Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A finite dimensional approximation to pinned Wiener measure on some
  symmetric spaces   Path integrals developed by Richard Feynman have been an important tool in
Physics in studying quantum field theory. In mathematics, it has also been
widely used in providing formal proofs in the study of Index theorem and
asymptotic behaviors of heat kernels. Finite dimensional approximations to path
integral representations give a way to interpret path integrals and make the
formal argument rigorous. The central idea is to restrict a path integral to
smaller path spaces where everything is well defined and then to interpret the
original path integral as a "limit" when smaller path spaces "exhaust" the full
path space (Wiener space). In this paper I will present a finite dimensional
approximation to Brownian bridge on a symmetric space of non---compact type
using pinned piecewise geodesic space adapted to partitions of time.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int