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Spectral comparisons between networks with different conductance functions
Dirichlet form graph energy discrete potential theory graph Laplacian weighted graph trees spectral graph theory resistance network
2011/9/6
Abstract: For a network consisting of a graph with edge weights prescribed by a given conductance function $c$, we consider the effects of replacing these weights with a new function $b$ that satisfie...
Conductance and Thermopower of Ballistic Andreev Cavities
Conductance Thermopower of Ballistic Andreev Cavities
2010/12/28
When coupling a superconductor to a normal conducting region the physical properties of the
system are highly affected by the superconductor. We will investigate the effect of one or two
superconduc...
Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
Largest Schmidt eigenvalue entangled random pure states conductance distribution
2010/12/15
A strategy to evaluate the distribution of the largest Schmidt eigenvalue for entangled random pure states of bipartite systems is proposed. We point out that the multiple integral defining the sought...