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DISCRETE AND CONTINUUM RELAXATION DYNAMICS OF FACETED CRYSTAL SURFACE IN EVAPORATION MODELS
crystal surface evaporation facet Burton–Cabrera–Frank model subgradient formalism free-boundary problem shock
2015/10/16
We study linkages of two scales in the relaxation of an axisymmetric crystal with a facet in evaporation-condensation kinetics. The macroscale evolution is driven by the motion of concentric circular,...
Discrete-Time Chaotic-Map Truly Random Number Generators: Design, Implementation, and Variability Analysis of the Zigzag Map
Truly Random Number Generator Current-Mode Circuits Switched-Current Technique Variability
2012/6/21
In this paper, we introduce a novel discrete chaotic map named zigzag map that demonstrates excellent chaotic behaviors and can be utilized in Truly Random Number Generators (TRNGs). We comprehensivel...
Open problems in local discrete holomorphic dynamics
local discrete holomorphic dynamics Dynamical Systems
2011/9/20
Abstract: This paper contains a selection, dictated by personal taste and by no means complete, of open problems in local discrete holomorphic dynamics.
Pure discrete spectrum in substitution tiling spaces
Pure discrete spectrum Tiling space Substitution
2011/9/14
Abstract: We introduce a procedure for establishing pure discrete spectrum for substitution tiling systems of Pisot family type and illustrate with several examples.
Discrete conservation laws and port-Hamiltonian systems on graphs and complexes
conservation laws port-Hamiltonian systems graphs and complexes Optimization and Control
2011/9/1
Abstract: In this paper we present a unifying geometric framework for modeling various sorts of physical network dynamics as port-Hamiltonian systems. Basic idea is to associate with the incidence mat...