419377
Rights and permissions
About this article
Cite this article
Burdzy, K. Brownian excursions and minimal thinness. Math Z 192, 89–107 (1986). https://doi.org/10.1007/BF01162023
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01162023