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Chapter
Representing Behavior, Consciousness, Learning: Will a Purely Classical Artificial Intelligence Be Enough?
The question of whether or not the most advanced methods of Artificial Intelligence may be sufficient to implement a faithful representation of Behavior, Consciousness, Learning at classical level, with no nee...
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Article
The new frontiers of AI in the arena of behavioral economics
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Article
Open AccessThe ‘Life Machine’: A Quantum Metaphor for Living Matter
Aim of this paper is to provide a scheme for the construction of a conceptual, virtual machine (the term has here a significance analogous to that of the Turing machine, i.e., a formal device which manipulates an...
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Article
Open AccessTopology driven modeling: the IS metaphor
In order to define a new method for analyzing the immune system within the realm of Big Data, we bear on the metaphor provided by an extension of Parisi’s model, based on a mean field approach. The novelty is ...
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Chapter and Conference Paper
The Immune System as a Metaphor for Topology Driven Patterns Formation in Complex Systems
Artificial Immune Systems (AIS) [1] include algorithms and systems that use the human immune system as inspiration. The human immune system is a robust, decentralised, error tolerant and adaptive system. Such pro...
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Article
Topology, Formal Languages and Quantum Information
The paper provides a critical overview of the basic conceptual tools and algorithms of quantum information theory underlying the construction of quantum invariants of links and 3-manifolds as well as of their ...
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Article
Playing with Numbers, with Fermions and Bosons
We construct nonlinear maps which realize the fermionization of bosons and the bosonization of fermions with the view of obtaining states coding naturally integers in standard or in binary basis. Specifically...
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Chapter
Quantum Combing
Leading idea of this note is to argue that quantum information manipulation tools may allow us to explore much wider fields than mere computation, reaching beyond its boundaries to touch the very roots of the ...
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Article
Coupling of quantum angular momenta: an insight into analogic/discrete and local/global models of computation
In the past few years there has been a tumultuous activity aimed at introducing novel conceptual schemes for quantum computing. The approach proposed in (Marzuoli and Rasetti, 2002, 2005a) relies on the (re)co...
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Article
Quantum Computation of Universal Link Invariants
In the framework of the spin-network simulator based on the SUq(2) tensor algebra, we implement families of finite state quantum automata capable of accepting the language generated by the braid group, and whose ...
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Article
The Gaussian Polynomial, Restricted k-Rowed Plane Partitions and Hopf Algebras
Resorting to suitable representations of q-algebras, we give a new proof of the theorem stating that the Gaussian polynomial defined by the q-binomial coefficient is the weight (polynomial generating function) of...
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Article
The q-Zassenhaus formula
A q-deformed analogue of the Zassenhaus formula, expressing the q-exponential of a sum of two noncommuting operators in terms of an infinite product of q-exponentials, is introduced.
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Chapter
The Hubbard Models and Superconductivity
We discuss concisely how the conventional Hubbard model and its generalizations (including phonons) might be good candidates for an explanation of high Tc superconductivity, reviewing its properties both on cryst...
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Chapter
Metal-Insulator Transition in the 2-D Hubbard Model: A Fermionic Linearization Approach
We show that, by treating within the fermionic linearization scheme the hop** between adjacent 1-d chains, the free enegergy of the 2-d Hubbard model can be evaluated self-consistently as a function of an order...
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Chapter
Dynamical Algebras and Superalgebras for Interacting Itinerant Many-Electron Systems
The role of dynamical algebras, both (semi-simple) Lie and graded Lie, in the self-consistent solution of many itinerant interacting electron mean field problems is thoroughly reviewed, with particular attenti...
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Chapter
Exact Free Energy of a KSSH Model in d-Dimensions
The K.S.S.H.-like model one obtains when taking into account spin-non-conserving spin-orbit interactions in the hamiltonian, has been shown to be exactly solvable in any number of dimensions for a particular choi...
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Chapter
Spectrum of the Fermi-Linearized Extended Hubbard Model on a Dimer
The extension of the Hubbard model proposed in refs. [1], [2] includes a diagonal term designed to account for Coulomb interaction between nearest neighbour sites. In the present note we discuss the spectrum o...
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Chapter
The Fermi-Linearized Hubbard Model: Dimer Ground State
The zero temperature ground state for a Hubbard model is constructed, in the frame of fermionic linearization, for a two-site (dimer) cluster, in the form of a supercoherent state of the dynamical superalgebra...
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Chapter
The Map** Class Group in Statistical Mechanics: A Concise Review
The group of map** classes,i.e. the group ℳ g = π0 Diff (+)(Σg) of path components of isotopy classes of orientation preserving diffeomorphisms of sur...
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Chapter and Conference Paper
Self-consistency and supersymmetry in a many fermion system
We show that, in the context of a specific simple model whose dynamical algebra is a Lie superalgebra, the thermodynamic self-consistent fermionic diagonalization condition is equivalent to supersymmetry.
