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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Yun Sung Choi
Volume & Issues
Volume 36, Issue 6 - Nov 1999
Volume 36, Issue 5 - Sep 1999
Volume 36, Issue 4 - Jul 1999
Volume 36, Issue 3 - Mar 1999
Volume 36, Issue 2 - Mar 1999
Volume 36, Issue 1 - Jan 1999
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1
3-DIMENSIONAL NON-COMPACT INFRA-NILMANIFOLDS
Kim, Ki-Heung ; Im, Sung-Mo ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 1~13
Abstract
Let G be the 3-dimensional Heisenberg group. A discrete subgroup of Isom(G), acting freely on G with non-compact quotient, must be isomorphic to either 1, Z, Z2 or the fundamental group of the Klein bottle. We classify all discrete representations of such groups into Isom(G) up to affine conjugacy. This yields an affine calssification of 3-dimensional non-compact infra-nilmanifolds.
2
THE DIMENSION OF THE RECTANGULAR PRODUCT OF LATTICES
Bae, Deok-Rak ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 15~36
Abstract
In this paper, we determine the dimension of the rectangular product of certain finite lattices. In face, if L1 and a L2 be finite lattices which satisfy the some conditions, then we have dim (L1
L2) = dim(L1) + dim(L2) - 1.
3
THE STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF PAIRWISE QUADRANT DEPENDENT RANDOM VARIABLES
Kim, Tae-Sung ; Baek, Jong-Il ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 37~49
Abstract
We derive the almost sure convergence for weighted sums of random variables which are either pairwise positive quadrant dependent or pairwise positive quadrant dependent or pairwise negative quadrant dependent and then apply this result to obtain the almost sure convergence of weighted averages. e also extend some results on the strong law of large numbers for pairwise independent identically distributed random variables established in Petrov to the weighted sums of pairwise negative quadrant dependent random variables.
4
FLYPES OF CLOSED 3-BRAIDS IN THE STANDARD CONTACT SPACE
Ko, Ki-Hyoung ; Lee, Sang-Jin ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 51~71
Abstract
We classify all conjugacy classes of 3-braids that are related by flypes on representatives. Among them we determine which classes have representatives that admit both (+) and (-) flypes as an effort to search for a potential example of a pair of transversal knots that are topologically isotopic and have the same Bennequin number but are not transversally isotopic.
5
ROUGH ISOMETRY, HARMONIC FUNCTIONS AND HARMONIC MAPS ON A COMPLETE RIEMANNIAN MANIFOLD
Kim, Seok-Woo ; Lee, Yong-Han ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 73~95
Abstract
We prove that if a given complete Riemannian manifold is roughly isometric to a complete Riemannian manifold satisfying the volume doubling condition, the Poincar inequality and the finite covering condition at infinity on each end, then every positive harmonic function on the manifold is asymptotically constant at infinity on each end. This result is a direct generalization of those of Yau and of Li and Tam.
6
REDUCED CROSSED PRODUCTS BY SEMIGROUPS OF AUTOMORPHISMS
Jang, Sun-Young ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 97~107
Abstract
Given a C-dynamical system (A, G,
) with a locally compact group G, two kinds of C-algebras are made from it, called the full C-crossed product and the reduced C-crossed product. In this paper, we extend the theory of the classical C-crossed product to the C-dynamical system (A, G,
) with a left-cancellative semigroup M with unit. We construct a new C-algebra A
rM, the reduced crossed product of A by the semigroup M under the action
and investigate some properties of A
rM.
7
CODIMENSION REDUCTION FOR REAL SUBMANIFOLDS OF QUATERNIONIC PROJECTIVE SPACE
Kwon, Jung-Hwan ; Pak, Jin-Suk ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 109~123
Abstract
In this paper we prove a reduction theorem of the codimension for real submanifold of quaternionic projective space as a quaternionic analogue corresponding to those in Cecil [4], Erbacher [5] and Okumura [9], and apply the theorem to quaternionic CR- submanifold of quaternionic projective space.
8
MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE ALMOST EVERYWHERE
Paeng, Seong-Hun ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 125~137
Abstract
Under the condition of RicM
-(n-1), injM
I0, we prove the existence of an
>0 such that on the region of volume
>0 the curvature condition of splitting theorem can be weakened.
9
LAW OF LARGE NUMBERS FOR BRANCHING BROWNIAN MOTION
Kang, Hye-Jeong ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 139~157
Abstract
Consider a supercritical Bellman-Harris process evolving from one particle. We superimpose on this process the additional structure of movement. A particle whose parent was at x at its time of birth moves until it dies according to a given Markov process X starting at x. The motions of different particles are assumed independent. In this paper we show that when the movement process X is standard Brownian the proportion of particles with position
{{{{ SQRT { t} }}}} b and age
a tends with probability 1 to A(a)
(b) where A(.) and
(.) are the stable age distribution and standard normal distribution, respectively. We also extend this result to the case when the movement process is a Levy process.
10
A STABILITY RESULT FOR THE COMPRESSIBLE STOKES EQUATIONS USING DISCONTINUOUS PRESSURE
Kweon, Jae-Ryong ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 159~171
Abstract
We formulate and study a finite element method for a linearized steady state, compressible, viscous Navier-Stokes equations in 2D, based on the discontinuous Galerkin method. Dislike the standard discontinuous galerkin method, we do not assume that the triangle sides be bounded away from the characteristic direction. the unique stability follows from the inf-sup condition established on the finite dimensional spaces for the (incompressible) Stokes problem. An error analysis having a jump discontinuity for pressure is shown.
11
FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF BOUNDARY OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES FLOWS THROUGH A CHANNEL WITH STEPS
Lee, Hyung-Chun ; Lee, Yong-Hun ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 173~192
Abstract
We study a boundary optimal control problem of the fluid flow governed by the Navier-Stokes equations. the control problem is formulated with the flow through a channel with steps. The first-order optimality condition of the optimal control is derived. Finite element approximations of the solutions of the optimality system are defined and optimal error estimates are derived. finally, we present some numerical results.
12
CONVOLUTION OPERATORS WITH THE AFFINE ARCLENGTH MEASURE ON PLANE CURVES
Choi, Young-Woo ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 193~207
Abstract
Let
: Ilongrightarrow R2 be a sufficiently smooth curve and
be the affine arclength measure supported on
. In this paper, we study the Lp - improving properties of the convolution operators T
associated with
for various curves
. Optimal results are obtained for all finite type plane curves and homogeneous curves (possibly blowing up at the origin). As an attempt to extend this result to infinitely flat curves we give and example of a family of flat curves whose affine arclength measure has same Lp-improvement property. All of these results will be based on uniform estimates of damping oscillatory integrals.
13
PARALLEL BLOCK ILU PRECONDITIONERS FOR A BLOCK-TRIDIAGONAL M-MATRIX
Yun, Jae-Heon ; Kim, Sang-Wook ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 209~227
Abstract
We propose new parallel block ILU (Incomplete LU) factorization preconditioners for a nonsymmetric block-tridiagonal M-matrix. Theoretial properties of these block preconditioners are studied to see the convergence rate of the preconditioned iterative methods, Lastly, numerical results of the right preconditioned GMRES and BiCGSTAB methods using the block ILU preconditioners are compared with those of these two iterative methods using a standard ILU preconditioner to see the effectiveness of the block ILU preconditioners.
14
MEASURE DERIVATIVE AND ITS APPLICATIONS TO
-MULTIFRACTALS
Kim, Tae-Sik ; Ahn, Tae-Hoon ; Kim, Gwang-Il ;
Journal of the Korean Mathematical Society, volume 36, issue 1, 1999, Pages 229~241
Abstract
The fractal space is often associated with natural phenomena with many length scales and the functions defined on this space are usually not differentiable. First we define a
-multifractal from
-iterated function systems with probability. We introduce the measure derivative through the invariant measure of the
-multifractal. We show that the non-differentiable function on the
-multifractal can be differentiable with respect to this measure derivative. We apply this result to some examples of ordinary differential equations and diffusion processes on
-multifractal spaces.