A joint functional law for the Wiener process and principal value by EndreCs´aki 1, 2 , Ant´oniaF¨oldes 3 and Zhan Shi 2 Alfr´ ed R´ enyi Institute of Mathematics, City University of New York & Universit´ e Paris VI Summary. We present a joint functional iterated logarithm law for the Wiener process and the principal value of its local times. Keywords. Wiener process, principal value of the local time, func- tional law of the iterated logarithm. 2000 Mathematics Subject Classification. 60F15; 60J55; 60J65. 1 Research supported by the Hungarian National Foundation for Scientific Research, Grant Nos. T 029621 and T 037886. 2 Research supported by the joint French–Hungarian Intergovernmental Grant “Balaton”, No. F-39/2000. 3 Research supported by a PSC CUNY grant, No. 634680032. 1