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Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit
Dark vortex dynamic evolution two-dimensional discrete nonlinear schrodinger defocused model
2014/12/24
In this paper, we consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing discrete nonlinear Schrödinger model, a model of interest both ...
Existence and spatial limit theorems for lattice and continuum particle systems
Interacting particle system functional central limit theorem point process
2009/5/18
We give a general existence result for interacting particle systems with local interactions and bounded jump rates but noncompact state space at each site. We allow for jump events at a site that affe...
Consistent reasoning about a continuum of hypotheses on the basis of finite evidence
Consistent reasoning continuum of hypotheses basis of finite evidence
2010/4/29
In the modern Bayesian view classical probability theory is simply an extension of conventional
logic, i.e., a quantitative tool that allows for consistent reasoning in the presence of uncertainty.Cl...