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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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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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Article
Statistical mechanics models and the modular group
A lattice homogeneous under the modular group γ of fractional linear transformations is constructed. The generating function for close packed dimer configurations on this infinite lattice is found directly, wi...