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Random walks on multiconnected manifolds and conformal field theory. (English) Zbl 0836.60076

Summary: We propose a simple geometrical method which enables us to link the topological properties of a random walk on the double-punctured plane and the conformal field theory characterized by the central charge \(c = - 2\) and the conformal dimension \(\Delta = - {1 \over 8}\). We discuss briefly the connection between the topological invariants obtained from the conformal methods and the algebraic Alexander invariants for the simplest nontrivial braid \(B_3\).

MSC:

60G50 Sums of independent random variables; random walks
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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