35 research outputs found
Condensing of self-organizing groups
Condensing phenomena for systems biology, ecology and sociology present in real life different complex behaviors. Based on local interaction between agents, we present another result of the Energy-based model presented by [20]. We involve an additional condition providing the total condensing (also called consensus) of a discrete positive measure. Key words: Condensing; consensus; random move; self-organizing groups; collective intelligence; stochastic modeling. AMS Subject Classifications: 81T80; 93A30; 37M05; 68U2
Energy-based model of forming subgroups on finite metric space
Local interactions between particles of a collection causes all particles to reorganize in new positions. The purpose of this paper is to construct an energy-based model of self-organizing subgroups, which describes the behavior of singular local moves of a particle. The present paper extends the Hegselmann-Krause model on consensus dynamics, where agents simultaneously move to the barycenter of all agents in an epsilon neighborhood. The Energy-based model presented here is analyzed and simulated on finite metric space. AMS Subject Classifications:81T80; 93A30; 37M05; 68U2
Lattice Field Theory with the Sign Problem and the Maximum Entropy Method
Although numerical simulation in lattice field theory is one of the most
effective tools to study non-perturbative properties of field theories, it
faces serious obstacles coming from the sign problem in some theories such as
finite density QCD and lattice field theory with the term. We
reconsider this problem from the point of view of the maximum entropy method.Comment: This is a contribution to the Proc. of the O'Raifeartaigh Symposium
on Non-Perturbative and Symmetry Methods in Field Theory (June 2006,
Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry:
Methods and Applications) at http://www.emis.de/journals/SIGMA
Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky K(cos) equation
A numerical study of the nonlinear wave solutions of the Rosenau-Pikovsky
K(cos) equation is presented. This equation supports at least two kind of
solitary waves with compact support: compactons of varying amplitude and speed,
both bounded, and kovatons which have the maximum compacton amplitude, but
arbitrary width. A new Pad\'e numerical method is used to simulate the
propagation and, with small artificial viscosity added, the interaction between
these kind of solitary waves. Several numerically induced phenomena that appear
while propagating these compact travelling waves are discussed quantitatively,
including self-similar forward and backward wavepackets. The collisions of
compactons and kovatons show new phenomena such as the inversion of compactons
and the generation of pairwise ripples decomposing into small
compacton-anticompacton pairs
The Growing Importance of Cognitive Skills in Wage Determination
Using data from two longitudinal surveys of American high school seniors, we show that basic cognitive skills had a larger impact on wages for 24-year-old men and women in 1986 than in 1978. For women, the increase in the return to cognitive skills between 1978 and 1986 accounts for all of the increase in the wage premium associated with post-secondary education. We also show that high school seniors' mastery of basic cognitive skills had a much smaller impact on wages two years after graduation than on wages six years after graduation.
Mathematical Modeling and Simulation of Radial Temperature Profile of Strontium Bromide Lasers
For metal and metal halide vapor lasers excited by high frequency
pulsed discharge, the thermal effect mainly caused by the radial temperature
distribution is of considerable importance for stable laser operation and
improvement of laser output characteristics. A short survey of the obtained
analytical and numerical-analytical mathematical models of the temperature
profile in a high-powered He-SrBr2 laser is presented. The models are described
by the steady-state heat conduction equation with mixed type nonlinear boundary
conditions for the arbitrary form of the volume power density. A complete model of
radial heat flow between the two tubes is established for precise calculating the
inner wall temperature. The models are applied for simulating temperature profiles
for newly designed laser. The author’s software prototype LasSim is used for
carrying out the mathematical models and simulations
Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
The gauge symmetry of the Standard Model is SU(3)_c x SU(2)_L x U(1)_Y for
unknown reasons. One aspect that can be addressed is the low dimensionality of
all its subgroups. Why not much larger groups like SU(7), or for that matter,
SP(38) or E7? We observe that fermions charged under large groups acquire much
bigger dynamical masses, all things being equal at a high e.g. GUT scale, than
ordinary quarks. Should such multicharged fermions exist, they are too heavy to
be observed today and have either decayed early on (if they couple to the rest
of the Standard Model) or become reliquial dark matter (if they don't). The
result follows from strong antiscreening of the running coupling for those
larger groups (with an appropriately small number of flavors) together with
scaling properties of the Dyson-Schwinger equation for the fermion mass.Comment: 15 pages, 17 plots. This version incorporates community as well as
referee comments. Accepted for publication in Nuclear Physics