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Ekeland's Variational Principle for An $\bar{L}^{0}-$Valued Function on A Complete Random Metric Space
Random metric space random normed module L0− valued function lower semicontinuity Ekeland’s variational principle
2011/9/20
Abstract: Motivated by the recent work on conditional risk measures, this paper studies the Ekeland's variational principle for a proper, lower semicontinuous and lower bounded $\bar{L}^{0}-$valued fu...
A local global principle for regular operators in Hilbert C*-modules
Hilbert C*-modules unbounded operator semiregular and regular operator
2011/9/5
Abstract: Hilbert C*-modules are the analogues of Hilbert spaces where a C*-algebra plays the role of the scalar field. With the advent of Kasparov's celebrated KK-theory they became a standard tool i...
An Invariance Principle for the Tagged Particle Process in Continuum with Singular Interaction Potential
Diffusion processes interacting continuous particle systems random environment invariance principles
2011/9/1
Abstract: We consider the dynamics of a tagged particle in an infinite particle environment moving according to a stochastic gradient dynamics. For singular interaction potentials this tagged particle...
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...