4,866 research outputs found
Strong limit theorems in the multi-color generalized allocation scheme
The generalized allocation scheme is studied. Its extension for coloured
balls is defined. Some analogues of the Law of the Iterated Logarithm and the
Strong Law of Large Numbers are obtained for the number of boxes containing
fixed numbers of balls.Comment: 11 page
Binary mixtures of condensates in generic confining potentials
We study a binary mixture of Bose-Einstein condensates, confined in a generic
potential, in the Thomas-Fermi approximation. We search for the
zero-temperature ground state of the system, both in the case of fixed numbers
of particles and fixed chemical potentials.Comment: 20 pages, 2 figure
Perfect powers in Smarandache n-Expressions
Is studied the concept of Smarandache n-expressions, for example I proposed
formulas, found solutions, proposed open questions, and conjectured, but all for the fixed 3, and 2 numbers, but what will happen if these equations have diferent fixed numbers such as 7? This paper will answer this question
Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED
We use the worldline path-integral approach to the Bern-Kosower formalism for
developing a new algorithm for calculation of the sum of all diagrams with one
spinor loop and fixed numbers of external and internal photons. The method is
based on worldline supersymmetry, and on the construction of generalized
worldline Green functions. The two-loop QED -- function is calculated
as an example.Comment: uuencoded ps-file, 20 pages, 2 figures, final revised version to
appear in Phys. Rev.
The quasi-particle gap in a disordered boson Hubbard model in two dimensions
We investigate the behavior of the quasi-particle energy gap near quantum
phase transitions in a two-dimensional disordered boson Hubbard model at a
commensurate filling. Via Monte Carlo simulations of ensembles with fixed
numbers of particles, we observe the behavior of the gap as a function of the
tuning parameter for various strength of diagonal disorder. For weak disorder,
we find that gapped Mott insulating phase is sustained up to the transition
point and disappears only in a superfluid, strongly supporting a direct
Mott-insulator-to-superfluid transition. Bose glass behavior, insulating with
vanishing gap, appears only when the strength of disorder is bigger than a
critical value
Statistics of planar graphs viewed from a vertex: A study via labeled trees
We study the statistics of edges and vertices in the vicinity of a reference
vertex (origin) within random planar quadrangulations and Eulerian
triangulations. Exact generating functions are obtained for theses graphs with
fixed numbers of edges and vertices at given geodesic distances from the
origin. Our analysis relies on bijections with labeled trees, in which the
labels encode the information on the geodesic distance from the origin. In the
case of infinitely large graphs, we give in particular explicit formulas for
the probabilities that the origin have given numbers of neighboring edges
and/or vertices, as well as explicit values for the corresponding moments.Comment: 36 pages, 15 figures, tex, harvmac, eps
A Self-organising Model of Market with Single Commodity
We have studied here the self-organising features of the dynamics of a model
market, where the agents `trade' for a single commodity with their money. The
model market consists of fixed numbers of economic agents, money supply and
commodity. We demonstrate that the model, apart from showing a self-organising
behaviour, indicates a crucial role for the money supply in the market and also
its self-organising behaviour is seen to be significantly affected when the
money supply becomes less than the optimum. We also observed that this optimal
money supply level of the market depends on the amount of `frustration' or
scarcity in the commodity market.Comment: 8 pages, 3 figures (encapsulated postscript
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