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Displaying 281 – 300 of 533

A stochastic approach to relativistic diffusions

Ismaël Bailleul (2010)

Annales de l'I.H.P. Probabilités et statistiques

A new class of relativistic diffusions encompassing all the previously studied examples has recently been introduced in the article of C. Chevalier and F. Debbasch (J. Math. Phys. 49 (2008) 043303), both in a heuristic and analytic way. A stochastic approach of these processes is proposed here, in the general framework of lorentzian geometry. In considering the dynamics of the random motion in strongly causal spacetimes, we are able to give a simple definition of the one-particle distribution function...

A stochastic characterization for harmonic morphisms.

P.J. Fitzsimmons, Laszlo Csink (1990)

Mathematische Annalen

A stochastic scheme for constructing solutions of the Schrödinger equations

C. Dewitt-Morette, K. D. Elworthy, B. L. Nelson, G. S. Sammelman (1980)

Annales de l'I.H.P. Physique théorique

A strong maximum principle for the Paneitz operator and a non-local flow for the $Q$ -curvature

Matthew J. Gursky, Andrea Malchiodi (2015)

Journal of the European Mathematical Society

In this paper we consider Riemannian manifolds $(M^{n}, g)$ of dimension $n \geq 5$ , with semi-positive $Q$ -curvature and non-negative scalar curvature. Under these assumptions we prove (i) the Paneitz operator satisfies a strong maximum principle; (ii) the Paneitz operator is a positive operator; and (iii) its Green’s function is strictly positive. We then introduce a non-local flow whose stationary points are metrics of constant positive $Q$ -curvature. Modifying the test function construction of Esposito-Robert, we show...

A Sufflcient Condition for a Critical Point of a Functional to be a Minimum and Its Application to Plateau' s Problem.

A.J. Tromba (1983)

Mathematische Annalen

A survey of the spectral and differential geometric aspects of the generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. I.

Prykarpatsky, Yarema A., Samoilenko, Anatoliy M., Prykarpatsky, Anatoliy K. (2005)

Applied Mathematics E-Notes [electronic only]

A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II.

Prykarpatsky, Yarema A., Samoilenko, Anatoliy M., Prykarpatsky, Anatoliy K. (2006)

Applied Mathematics E-Notes [electronic only]

A symplectic fixed point theorem for ...Cpn.

Barry Fortune (1985)

Inventiones mathematicae

A Symplectic Fixed Point Theorem on ... .

Yong-Geun Oh (1990)

Mathematische Zeitschrift

A theorem on the escape from the space of hyperbolic polynomials.

Ivan Meguerdtchian (1992)

Mathematische Zeitschrift

A Thom isomorphism for infinite rank Euclidean bundles.

Trout, Jody (2003)

Homology, Homotopy and Applications

A time periodic solution of the Navier-Stokes equations with mixed boundary conditions

Kučera, Petr (1998)

Proceedings of Equadiff 9

A Twistor Correspondence for Homogeneous Polynomial Differential Operators.

M.K. Murray (1985)

Mathematische Annalen

A Twistor Description of Harmonic Maps of a 2-Sphere into a Grassmannian.

F. E. Burstall (1986)

Mathematische Annalen

A typical convex surface contains no closed geodesic.

Peter M. Gruber (1991)

Journal für die reine und angewandte Mathematik

A unified approach to min-max critical point theorems.

Ramos, M., Rebelo, C. (1994)

Portugaliae Mathematica

A unified construction of the Alexander- and the Jones-invariant

Lüdde, Mirko (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

A unitarization process for some-locally compact topological groups.

J. Marion (1993)

Mathematische Zeitschrift

A vanishing theorem for a class of Systems with simple characteristics.

M. Kashiwara, P. Schapira (1985)

Inventiones mathematicae

A variational analysis of a gauged nonlinear Schrödinger equation

Alessio Pomponio, David Ruiz (2015)

Journal of the European Mathematical Society

This paper is motivated by a gauged Schrödinger equation in dimension 2 including the so-called Chern-Simons term. The study of radial stationary states leads to the nonlocal problem: $- Δ u (x) + (ω + \frac{h^{2} (| x |)}{{| x |}^{2}} + \int_{| x |}^{+ \infty} \frac{h (s)}{s} u^{2} (s) d s) u (x) = {| u (x) |}^{p - 1} u (x)$ , where $h (r) = \frac{1}{2} \int_{0}^{r} s u^{2} (s) d s$ . This problem is the Euler-Lagrange equation of a certain energy functional. In this paper the study of the global behavior of such functional is completed. We show that for $p \in (1, 3)$ , the functional may be bounded from below or not, depending on $ω$ . Quite surprisingly, the threshold value for $ω$ is explicit. From...

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