Browsing Applied Mathematics by Title
Now showing items 1-20 of 145
-
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)