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Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach
Quantum-to-Classical Correspondence Hubbard-Stratonovich Dynamical Systems
2011/3/2
We propose a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-St...
K-Theoretic Duality for Hyperbolic Dynamical Systems
K-Theoretic Duality Hyperbolic Dynamical Systems
2010/12/13
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces.This had previously been proved only ...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...
Global Convergence for Discrete Dynamical Systems and Forward Neural Networks
Discrete Dynamical Systems Forward Neural Networks
2010/3/1
Using a theoretical result regarding the global stability of discrete dynamical systems of lower triangular form, we establish convergence properties of forward neural networks when the neuron respons...