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19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing 2012Show all

13 papers · 1 filter

math.PR2012

Functional inequalities for Nonlocal Dirichlet Forms With Finite Range Jumps or Large Jumps

Xin Chen, Jian Wang

The paper is a continuation of our paper [12,2], and it studies functional inequalities for non-local Dirichlet forms with finite range jumps or large jumps. Let and $μ…

math-ph2012

The research program of Stochastic Deformation (with a view toward Geometric Mechanics)

Jean-Claude Zambrini

We give an overview of a program of Stochastic Deformation of Classical Mechanics and the Calculus of Variations, strongly inspired by the quantization method.

math-ph2012★ 3 cited

A deformation of the method of characteristics and the Cauchy problem for Hamiltonian PDEs in the small dispersion limit

Davide Masoero, Andrea Raimondo

We introduce a deformation of the method of characteristics valid for Hamiltonian perturbations of a scalar conservation law in the small dispersion limit. Our method of analysis i…

math.AP2012★ 2 cited

On the spectrum of deformations of compact double-sided flat hypersurfaces

Denis Borisov, Pedro Freitas

We study the asymptotic behaviour of the eigenvalues of the Laplace-Beltrami operator on a compact hypersurface in \mathds{R}^{n+1} as it is flattened into a singular double-sided…

math.FA2012★ 5 cited

A symplectic extension map and a new Shubin class of pseudo-differential operators

Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata

For an arbitrary pseudo-differential operator with Weyl symbol $a\in\mathcal{S}^{\prime}(\mathb…

math-ph2012★ 121 cited

On the metric operator for the imaginary cubic oscillator

Petr Siegl, David Krejcirik

We show that the eigenvectors of the PT-symmetric imaginary cubic oscillator are complete, but do not form a Riesz basis. This results in the existence of a bounded metric operator…

math-ph2012★ 5 cited

Painleve I, Coverings of the Sphere and Belyi Functions

Davide Masoero

The theory of poles of solutions of Painleve-I is equivalent to the Nevanlinna problem of constructing a meromorphic function ramified over five points - counting multiplicities -…

math-ph2012★ 5 cited

From simplicial Chern-Simons theory to the shadow invariant II

Atle Hahn

This is the second of a series of papers in which we introduce and study a rigorous "simplicial" realization of the non-Abelian Chern-Simons path integral for manifolds M of the fo…

math-ph2012★ 5 cited

From simplicial Chern-Simons theory to the shadow invariant I

Atle Hahn

This is the first of a series of papers in which we introduce and study a rigorous "simplicial" realization of the non-Abelian Chern-Simons path integral for manifolds M of the for…

gr-qc2012★ 2 cited

Planetary motion on an expanding locally anisotropic background

P. Castelo Ferreira

In this work are computed analytical solutions for orbital motion on a background described by an Expanding Locally Anisotropic (ELA) metric ansatz. This metric interpolates betwee…

math.PR2012

Asymptotic Properties of Coupled Forward-Backward Stochastic Differential Equations

Ana Bela Cruzeiro, André de Oliveira Gomes, Liangquan Zhang

In this paper, we consider coupled forward-backward stochastic differential equations (FBSDEs in short) with parameter . We study the asymptotic behavior of its sol…

gr-qc2012★ 5 cited

Constraining an Expanding Locally Anisotropic metric from the Pioneer anomaly

P. Castelo Ferreira

It is discussed the possibility of a fine-tuneable contribution to the two way Doppler acceleration either towards, either outwards the Sun for heliocentric distances above 20 AU b…

gr-qc2012

Noncanonical Phase-Space Noncommutative Black Holes

Catarina Bastos, Orfeu Bertolami, Nuno Dias +1

In this contribution we present a noncanonical phase-space noncommutative (NC) extension of a Kantowski Sachs (KS) cosmological model to describe the interior of a Schwarzschild bl…