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Canonical frames for Gl(2)-structures
Gl(2)-structure frame bundle problem of equivalence ordinary differential equations
2011/1/18
We construct a canonical frame for an arbitrary Gl(2)-structure thus solving the equivalence problem for Gl(2)-structures. Our treatment includes also a problem of contact equivalence of ordinary diff...
On a Generalization of the Notion of Semidirect Product of Groups
Generalization Notion of Semidirect Product of Groups
2011/1/19
We introduce an external version of the internal r-fold semidirect product of groups (SDP) of [CC91]. Just as for the classical external SDP, certain algebraic data are required to guarantee associati...
On properties not inherited by monoids from their Schutzenberger groups
Complete rewriting systems Finitely presented groups and monoids Finiteness conditions
2011/1/20
We give an example of a monoid with finitely many left and right ideals, all of whose Sch¨utzenberger groups are presentable by finite complete rewriting systems, and so each have finite derivation ty...
On the viscosity to entropy density ratio for unitary Bose and Fermi Gases
entropy density unitary Bose Fermi Gases
2011/3/4
We calculate the ratio of the viscosity to the entropy density for both Bose and Fermi gases in the unitary limit using a new approach to the quantum statistical mechanics of gases based on the S-matr...
Entire functions for which the escaping set is a spider's web
Entire functions escaping set spider's web
2011/1/19
We construct several new classes of transcendental entire func-tions, f, such that both the escaping set, I(f), and the fast escaping set,A(f), have a structure known as a spider’s web. We show that s...
A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels
Unified MGF-Based Capacity Analysis Diversity Combiners Generalized Fading Channels
2011/1/21
Unified exact average capacity results for L-branch coherent diversity receivers including equal-gain combining (EGC) and maximal-ratio combining (MRC) are not known. This paper develops a novel gener...
Lyapunov spectrum for exceptional rational maps
Lyapunov spectrum exceptional rational maps
2011/1/21
We study the dimension spectrum for Lyapunov exponents for rational maps acting on the Riemann sphere and characterize it by means of the Legendre-Fenchel transform of the hidden variational pres-sure...
On sub-ideal causal smoothing filters
smoothing filters casual filters sub-ideal filters Hardy spaces
2011/3/1
Smoothing filters are studied for continuous time processes. The consideration is restricted by the linear causal filters represented as convolution integrals over the historical data. This filters ar...
A note on the Wehrheim-Woodward category
symplectic manifold canonical relation lagrangian submanifold
2011/1/17
Wehrheim and Woodward have shown how to embed all the canoni-cal relations between symplectic manifolds into a category in which the composition is the usual one when transversality and embedding assu...
On Taylor series and Kapteyn series of the first and second type
Kapteyn series Taylor series Bessel functions
2011/2/22
We study the relation between the coefficients of Taylor series and Kapteyn series representing the same function. We compute explicit formulas for expressing one in terms of the other and give exampl...
On the Spectral Efficiency of Links with Multi-antenna Receivers in Non-homogenous Wireless Networks
Spectral Efficiency of Links Multi-antenna Receivers Non-homogenous Wireless Networks
2011/1/19
An asymptotic technique is developed to find the Signal-to-Interference-plus-Noise-Ratio (SINR) and spectral efficiency of a link with N receiver antennas in wireless networks
with non-homogeneous di...
Selective ultrafilters are characterized by many equivalent properties,in particular the Ramsey property that every finite colouring of [N]2 has a homogeneous set U 2 U, and the equivalent property th...
The goal of this paper is to present a formalism that allows to handle fourfermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effect...
The SO(3) Kauffman polynomial and the chromatic polynomial of planar graphs are categorified by a unique extension of the Khovanov homology framework. Many structural observations and computations of ...
We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.