207 citations · 582 across the 40 of their papers we have counts for
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math-ph2008★ 4 cited
A resonance theory for open quantum systems with time-dependent dynamics
Marco Merkli, Shannon Starr
We develop a resonance theory to describe the evolution of open systems with time-dependent dynamics. Our approach is based on piecewise constant Hamiltonians: we represent the evo…
math-ph2008★ 3 cited
Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound
Pierluigi Contucci, Shannon Starr
Using a correlation inequality of Contucci and Lebowitz for spin glasses, we demonstrate existence of the thermodynamic limit for short-ranged spin glasses, under weaker hypotheses…
math.PR2008★ 17 cited
Asymptotics of the Spectral Gap for the Interchange Process on Large Hypercubes
Matt Conomos, Shannon Starr
We consider the interchange process (IP) on the -dimensional, discrete hypercube of side-length . Specifically, we compare the spectral gap of the IP to the spectral gap of t…