2,057 research outputs found
Parametric Analysis of Flexible Logic Control Model
Based on deep analysis about the essential relation between two input variables of normal two-dimensional fuzzy controller, we used universal combinatorial operation model to describe the logic relationship and gave a flexible logic control method to realize the effective control for complex system. In practical control application, how to determine the general correlation coefficient of flexible logic control model is a problem for further studies. First, the conventional universal combinatorial operation model has been limited in the interval [0,1]. Consequently, this paper studies a kind of universal combinatorial operation model based on the interval [a,b]. And some important theorems are given and proved, which provide a foundation for the flexible logic control method. For dealing reasonably with the complex relations of every factor in complex system, a kind of universal combinatorial operation model with unequal weights is put forward. Then, this paper has carried out the parametric analysis of flexible logic control model. And some research results have been given, which have important directive to determine the values of the general correlation coefficients in practical control application
A geometric approach to free variable loop equations in discretized theories of 2D gravity
We present a self-contained analysis of theories of discrete 2D gravity
coupled to matter, using geometric methods to derive equations for generating
functions in terms of free (noncommuting) variables. For the class of discrete
gravity theories which correspond to matrix models, our method is a
generalization of the technique of Schwinger-Dyson equations and is closely
related to recent work describing the master field in terms of noncommuting
variables; the important differences are that we derive a single equation for
the generating function using purely graphical arguments, and that the approach
is applicable to a broader class of theories than those described by matrix
models. Several example applications are given here, including theories of
gravity coupled to a single Ising spin (), multiple Ising spins (), a general class of two-matrix models which includes the Ising theory and
its dual, the three-state Potts model, and a dually weighted graph model which
does not admit a simple description in terms of matrix models.Comment: 40 pages, 8 figures, LaTeX; final publication versio
Matrix product formula for Macdonald polynomials
We derive a matrix product formula for symmetric Macdonald polynomials. Our
results are obtained by constructing polynomial solutions of deformed
Knizhnik--Zamolodchikov equations, which arise by considering representations
of the Zamolodchikov--Faddeev and Yang--Baxter algebras in terms of
-deformed bosonic operators. These solutions form a basis of the ring of
polynomials in variables, whose elements are indexed by compositions. For
weakly increasing compositions (anti-dominant weights), these basis elements
coincide with non-symmetric Macdonald polynomials. Our formulas imply a natural
combinatorial interpretation in terms of solvable lattice models. They also
imply that normalisations of stationary states of multi-species exclusion
processes are obtained as Macdonald polynomials at .Comment: 27 pages; typos corrected, references added and some better
conventions adopted in v
Distributed Spectral Efficiency Maximization in Full-Duplex Cellular Networks
Three-node full-duplex is a promising new transmission mode between a
full-duplex capable wireless node and two other wireless nodes that use
half-duplex transmission and reception respectively. Although three-node
full-duplex transmissions can increase the spectral efficiency without
requiring full-duplex capability of user devices, inter-node interference - in
addition to the inherent self-interference - can severely degrade the
performance. Therefore, as methods that provide effective self-interference
mitigation evolve, the management of inter-node interference is becoming
increasingly important. This paper considers a cellular system in which a
full-duplex capable base station serves a set of half-duplex capable users. As
the spectral efficiencies achieved by the uplink and downlink transmissions are
inherently intertwined, the objective is to device channel assignment and power
control algorithms that maximize the weighted sum of the uplink-downlink
transmissions. To this end a distributed auction based channel assignment
algorithm is proposed, in which the scheduled uplink users and the base station
jointly determine the set of downlink users for full-duplex transmission.
Realistic system simulations indicate that the spectral efficiency can be up to
89% better than using the traditional half-duplex mode. Furthermore, when the
self-interference cancelling level is high, the impact of the user-to-user
interference is severe unless properly managed.Comment: 7 pages, 3 figures, accepted in IEEE ICC 2016 - Workshop on Novel
Medium Access and Resource Allocation for 5G Network
Renyi entropies for classical stringnet models
In quantum mechanics, stringnet condensed states - a family of prototypical
states exhibiting non-trivial topological order - can be classified via their
long-range entanglement properties, in particular topological corrections to
the prevalent area law of the entanglement entropy. Here we consider classical
analogs of such stringnet models whose partition function is given by an
equal-weight superposition of classical stringnet configurations. Our analysis
of the Shannon and Renyi entropies for a bipartition of a given system reveals
that the prevalent volume law for these classical entropies is augmented by
subleading topological corrections that are intimately linked to the anyonic
theories underlying the construction of the classical models. We determine the
universal values of these topological corrections for a number of underlying
anyonic theories including su(2)_k, su(N)_1, and su(N)_2 theories
Exact solution of the dimer model: Corner free energy, correlation functions and combinatorics
In this work, some classical results of the pfaffian theory of the dimer
model based on the work of Kasteleyn, Fisher and Temperley are introduced in a
fermionic framework. Then we shall detail the bosonic formulation of the model
{\it via} the so-called height mapping and the nature of boundary conditions is
unravelled. The complete and detailed fermionic solution of the dimer model on
the square lattice with an arbitrary number of monomers is presented, and
finite size effect analysis is performed to study surface and corner effects,
leading to the extrapolation of the central charge of the model. The solution
allows for exact calculations of monomer and dimer correlation functions in the
discrete level and the scaling behavior can be inferred in order to find the
set of scaling dimensions and compare to the bosonic theory which predict
particular features concerning corner behaviors. Finally, some combinatorial
and numerical properties of partition functions with boundary monomers are
discussed, proved and checked with enumeration algorithms.Comment: Final version to be published in Nuclear Physics B (53 pages and a
lot of figures
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