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Unequal Welfare States
The financial sustainability of the ageing welfare states in Europe has become a key policy issue recently. This study highlights a different aspect of the ageing process, namely its potentialExpand
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Von Neumann Uniqueness Theorem doesn't Hold in Hyperbolic Quantum Mechanics
It is shown that Von Neumann Uniqueness Theorem doesn't hold in Hyperbolic Quantum Mechanics.
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The definition of a random sequence of qubits: from Noncommutative Algorithmic Probability Theory to Quantum Algorithmic Information Theory and back
  • G. Segre
  • Mathematics, Computer Science
  • ArXiv
  • 4 September 2000
TLDR
The issue of defining a random sequence of qubits over a (commutative) finite alphabet is studied in the framework of Algorithmic Free Probability Theory. Expand
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Physical Complexity of Classical and Quantum Objects and Their Dynamical Evolution From an Information-Theoretic Viewpoint
Charles Bennett's measure of physical complexity for classical objects, namely logical-depth, is used to prove that a chaotic classical dynamical system is not physically complex. The natural measureExpand
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The No Cloning Theorem versus the Second Law of Thermodynamics
Asher Peres' proof that a violation of No Cloning Theorem would imply a violation of the Second Law of Thermodynamics is shown not to take into account the algorithmic-information's contribution toExpand
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An Introduction to Hyperbolic Analysis
An introduction to Hyperbolic Analysis is presented.
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Martin L\"{o}f - Solovay - Chaitin Axiom of Reduction versus Von Mises - Church Axiom of Reduction
  • G. Segre
  • Mathematics, Physics
  • 18 April 2009
Under the assumption that the quantum random number generator Quantis by Id Quantique is a fair quantum coin, experimental indications of the fact that independent tosses of a quantum coin don't passExpand
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Analytic Mechanics of Locally Conservative Physical Systems
The analysis of the dynamics of a material point perfectly constrained to a submanifold of the three-dimensional euclidean space and subjected to a locally conservative force's field, namely aExpand
Renormalization Group versus Kolmogorov-Sinai entropy: a very simple remark
  • G. Segre
  • Physics, Mathematics
  • 13 December 2005
A very simple remark concerning a link between the notions of Kolmogorov-Sinai entropy and of Renormalization Group is performed.
Time-reversal properties in the coupling of quantum angular momenta
  • G. Segre
  • Physics, Mathematics
  • 10 September 2007
After a synoptic panorama about some still unsolved foundational problems involving time-reversal, we show that the \emph{double time-reversal superselection rule} of Nonrelativistic QuantumExpand
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