Finite dimensional approximations to Wiener measure and path integral formulas on manifolds

From MaRDI portal
Publication:1296778

DOI10.1006/jfan.1999.3413zbMath0943.58024OpenAlexW2012380373WikidataQ126029977 ScholiaQ126029977MaRDI QIDQ1296778

Bruce K. Driver, Lars Andersson

Publication date: 31 August 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3413




Related Items

Approximation schemes for path integration on Riemannian manifoldsThe fermionic integral on loop space and the Pfaffian line bundleA rigorous construction of the supersymmetric path integral associated to a compact spin manifoldFunction integrals corresponding to a solution of the Cauchy-Dirichlet problem for the heat equation in a domain of a Riemannian manifoldHeat kernel asymptotics, path integrals and infinite-dimensional determinantsThe expected value of the line integral of one-formsChernoff's theorem and discrete time approximations of Brownian motion on manifoldsPath integrals on manifolds with boundaryA stochastic analysis approach to lattice Yang-Mills at strong couplingAsymptotics of spectral gaps on loop spaces over a class of Riemannian manifoldsPATH INTEGRALS ON A COMPACT MANIFOLD WITH NON-NEGATIVE CURVATUREA rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic fieldChernoff approximations of Feller semigroups in Riemannian manifoldsA new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculusThe wave maps equation and Brownian pathsStochastic Heat Equations with Values in a Manifold via Dirichlet FormsPath integration over closed loops and Gutzwiller's trace formulaQuantum confinement for the curvature Laplacian \(- \Delta + cK\) on 2D-almost-Riemannian manifoldsPath integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted DiracSMOLYANOV–WEIZSÄCKER SURFACE MEASURES GENERATED BY DIFFUSIONS ON THE SET OF TRAJECTORIES IN RIEMANNIAN MANIFOLDSAn approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvatureFinite dimensional approximation of Riemannian path space geometry.A dynamical zeta function for pseudo Riemannian foliationsStochastic heat equations for infinite strings with values in a manifoldSemi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifoldGeometric stochastic heat equationsShort-time asymptotics of a rigorous path integral for N = 1 supersymmetric quantum mechanics on a Riemannian manifoldWITTEN LAPLACIAN ON PINNED PATH GROUP AND ITS EXPECTED SEMICLASSICAL BEHAVIORDiscrete approximations to integrals over unparametrized pathsSpectral Gaps on Discretized Loop SpacesPath integrals on manifolds by finite dimensional approximationFeynman formulas and functional integrals for diffusion with drift in a domain on a manifoldOn the space of infinite dimensional integrable functionsThe Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop spaceTHEORY OF DISTRIBUTION IN THE SENSE OF CONNES–HIDA AND FEYNMAN PATH INTEGRAL ON A MANIFOLDSmoothness of Itô maps and diffusion processes on path spaces (I)The Chern-Gauss-Bonnet theorem via supersymmetric Euclidean field theoriesBuilding a path-integral calculus: a covariant discretization approach



Cites Work