R. Arratia. Coalescing Brownian motions on the line. PhD thesis, University of Wisconsin, Madison, 1979. M. Abramowitz and L. A. Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Wiley, New York, 1972. P. Donnelly, S. N. Evans, F. Fleischmann, T. G. Kurtz, and Z. Zhou. Continuum-sites steppingstone models, coalescing exchangeable partitions, and random trees. Ann. Probab., 28:1063–1110, 2000. S. N. Ethier and T. G. Kurtz. Markov Processes: Characterization and Convergence. Wiley, New York, 1986. D. Griffeath. Additive and cancellative interacting particle systems, volume 724 of Lecture Notes in Mathematics. Springer, Berlin, 1979. R. K. Getoor and M. J. Sharpe. Excursions of Brownian motion and Bessel processes. Z. Wahrsch. Verw. Gebiete, 47(1):83–106, 1979. T. E. Harris. Coalescing and noncoalescing stochastic flows in R1. Stoch. Proc. Appl., 17:187–210, 1984. O. Kallenberg. Random Measures. Academic Press, New York, 1976. A. Lachal. L’int´egrale du mouvement brownien. J. Appl. Prob., 30:17–27, 1993. M. Lefebvre. First-passage densities of a two-dimensional process. SIAM J. Appl. Math., 49(5):1514–1523, 1989. T. M. Liggett. Stochastic interacting systems: contact, voter and exclusion processes, volume 324 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1999. Y. Le Jan and O. Raimond. Integration of Brownian vector fields. Ann. Probab., 30(2):826–873, 2002. Y. Le Jan and O. Raimond. Flots de noyaux et flots coalescents. C. R. Math. Acad. Sci. Paris, 336(2):181–184, 2003. F. Soucaliuc, B. T´oth, and W. Werner. Reflection and coalescence between independent onedimensional brownian paths. Ann. Inst. H. Poincar´e Probab., 36:509–545, 2000. B. Tsirelson. Within and beyond the reach of Brownian innovation. In Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998), number Extra Vol. III, pages 311–320 (electronic), 1998. B. Tsirelson. Scaling limit, noise, stability. In J. Picard, editor, Lectures on probability theory and statistics : Ecole d’été de probabilites de Saint-Flour XXXII-2002, volume 1840, pages 1–106. Springer, Berlin, 2004. B. T´oth and W. Werner. The true self–repelling motion. Probab. Theory Related Fields, 111:375–452, 1997. J. Warren. The noise made by a Poisson snake. Electron. J. Probab., 7:no. 21, 21 pp. (electronic), 2002. J. Xiong and X. Zhou. On the duality between coalescing brownian motions. To appear in Can. J. Math. X. Zhou. Clustering behavior of continuous-site stepping-stone model with brownian migration. Elec. J. Probab., 8(11):1–15, 2003.