50 Years of First-Passage Percolation (University Lecture, 68, Band 68) - Softcover

Inhaltsangabe

Celebrating the 50th anniversary of one of the most classical models in probability theory, Aufflinger, Damron, and Hanson describe the main results of first-passage percolation, paying special attention to the recent burst of developments. They present self-contained proofs of seminal results obtained in the 1980s and 1990s on limit shapes and geodesics, while considering the state of the art of these questions. They also discuss recent perspectives and directions, among them the connection between Busemann functions and geodesics, proofs of sublinear variance of the passage time, and the role of growth and competition models. They close with old and new open questions and a challenge to solve them before the centenary. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)

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