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The graph limit of the minimizer of the Onsager-Machlup functional and its computation
The Onsager-Machlup (OM) functional is well known for characterizing the most probable transition path of a diffusion process with non-vanishing...
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Dynamics on the Double Morse Potential: A Paradigm for Roaming Reactions with no Saddle Points
In this paper we analyze a two-degree-of-freedom Hamiltonian system constructed from two planar Morse potentials. The resulting potential energy...
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Stability of continuous wave solutions of one laser model with large delay
Analysis of a delay differential laser model with large delay is presented. Sufficient conditions for existence of continuous wave solutions are...
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Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities
We prove that the Lyapunov exponent of quasi-periodic cocycles with singularities behaves continuously over the analytic category. We thereby...
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Certain aspects of regularity in scalar field cosmological dynamics
We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of...
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Quasiperiodic Dynamics in Bose-Einstein Condensates in Periodic Lattices and Superlattices
We employ KAM theory to rigorously investigate quasiperiodic dynamics in cigar-shaped Bose-Einstein condensates (BEC) in periodic lattices and...
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Light, Atoms, and Singularities
Motivated by questions concerning cooling and trap** of atoms using counterpropagating laser beams we consider continuous time Markovian jump...