Found 53 Documents (Results 1–53)
Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry. (English) Zbl 1527.58009
Chernoff approximations of Feller semigroups in Riemannian manifolds. (English) Zbl 1529.58014
Reviewer: Feng-Yu Wang (Tianjin)
Generalized Ornstein-Uhlenbeck semigroups in weighted \(L^p\)-spaces on Riemannian manifolds. (English) Zbl 1509.47067
Reviewer: Mohammed El Aïdi (Bogotá)
Heat flow regularity, Bismut-Elworthy-Li’s derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature. (English) Zbl 07478658
Image-dependent conditional McKean-Vlasov SDEs for measure-valued diffusion processes. (English) Zbl 1470.60227
Heat conservation for generalized Dirac Laplacians on manifolds with boundary. (English) Zbl 1439.58017
A Feynman-Kac formula for differential forms on manifolds with boundary and geometric applications. (English) Zbl 1377.53057
Magnetic relativistic Schrödinger operators and imaginary-time path integrals. (English) Zbl 1266.81079
Demuth, Michael (ed.) et al., Mathematical physics, spectral theory and stochastic analysis. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0590-2/hbk; 978-3-0348-0591-9/ebook). Operator Theory: Advances and Applications 232. Advances in Partial Differential Equations, 247-297 (2013).
On generalized Schrödinger semigroups. (English) Zbl 1257.47048
Reviewer: Michael Perelmuter (Kyïv)
Wiener measures on Riemannian manifolds and the Feynman-Kac formula. (English) Zbl 1302.58017
Reviewer: Isamu Dôku (Saitama)
The Feynman-Kac formula for Schrödinger operators on vector bundles over complete manifolds. (English) Zbl 1207.53050
Spectrum of the Laplacian and of the Schrödinger operator on a manifold: from spectral geometry to semiclassical analysis. (Spectre du laplacien et de l’opérateur de Schrödinger sur une variété: de la géometrie spectrale à l’analyse semi-classique.) (French) Zbl 1185.35150
Reviewer: Jesús Hernández (Madrid)
Fredholm determinant of an integral operator driven by a diffusion process. (English) Zbl 1168.58014
Reviewer: Jacques Franchi (Strasbourg)
MSC:
58J65
Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold. (English. Russian original) Zbl 1155.58302
Math. Notes 83, No. 3, 301-316 (2008); translation from Mat. Zametki 83, No. 3, 333-349 (2008).
The heat kernel of the compactified \(D=11\) supermembrane with non-trivial winding. (English) Zbl 1178.81215
Limiting behavior of surface measures on spaces of trajectories. (English. Russian original) Zbl 1064.58030
Math. Notes 76, No. 2, 286-290 (2004); translation from Mat. Zametki 76, No. 2, 307-311 (2004).
Reviewer: Yuri E. Gliklikh (Voronezh)
Curvature, bounded cohomology and path integrals. (English) Zbl 1055.53030
Yang, Lo (ed.) et al., First international congress of Chinese mathematicians. Proceedings of the ICCM ’98, Beijing, China, December 12–16, 1998. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2652-2/pbk). AMS/IP Stud. Adv. Math. 20, 297-309 (2001).
Functional integration. (English) Zbl 0974.58011
Integrable system of the heat kernel associated with logarithmic potentials. (English) Zbl 0981.58021
Feynman’s path integrals and Henstock’s non-absolute integration. (English) Zbl 0963.28012
Reviewer: Oleksandr Kukush (Kiev)
The probabilistic Feynman-Kac formula for an infinite-dimensional Schrödinger equation with exponential and singular potentials. (English) Zbl 0940.35207
Reviewer: Piotr Garbaczewski (Zielona Gora)
On the Schrödinger equation with potentials which are Laplace transforms of measures. (English) Zbl 0928.58016
Reviewer: N.Papaghiuc (Iaşi)
Partial differential equations. 2: Qualitative studies of linear equations. (English) Zbl 0869.35003
Applied Mathematical Sciences. 116. New York, NY: Springer-Verlag. xxi, 528 p. DM 98.00; öS 715.40; sFr 86.50 (1996).
Reviewer: J.Wloka (Kiel)
Formulae with logarithmic derivatives of measures related to the quantization of infinite-dimensional Hamiltonian systems. (English. Russian original) Zbl 0877.58032
Russ. Math. Surv. 51, No. 2, 357-358 (1996); translation from Usp. Mat. Nauk 51, No. 2, 149-150 (1996).
Reviewer: A.Klíč (Praha)
Backward stochastic differential equations and quasilinear partial differential equations. (English) Zbl 0830.60054
Etheridge, Alison (ed.), Stochastic partial differential equations. Proceedings of an ICMS workshop held in Edinburgh, UK in March 1994. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 216, 189-208 (1995).
Reviewer: M.Schweizer (Berlin)
Stochastic analysis. An introduction to the theory of continuous semimartingales. (Stochastische Analysis. Eine Einführung in die Theorie der stetigen Semimartingale.) (German) Zbl 0815.60046
Mathematische Leitfäden. Stuttgart: Teubner. 560 S. (1994).
Reviewer: M.Scheutzow (Berlin)
Density-dependent host/parasite systems of Rothschild type and Finslerian diffusion. (English) Zbl 0823.92017
Euclidean Majorana fermions, fermionic integrals, and relative Pfaffians. (English) Zbl 0809.46087
Reviewer: W.Slowikowski (Aarhus)
Stochastic calculus in superspace. II: Differential forms, supermanifolds and the Atiyah–Singer index theorem. (English) Zbl 0772.60048
Stochastic calculus in superspace and supersymmetric Hamiltonians. (English) Zbl 0757.58006
Differential geometric methods in theoretical physics, Proc. 19th Int. Conf., Rapallo/Italy 1990, Lect. Notes Phys. 375, 255-262 (1991).
Reviewer: H.Boseck (Greifswald)
On the spectrum of a selfadjoint operator in \(L_ 2(K)\), where \(K\) is a local field; an analogue of the Feynman-Kats formula. (Russian. English summary) Zbl 0766.47028
Reviewer: R.C.Gilbert (Fullerton)
A supersymmetric Feynman-Kac formula. (English) Zbl 0743.60063
Stochastic analysis, Proc. Symp., Durham/UK 1990, Lond. Math. Soc. Lect. Note Ser. 167, 333-351 (1991).
Reviewer: A.Rogers
A Feynman-Kac formula for the quantum Heisenberg ferromagnet. II. (English) Zbl 0725.58008
Reviewer: H.Rumpf (Wien)
A Feynman-Kac formula for the quantum Heisenberg ferromagnet. I. (English) Zbl 0715.58005
Reviewer: H.Rumpf
A covariant Feynman-Kac formula for unitary bundles over Euclidean space. (English) Zbl 0693.58039
Stochastic partial differential equations and applications II, Proc. 2nd Conf., Trento/Italy 1988, Lect. Notes Math. 1390, 1-12 (1989).
Reviewer: J.Marschall
Short-time asymptotics of the heat kernel on a concave boundary. (English) Zbl 0685.58035
Reviewer: N.Jacob
Path integration in superspace. (English) Zbl 0672.53062
Complex differential geometry and supermanifolds in strings and fields, Proc. 7th Scheveningen Conf., Scheveningen/Netherl. 1987, Lect. Notes Phys. 311, 114-149 (1988).
Reviewer: C.S.Sharma
Sur le théorème de l’incide des familles. (On the index theorem). (French) Zbl 0649.60068
Séminaire de probabilités XXII, Strasbourg/France, Lect. Notes Math. 1321, 348-413 (1988).
Reviewer: M.M.Rao
Feynman’s operational calculus, generalized Dyson series and the Feynman integral. (English) Zbl 0621.28010
Operator algebras and mathematical physics, Proc. Summer Conf., Iowa City/Iowa 1985, Contemp. Math. 62, 437-445 (1987).
Stability theorems for the Feynman integral. (English) Zbl 0617.58013
Reviewer: T.Ichinose
Feynman measures with correlation operators of indefinite sign. (English. Russian original) Zbl 0514.28011
Sov. Math., Dokl. 25, 32-35 (1982); translation from Dokl. Akad. Nauk SSSR 262, 37-40 (1982).
Classical mechanics, the diffusion (heat) equation and the Schrödinger equation on a Riemannian manifold. (English) Zbl 0485.70024
Path integral approach to fluctuations in dynamic processes. (English) Zbl 0473.58007
Chaos and order in nature, Proc. int. Symp., Schloss Elmau/Bavaria 1981, Springer Ser. Synergetics 11, 156-163 (1981).
The classical limit of quantum mechanics in a curved space background. (English) Zbl 0484.58030
Functional integration, Theory Appl., Proc. Colloq., Louvain-la- Neuve/Belgium 1979, 65-87 (1980).
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