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Structural Analysis of Laplacian Spectral Properties with Application to Electric Transmission Networks
Laplacian Spectral Properties Electric Transmission Networks Optimization and Control
2011/9/22
Abstract: The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynamical problems associated with the network, from transient stability analysis of power networks to d...
Properties of sub-matrices of Sylvester matrices and triangular toeplitz matrices
Sylvester matrices triangular toeplitz matrices Optimization and Control
2011/9/21
Abstract: In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's identity disc...
Characterizing Multi-Scale Self-Similar Behavior and Non-Statistical Properties of Financial Time Series
Non-stationary Time Series Wavelet Transform Fractals Power Law
2010/4/27
We make use of wavelet transform to study the multi-scale, self similar behavior and deviations thereof, in the stock prices of large companies, belonging to different economic sectors. The stock mark...
Asymptotic Properties of Optimal Trajectories in Dynamic Programming
Asymptotic Properties of Optimal Trajectories Dynamic Programming
2011/2/25
We show in a dynamic programming framework that uniform convergence of the finite horizon values implies that asymptotically the average accumulated payoff is constant on optimal trajectories. We anal...
On 2-Factors with Prescribed Properties in a Bipartite Graph
Bipartite graph Vertex-disjoint Quadrilateral 2-Factor
2007/12/12
Liu and Yan gave the degree condition for a balanced bipartite graph $G=(V_1,V_2;E)$ to have $k$ vertex-disjoint quadrilaterals containing any given $k$ independent edges $e_1,\ldots, e_k$ of $G$, res...
