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Baire's Category Theoretic Classification of Compact Expansive Dynamical Systems
Springer Science and Business Media LLC - Tập 09 Số 04 - Trang 315-323 - 2002
A revised version of the estimation inequality of Akashi [2] is given, and this
result is applied to Baire's category theoretic classification of ∊-expansive
dynamical systems. Moreover, this classification method is applied to
topological classification of shift dynamical systems on finite-dimensional
compact domains.
On Entangled Information and Quantum Capacity
Springer Science and Business Media LLC - Tập 8 - Trang 1-18 - 2001
The pure quantum entanglement is generalized to the case of mixed compound
states to include the classical and quantum encodings as particular cases. The
true quantum entanglements are characterized as transpose-CP but not CP maps.
The entangled information is introduced as the relative entropy of the mutual
and the input state and total information of the entangled states leads to two
different t...
Multiple time-scale diffusion models of starfish and coral state changes over the whole great barrier reef
Springer Science and Business Media LLC - Tập 2 - Trang 95-106 - 1993
A model is developed to investigate starfish and coral dynamics at the
macro-scale of the whole Great Barrier Reef. This stochastic near-equilibrium
theory is consistent with all available data for the mean rates of change of
reef-state relative to abundances of the starfishAcanthaster planci and the
scleractinian corals upon which it preys. This result is in striking contrast to
the stably cyclic...
Path curves, an introduction to the work of L. Edwards on bud forms
Springer Science and Business Media LLC - Tập 2 Số 3 - Trang 265-277 - 1994
Cooling Load Density Optimization of an Irreversible Simple Brayton Refrigerator
Springer Science and Business Media LLC - - 2002
The performance optimization of an irreversible simple Brayton refrigerator
coupled to constant-temperature heat reservoirs is carried out by taking the
cooling load density, i.e., the ratio of cooling load to the maximum specific
volume in the cycle, as the optimization objective using finite-time
thermodynamics (FTT) or entropy generation minimization (EGM) in this paper. The
analytical formulae...
Atom relaxing under a counting observation
Springer Science and Business Media LLC - Tập 1 - Trang 103-114 - 1992
A quantum-stochastic description of a continuous photon counting measurement in
the “atom plus a boson field” model has been developed. The statistics of photon
counts has been found. The posterior stochastic Schrödinger equation for the
atom under a continuous counting observation has been solved. It has been proved
that the atom relaxes without mixing to its ground state.
Pseudorandom Number Generators Based on Chaotic Dynamical Systems
Springer Science and Business Media LLC - Tập 8 - Trang 137-146 - 2001
Pseudorandom number generators are used in many areas of contemporary technology
such as modern communication systems and engineering applications. In recent
years a new approach to secure transmission of information based on the
application of the theory of chaotic dynamical systems has been developed. In
this paper we present a method of generating pseudorandom numbers applying
discrete chaotic ...
On fuzzy relative entropy
Springer Science and Business Media LLC - Tập 1 Số 3 - Trang 397-407 - 1992
Self-Organized Criticality: Self-Organized Complexity? The Disorder and "Simple Complexities" of Power Law Distributions
Springer Science and Business Media LLC - - 2000
Simple measures of complexity, showing either a monotonic or a convex dependence
on disorder, are studied for rank ordered power law distributions, indicative of
criticality, in the case where the total number of ranks is large. It is found
that a pwoer law distribution may produce a high level of complexity only for a
restricted range of system size (as measured by the total number of ranks), wit...
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