28,634 research outputs found
Orbit decomposition of Jordan matrix algebras of order three under the automorphism groups
The orbit decomposition is given under the automorphism group on the real
split Jordan algebra of all hermitian matrices of order three corresponding to
any real split composition algebra, or the automorphism group on the
complexification, explicitly, in terms of the cross product of H. Freudenthal
and the characteristic polynomial.Comment: v2, 32 pages, presentation improved, minor errors corrected, and the
title changed as appeared in J. Math. Sci. Univ. Toky
Quantitative and qualitative characteristics of greenery in suburban residential districts of Metro Manila
This case study was conducted to better understand the present situation of urban greenery in Marikina City, in the suburbs of metropolitan Manila, a typical large Asian city. A vegetation survey was conducted in residential districts of Marikina City, and the quantitative and qualitative characteristics of trees were analyzed. Lot size had some influence on the quantity of greenery in residential lots. In smaller lots, however, quantity did not increase in proportion to lot size. It appears, then, that the land-use controls for individual lots did not function effectively. Quantitative differences of greenery were related to qualitative differences, depending on the year or period of development of the residential area. In the newly developed residential lots, the greenery is comprised mostly of ornamental trees. Under the present circumstances, there is no assurance of sustaining the desired quantity of greenery in smaller residential lots. From these results, we proposed that regulations on lot size/coverage and promotion of tree planting involving local residents are needed to sustain urban greenery in residential districts
Polynomial Relations for q-Characters via the ODE/IM Correspondence
Let be the Borel subalgebra of a quantum affine algebra
of type (). Guided by the ODE/IM correspondence in
quantum integrable models, we propose conjectural polynomial relations among
the -characters of certain representations of
Freeness of adjoint linear systems on threefolds with terminal Gorenstein singularities or some quotient singularities
We generalize the result of Kawamata concerning the strong version of
Fujita's freeness conjecture for smooth 3-folds to some singular cases, namely,
Gorenstein terminal singularities and quotient singularities of type 1/r(1,1,1)
and of type 1/r(1,1,-1). We generalize furthermore the result of that to
projective threefolds with only canonical singularities for canonical and not
terminal singularities. It turns out that the estimates in the first three
cases are better than the one for the smooth case, which it is not in the
fourth case. We also give explicit examples which show the estimate in the
fourth case is necessarily worse than the one for the smooth case.Comment: 21 pages, Late
Goodness-of-Fit Tests for Symmetric Stable Distributions -- Empirical Characteristic Function Approach
We consider goodness-of-fit tests of symmetric stable distributions based on
weighted integrals of the squared distance between the empirical characteristic
function of the standardized data and the characteristic function of the
standard symmetric stable distribution with the characteristic exponent
estimated from the data. We treat as an unknown parameter,
but for theoretical simplicity we also consider the case that is
fixed. For estimation of parameters and the standardization of data we use
maximum likelihood estimator (MLE) and an equivariant integrated squared error
estimator (EISE) which minimizes the weighted integral. We derive the
asymptotic covariance function of the characteristic function process with
parameters estimated by MLE and EISE. For the case of MLE, the eigenvalues of
the covariance function are numerically evaluated and asymptotic distribution
of the test statistic is obtained using complex integration. Simulation studies
show that the asymptotic distribution of the test statistics is very accurate.
We also present a formula of the asymptotic covariance function of the
characteristic function process with parameters estimated by an efficient
estimator for general distributions
Some remarks on A_1^{(1)} soliton cellular automata
In this short note, we describe the A_1^{(1)} soliton cellular automata as an
evolution of a poset. This allows us to explain the conservation laws for the
A_1^{(1)} soliton cellular automata, one given by Torii, Takahashi and Satsuma,
and the other given by Fukuda, Okado and Yamada, in terms of the stack
permutations of states in a very natural manner. As a biproduct, we can prove a
conjectured formula relating these laws.Comment: 10 pages, LaTeX2
Connections and the Second Main Theorem for Holomorphic Curves
By means of -connections we will prove a general second main
theorem and some special ones for holomorphic curves. The method gives a
geometric proof of H. Cartan's second main theorem in 1933. By applying the
same method, we will prove some second main theorems in the case of the product
space (\pone)^2 of the Riemann sphere.Comment: 21 page
Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions
We present a theoretical foundation for the Index theorem in naive and
minimally doubled lattice fermions by studying the spectral flow of a Hermitean
version of Dirac operators. We utilize the point splitting method to implement
flavored mass terms, which play an important role in constructing proper
Hermitean operators. We show the spectral flow correctly detects the index of
the would-be zero modes which is determined by gauge field topology. Using the
flavored mass terms, we present new types of overlap fermions from the naive
fermion kernels, with a number of flavors that depends on the choice of the
mass terms. We succeed to obtain a single-flavor naive overlap fermion which
maintains hypercubic symmetry.Comment: 27 pages, 17 figures; references added, version accepted in JHE
Local Manipulation of Nuclear Spin in a Semiconductor Quantum Well
The shaping of nuclear spin polarization profiles and the induction of
nuclear resonances are demonstrated within a parabolic quantum well using an
externally applied gate voltage. Voltage control of the electron and hole wave
functions results in nanometer-scale sheets of polarized nuclei positioned
along the growth direction of the well. RF voltages across the gates induce
resonant spin transitions of selected isotopes. This depolarizing effect
depends strongly on the separation of electrons and holes, suggesting that a
highly localized mechanism accounts for the observed behavior.Comment: 18 pages, 4 figure
Quasi-morphisms on the group of area-preserving diffeomorphisms of the 2-disk via braid groups
Recently Gambaudo and Ghys proved that there exist infinitely many
quasi-morphisms on the group of
area-preserving diffeomorphisms of the 2-disk . For the proof, they
constructed a homomorphism from the space of quasi-morphisms on the braid group
to the space of quasi-morphisms on . In this paper, we study the homomorphism and prove its injectivity.Comment: 8pages. The title of the paper has been changed, to appear in Proc.
Amer. Math. So
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