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cond-mat.stat-mech2003
Two Combinatorial Models with identical Statics yet different Dynamics
David Lancaster
Motivated by the problem of sorting, we introduce two simple combinatorial models with distinct Hamiltonians yet identical spectra (and hence partition function) and show that the…
cond-mat.stat-mech2001
Cluster Growth in a Growing Tree Network
David Lancaster
We analyze a simple model for growing tree networks and find that although it never percolates, there is an anomalously large cluster at finite size. We study the growth of both th…