Browsing Applied Mathematics by Title
Now showing items 3-22 of 145
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An approximate isoperimetric inequality for r-sets
(2013-11-08)We prove a vertex-isoperimetric inequality for [n]^(r), the set of all r-element subsets of {1,2,...,n}, where x,y \in [n]^(r) are adjacent if |x \Delta y|=2. Namely, if \mathcal{A} \subset [n]^(r) with |\mathcal{A}|=\alpha ... -
Backscattering-Induced Crossover in Deterministic Diffusion
(1996-07-07)We study diffusion in a one-dimensional periodic array of scatterers modeled by a simple map. The chaotic scattering process for this map can be changed by a control parameter and exhibits the dynamics of a crisis in chaotic ... -
Bounds on the Lyapunov Exponent via Crude Estimates on the Density of States
(Springer Science and Business Media LLC, 2015-09) -
Cartan invariants and event horizon detection
(2018-04) -
Complex Network Geometry and Frustrated Synchronization
(2018-07-02) -
Complex network view of evolving manifolds
(2018-03-27) -
Correlated edge overlaps in multiplex networks
(2016-07-06) -
Critical behavior at the dynamic Mott transition
We investigate magnetoresistance of a square array of superconducting islands placed on a normal metal, which offers a unique tunable laboratory for realizing and exploring quantum many-body systems and their dynamics. A ...