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A finite dimensional approximation to pinned Wiener measure on symmetric spaces

by Zhehua Li

Institution:	University of California – San Diego
Year:	2016
Keywords:	Mathematics; Geometry; Probability
Posted:	02/05/2017
Record ID:	2128802
Full text PDF:	http://www.escholarship.org/uc/item/18t2259s

Abstract

Let M be a Riemannian manifold, o 2 M be a xed base point, Wo (M) bethe space of continuous paths from [0; 1] to M starting at o 2 M; and let x denoteWiener measure on Wo (M) conditioned to end at x 2 M: The goal of this thesis isto give a rigorous interpretation of the informal path integral expression for x;dx () = 'x ( (1))1Ze