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We study the harmonic map equations for maps of a Riemann surface into a Riemannian symmetric space of compact type from the point of view of soliton theory. There is a well-known dressing action of a...
Geometrical constraints imposed on higher-dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are shown to be described by...
In this work, we study two-dimensional Bose–Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal direction...
Let D be a nonempty open bounded subset of d 2 2, and let 0 < a c 2. For a-harmonic functions on D vanishing outside D an analogue of the Martin representation for harmonic functions is derived.
Let (X,} be a Lkvy process in Rd, d k 2, with infinite L6vy measure. If {X,) has no Gaussian component, then the process docs not hit the boundary of Lipschitz domain S c Rd at the first exit time ...
We establish in this paper an exact formula which links the dimension of the harmonic measure, the asymptotic entropy and the rate of escape for a random walk on a discrete subgroup of the isometry gr...

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