Lectures on probability theory and statistics

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This volume features lectures from the Saint-Flour Summer School of Probability Theory held from July 8 to 24, 1999. The authors are acknowledged for their significant contributions, and their lectures serve as a valuable reference in the field. The event attracted 85 participants, with 31 presenting their research. A list of participants and their papers is included at the end of the volume. Additionally, to aid in research related to previous schools, we provide the volume numbers of the "Lecture Notes" where they can be found: Lecture Notes in Mathematics spans various years from 1971 to 1998, with specific volume numbers listed for each year. The content includes significant topics such as large deviations and interacting random walks, featuring works by Erwin Bolthausen on subjects like the construction of three-dimensional polymer measures, self-attracting random walks, and one-dimensional pinning-depinning transitions. Each section is accompanied by references for further exploration.