10 citations · 17 across the 6 of their papers we have counts for
6 papers
Quantized Kronecker flows and almost periodic quantum field theory
Slawomir Klimek, Andrzej Lesniewski
We define and study the properties of the infinite dimensional quantized Kronecker flow. This $\bC^*$-dynamical system arises as a quantization of the corresponding flow on an infi…
Ergodic properties of quantized toral automorphisms
S. Klimek, A. Lesniewski, N. Maitra +1
We study the ergodic properties for a class of quantized toral automorphisms, namely the cat and Kronecker maps. The present work uses and extends the results of [KL]. We show that…
Quantized chaotic dynamics and non-commutative KS entropy
S. Klimek, A. Lesniewski
We study the quantization of two examples of classically chaotic dynamics, the Anosov dynamics of "cat maps" on a two dimensional torus, and the dynamics of baker's maps. Each of t…
Superspace formulation of the Chern character of a theta-summable Fredholm module
A. Lesniewski, K. Osterwalder
We apply the concepts of superanalysis to present an intrinsically supersymmetric formulation of the Chern character in entire cyclic cohomology. We show that the cocycle condition…
Supersymmetry and Fredholm modules over quantized spaces
D. Borthwick, S. Klimek, A. Lesniewski +1
The purpose of this paper is to apply the framework of non- commutative differential geometry to quantum deformations of a class of Kahler manifolds. For the examples of the Cartan…
Matrix Cartan superdomains, super Toeplitz operators, and quantization
D. Borthwick, S. Klimek, A. Lesniewski +1
We present a general theory of non-perturbative quantization of a class of hermitian symmetric supermanifolds. The quantization scheme is based on the notion of a super Toeplitz op…