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We prove the (generalized) coherence conjecture of Pappas and Rapoport proposed in [PR3]. As a corollary, one of the main theorems in [PR4], which describes the geometry of the special fibers of the l...
Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions
Logarithmic tensor category theory Constructions of tensor product bifunctors and the compatibility conditions
2011/2/23
This is the fourth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
An infinite family of Legendrian torus knots distinguished by cube number
infinite family of Legendrian torus knots cube number
2011/2/24
For a knot K the cube number is a knot invariant de ned to be the smallest n for which
there is a cube diagram of size n for K.
Cyclic branched coverings of knots and quandle homology
quandle homology group homology cyclic branched covering
2011/2/22
We give a construction of quandle cocycles from group cocycles,especially quandle cocycles of the dihedral quandle Rp from group cocycles of the cyclic group Z/p.
Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries
blood flow computer modeling boundary conditions coupled multidomain method
2011/3/2
The simulation of blood flow and pressure in arteries requires outflow boundary conditions that incorporate models of downstream domains.
We show how the shared information between the past and future|the excess entropy|derives
from the components of directional information stored in the present|the predictive and retrodictive causal s...
This paper provides a full geometric development of a new technique called un-reduction, for dealing with dynamics and optimal control problems posed on spaces that are unwieldy for numerical implemen...
We investigate the connection between representations of posets and those of the corresponding (bound) quivers. As far as quivers are concerned, we concentrate on unitarizable representations which ar...
Shape theory via affine transformation: Some generalisations
Shape theory via affine transformation generalisations
2011/1/4
This work sets the statistical affine shape theory in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncen...
Let W be a finite Weyl group and A be the corresponding Weyl arrangement. A deformation of A is an affine arrangement which is obtained by adding to each hyperplane H ∈ A several parallel trans-lation...
Singular set of a Levi-flat hypersurface is Levi-flat
Singular set Levi-flat hypersurface Levi-flat
2011/3/1
We study the singular set of a singular Levi-flat real-analytic hypersurface.We prove that the singular set of such a hypersurface is Levi-flat in the appropriate sense.We also show that if the singul...
We propose a method which we call “Isotropic Entanglement” (IE), that takes inspiration
from Free Probability Theory and other ideas in Random Matrix Theory to predict the eigenvalue
distribution of...
Wrinkling hierarchy in constrained thin sheets from suspended graphene to curtains
constrained thin sheets suspended graphene curtains
2010/12/28
The drive towards miniaturization in technology is demanding for increasingly thinner components,raising new mechanical challenges [1]. Thin lms are however unstable to boundary or substrate-induced ...
Class A Spacetimes
Class A Spacetimes
2011/2/23
We introduce class A spacetimes, i.e. compact vicious spacetimes (M, g) such that the Abelian cover (M, g) is globally hyperbolic. We study the main properties of class A spacetimes using methods simi...
For a property and a family of sets F , let f(F, ) be the size of the largest subfamily of F having property . For a positive integer m, let f(m, ) be the mini...