Lectures on Probability Theory and Statistics

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 8th-24th July, 1999. We thank the authors for all the hard work they accomplished. Their lectures are a work of reference in their domain. The School brought together 85 participants, 31 of whom gave a lecture concerning their research work. At the end of this volume you will find the list of participants and their papers. Finally, to facilitate research concerning previous schools we give here the number of the volume of "Lecture Notes" where they can be found: Lecture Notes in Mathematics 1975: n Degrees 539- 1971: n Degrees 307- 1973: n Degrees 390- 1974: n Degrees 480- 1979: n Degrees 876- 1976: n Degrees 598- 1977: n Degrees 678- 1978: n Degrees 774- 1980: n Degrees 929- 1981: n Degrees 976- 1982: n Degrees 1097- 1983: n Degrees 1117- 1988: n Degrees 1427- 1984: n Degrees 1180- 1985-1986 et 1987: n Degrees 1362- 1989: n Degrees 1464- 1990: n Degrees 1527- 1991: n Degrees 1541- 1992: n Degrees 1581- 1993: n Degrees 1608- 1994: n Degrees 1648- 1995: n Degrees 1690- 1996: n Degrees 1665- 1997: n Degrees 1717- 1998: n Degrees 1738- Lecture Notes in Statistics 1971: n Degrees 307- Table of Contents Part I Erwin Bolthausen: Large Deviations and Interacting Random Walks 1 On the construction of the three-dimensional polymer measure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Self-attracting random walks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3 One-dimensional pinning-depinning transitions. . . . . . . . . . . 105 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .