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Scalable Frames and Convex Geometry
Scalable frames tight frames preconditioning Farkas’s lemma
2015/12/10
The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight...
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE
SYMPLECTIC GEOMETRY POLYGONS 3-SPHERE
2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE
SYMPLECTIC GEOMETRY POLYGONS HYPERBOLIC 3-SPACE
2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE.
The Toric Geometry of Triangulated Polygons in Euclidean Space
Toric Geometry Triangulated Polygons Euclidean Space
2015/10/14
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
Symplectic Geometry Polygons Euclidean Space
2015/10/14
The Symplectic Geometry of Polygons in Euclidean Space.
Crooked planes were defined by Drumm to bound fundamental polyhedra in Minkowski space for Margulis spacetimes.
They were extended by Frances to closed polyhedral surfaces in the
conformal com...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
This paper is an informal discussion of how geometry and numerical analysis
are intertwined in the computational study of dynamical systems and their bifurcations.
We use the example of determining ...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
We prove that all proper rigid-analytic spaces with \enough" algebraically independent meromorphic functions are algebraic (in the sense of proper algebraic spaces). This is a non-archimedean analogue...
Sub-Geometries of Lie Sphere Differential Geometry
Sub-Geometries Lie Sphere Differential Geometry
2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
Geometric Meanings of Curvatures in Finsler Geometry
Geometric Meanings of Curvatures Finsler Geometry
2015/3/24
Geometric Meanings of Curvatures in Finsler Geometry.
Enumerative Geometry on Enriques surfaces.