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This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
Exponential Convergence Rates of Second Quantization Semigroups and Applications
Convergence rate tail norm entropy second quantization L´ evy processes
2011/2/28
Exponential convergence rates in the L2-tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This supplements the well known r...
Quantization of Poisson algebras associated to Lie algebroids
Quantization Poisson algebras Lie algebroids
2010/11/1
We prove the existence of a strict deformation quantization for the canonical Poisson structure on the dual of an integrable Lie algebroid. It follows that any Lie groupoid C*-algebra may be regarded...
Holomorphic quantization of linear field theory in the general boundary formulation
Holomorphic quantization of linear field theory general boundary formulation
2010/12/16
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähle...
The Nyström method for functional quantization with an application to the fractional Brownian motion
integral equation Nyströ m method Gaussian semi-martingale functional quantization
2010/12/1
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
Drinfeld Zastava is a certain closure of the moduli space of maps from the projective line to the Kashiwara flag scheme of the affine Lie algebra ˆ sln. We introduce an affine, reduced, irreducib...