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Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is d...
In our previous work [20],[21] we introduced a correction to the mean eld approximation of interacting Bosons. This correction describes the evolution of pairs of particles that leave the condensat...
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE.
Speyer and Sturmfels associated Grobner toric degenerations Gr¨2(Cn)T of Gr2(Cn) witheach trivalent tree T having n leaves. These degenerations induce toric degenerations Mr T of Mr, the space of n or...
The Symplectic Geometry of Polygons in Euclidean Space.
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
We study the local geometry of irreducible parabolic geometries admitting strongly essential ows; these are ows by local automorphisms with higher-order xed points. We prove several new rigidit...
We use the general theory developed in our article [1] in the setting of parabolic geometries to reprove known results on special in nitesimal automorphisms of projective and conformal geometries.
We study vector elds generating a local ow by automorphisms of a parabolic geometry with higher order xed points. We develop general tools extending the techniques of [1], [2], and [3], and we a...
We study conformal actions of connected nilpotent Lie groups on compact pseudo-Riemannian manifolds. We prove that if a type-(p,q) compact manifold M supports a conformal action of a connected nilpo...
We prove analogues for Cartan geometries of Gromov's major theorems on automorphisms of rigid geometric structures. The starting point is a Frobenius theorem, which says that in nitesimal automorphis...
The main motivation of this paper arises from classical questions about actions of Lie groups preserving a geometric structure: which Lie groups can act on a manifold preserving a given structure, a...
An action of the Steenrod algebra is constructed on the mod p Chow theory of varieties over a eld of characteristic di erent from p answering a question posed in Fulton's Intersection Theory. The a...

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