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Optimizing Dominant Time Constant in RC Circuits
Optimizing Dominant Time Constant RC Circuits
2015/7/10
We propose to use the dominant time constant of a resistor-capacitor (RC) circuit as a measure of the signal propagation delay through the circuit. We show that the dominant time constant is a quasico...
On the Non-Convexity of the Time Constant in First-Passage Percolation
First-passage percolation timeconstant convexity
2009/5/11
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in first-passage percolation, as a functional on the space of distribution functions. T...
The time constant and critical probabilities in percolation models
Percolation time constant critical probabilities Delaunay triangulations
2009/4/22
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In this model each edge e of D is independently equipped with a nonnegative random variable, with distri...
The time constant and critical probabilities in percolation models
time constant critical probabilities percolation models
2009/4/2
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In this model each edge e of D is independently equipped with a nonnegative random variable, with distri...