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Sensitivity to noise and ergodicity of an assembly line of cellular automata that classifies density
Statistical Mechanics (cond-mat.stat-mech) Disordered Systems and Neural Networks (cond-mat.dis-nn) Cellular Automata and Lattice Gases (nlin.CG)
2010/11/10
We investigate the sensitivity of the composite cellular automaton of H. Fuk\'{s} (Phys. Rev. E 55, R2081 (1997)) to noise and assess the density classification performance of the resulting probabilis...
Spectral Statistics of "Cellular" Billiards
Chaotic Dynamics(nlin.CD) Mathematical Physics(math-ph) Spectral Theory(math.SP)
2010/11/10
For a bounded planar domain $\Omega^0$ whose boundary contains a number of flat pieces $\Gamma_i$ we consider a family of non-symmetric billiards $\Omega$ constructed by patching several copies of $\O...