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On reduced Beltrami equations and linear families of quasiregular mappings
Quasiregular mappings linear families elliptic PDEs
2010/12/6
We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G.Martin [4] on reduced Beltrami equations. Moreover, we use it to study differential expressions related to two-dimensional lin...
Linear Transceiver Design for Interference Alignment: Complexity and Computation
Linear Transceiver Interference Alignment: Complexity Computation
2010/12/8
Consider a MIMO interference channel whereby each transmitter and receiver are equipped with
multiple antennas. The basic problem is to design optimal linear transceivers (or beamformers) that can ma...
Subgroups of free idempotent generated semigroups: full linear monoid
Subgroups free idempotent generated semigroups: full linear monoid
2010/12/14
We develop some new topological tools to study maximal subgroups of free idempotent generated semigroups. As an application,we show that the rank 1 component of the free idempotent generated semigroup...
Asymptotic linear stability of solitary water waves
Asymptotic linear stability solitary water waves
2010/11/29
We prove an asymptotic stability result for the water wave equations linearized around
small solitary waves. The equations we consider govern irrotational flow of a fluid with constant density bounde...
A new formula for some linear stochastic equations with applications
Linear stochastic equation growth collapse process risk process
2010/12/8
We give a representation of the solution for a stochastic linear equation of the form Xt = Yt + R(0,t]Xs− dZs where Z is a c`adl`ag semimartingale and Y is a c`adl`ag adapted process with bounde...
A Lower Bound on the Estimator Variance for the Sparse Linear Model
Sparsity parameter estimation sparse linear model denoising
2010/12/8
We study the performance of estimators of a sparse nonrandom vector based on an observation which is linearly transformed and corrupted by additive white Gaussian noise.
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation
2010/11/29
Conditions for the second-order linear differential equation X3 i=0 a3,ixi ! y′′ + X2 i=0 a2,ixi ! y′− X1 i=0 τ1,ixi! y = 0 to have polynomial solutions are given. Several application of these r...
Linear Estimation of Location and Scale Parameters Using Partial Maxima
Partial Maxima BLUEs Location-scale family Partial Maxima Spacings
2010/12/1
Consider an i.i.d. sample X∗ 1 ,X∗ 2 , . . . ,X∗ n from a location-scale family.
Long Memory in a Linear Stochastic Volterra Differential Equation
Long Memory Linear Stochastic Volterra Differential Equation
2010/12/1
In this paper we consider a linear stochastic Volterra equation which has a stationary solution. We show that when the kernel of the fundamental solution is regularly varying at infinity with a log-co...
DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems
Drazin-inverse DGMRES Krylov subspace Itera-tive method Eigenvector
2010/12/10
The DGMRES method for solving Drazin-inverse solution of sin-gular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates.
Multi linear formulation of differential geometry and matrix regularizations
Multi linear formulation differential geometry matrix regularizations
2010/12/13
We prove that many aspects of the differential geometry of embed-ded Riemannian manifolds can be formulated in terms of multi linear algebraic structures on the space of smooth functions. In particula...
U-Quantile Processes and Generalized Linear Statistics of Dependent Data
L-Statistic U-statistics U-quantiles Bahadur representation mixing near epoch dependence
2010/12/14
Generalized linear statistics are a unifying class that contains U-statistics,U-quantiles, L-statistics as well as trimmed and winsorized U-statistics. For example, many commonly used estimators of sc...
An Iterative Joint Linear-Programming Decoding of LDPC Codes and Finite-State Channels
Iterative Joint Linear-Programming Decoding of LDPC Codes Finite-State Channels
2010/12/10
In this paper, we introduce an efficient method for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the a...
Lifting Tropical Curves in Space and Linear Systems on Graphs
Tropical Curves in Space Linear Systems Graphs
2010/12/2
Tropicalization is a procedure for associating a polyhedral complex to a subva-riety of an algebraic torus. We study the question on which graphs arise from tropicalizing algebraic curves. By using Ba...
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
wave equation two-point boundary value problem global exact controllability exact controllability Dirichlet boundary condition Neumann boundary condition hyperbolic curvature flow Gage-Hamilton’s theorem
2018/4/19
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For several kinds of impor...