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Showing 1 to 2 of 2 for “"Hierarchical Lattices"”.
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Direct imaging of self-assembly behaviors of colloids: from the microscale plates to the nanoscale cubes
… unconventional crystallization pathway into 3D hierarchical lattices from polydisperse colloids. Then I focus on a foundationally new imaging tool known as liquid-phase TEM for in-situ imaging of otherwise inaccessible solution-phase nanoparticle self-assembly dynamics at nanometer resolution. I …
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Some Connections Between Complex Dynamics and Statistical Mechanics
… called the {\em chromatic zeros} of $\Gamma$. A hierarchical lattice is a sequence of finite simple graphs $\{\Gamma_n\}_{n=0}^\infty$ built recursively using a substitution rule expressed in terms of a generating graph. For each $n$, let $\mu_n$ denote the probability measure that assigns a …