We show the existence, for any k 2 N, of processes which have the same k-marginals as Brownian motion, although they are not Brownian motions. For k = 4, this proves a conjecture of Stoyanov. The law ~ P of such a \weak Brownian motion of order k" can be constructed to be equivalent to Wiener measure P on C0; 1]. On the other hand, there are weak Brownian motions of arbitrary order whose law is...

1Department of Liberal Arts, The Open University of Japan, 2-11 Wakaba, Mihama-ku, Chiba 261-8586, Japan 2Japan Network of People Living with HIV/AIDS, 1-21-12-103, Hyakunincho, Shinjyuku-ku, Tokyo 169-0073, Japan 3Division of Health Administration, TIS Inc., 2-11-1, Nagatacho, Chiyoda-ku, Tokyo 100-6150, Japan 4School of Nursing, Nagoya City University, 1 Kawasumi, Mizuhocho, Mizuho-ku, Nagoya...

The purpose of this study is to evaluate our institutional outcomes for percutaneous nephrostomy tube placement in pregnant patients, including potential complications that require early exchange. Our standard routine exchanges non-pregnant patients 6 weeks. This aims define a time interval patients. A retrospective chart and imaging review was conducted 51 who received between January 1, 2012,...