Real Analytic Curves in Fréchet Spaces and Their Duals.
Refined Algebraic Quantization: Systems with a single constraint
This paper explores in some detail a recent proposal (the Rieffel induction/refined algebraic quantization scheme) for the quantization of constrained gauge systems. Below, the focus is on systems with a single constraint and, in this context, on the uniqueness of the construction. While in general the results depend heavily on the choices made for certain auxiliary structures, an additional physical argument leads to a unique result for typical cases. We also discuss the 'superselection laws' that...
Régularité du temps local brownien dans les espaces de Besov-Orlicz
Let be a linear Brownian motion and (L(t,x), t > 0, x ∈ ℝ) its local time. We prove that for all t > 0, the process (L(t,x), x ∈ [0,1]) belongs almost surely to the Besov-Orlicz space with .
Remark on a Newton-Moser type method
Remark on two papers concerning axiomatics of quantum mechanics
By modifying a scheme (due to Gunson) it can be shown that the space generated by all irreducible states has a prehilbertian structure.
Remarks on tensor products and their applications in quantum theory I. General considerations
Remarks on tensor proucts and their applications in quantum theory - II. Spectral properties
Remarks on the symmetric space ... and its quatization.
Remarques sur la théorie des champs de bosons
Renormalization group approach to zero temperature Bose condensation.
Repeat distributions from unequal crossovers
It is a well-known fact that genetic sequences may contain sections with repeated units, called repeats, that differ in length over a population, with a length distribution of geometric type. A simple class of recombination models with single crossovers is analysed that result in equilibrium distributions of this type. Due to the nonlinear and infinite-dimensional nature of these models, their analysis requires some nontrivial tools from measure theory and functional analysis, which makes them interesting...
Representation of Itô integrals by Lebesgue/Bochner integrals
In [Yong 2004], it was proved that as long as the integrand has certain properties, the corresponding Itô integral can be written as a (parameterized) Lebesgue integral (or a Bochner integral). In this paper, we show that such a question can be answered in a more positive and refined way. To do this, we need to characterize the dual of the Banach space of some vector-valued stochastic processes having different integrability with respect to the time variable and the probability measure. The later...
Representation theorem for convex effect algebras
Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field
Rotation-invariant operators on white noise functional.
Rotundity, smoothness and duality
-linear algebra in economics and physics.
-linear operators in quantum mechanics and in economy.
Scaling algebras in local relativistic quantum physics.
Second order differentiability and Lipschitz smooth points of convex functionals