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The 2-group of symmetries of a split chain complex
2-group of symmetries split chain complex
2011/1/19
We explicitly compute the 2-group of self-equivalences and (homotopy classes of) chain homotopies between them for any split chain complex A• in an arbitrary K-linear abelian category (K any com...
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...
American Step-Up and Step-Down Credit Default Swaps under Levy Models
optimal stopping credit default swaps step-up and step-down options
2011/3/2
This paper studies the valuation of a class of credit default swaps (CDSs) with the embedded
option to switch to a different premium and notional principal anytime prior to a credit event.
The symmetric projective varieties of rank one are all smooth and Fano by a classic result of Akhiezer. We classify the locally factorial (respectively smooth) projective symmetric G-varieties of rank...
On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds
Morse theory negative gradient dynamics Hilbert manifold
2011/2/21
This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of ow lines, manifold structures of certain compacti-
ed moduli spa...
A note on the border of an exponential family
Algebraic Statistics Convex Support Extended Exponential Family
2011/1/17
Limits of densities belonging to an exponential family appear in many applications, e.g. Gibbs models in Statistical Physics, relaxed combinatorial optimization,coding theory, critical likelihood comp...
A proof of the Jordan canonical form, suitable for a first course in linear algebra, is given. The proof includes the uniqueness of the number and sizes of the Jordan blocks. The value of the customar...
This paper deals with well-known notion of PF-rings, that is, rings in which principal ideals are flat. We give a new characterization of PF-rings. Also, we provide a necessary and sufficient conditio...
Metric operators for non-Hermitian quadratic su(2) Hamiltonians
Metric operators non-Hermitian quadratic su(2) Hamiltonians
2011/3/1
A class of non-Hermitian quadratic su(2) Hamiltonians that ful l an anti-linear symmetry is constructed. If unbroken this anti-linear symmetry leads to a purely real spectrum and the Hamiltonian can b...
The distribution of gaps for saddle connection directions
distribution of gaps saddle connection directions
2011/2/23
Motivated by the study of billiards in polygons, we prove fine results for the distribution of gaps of directions of saddle connections on translation surfaces.
If K is a knot or link in R3 and S R3 is a smoothly embedded 2-sphere meeting K transversely in 4-points, then one can form a new knot or link K′ as follows. One cuts R3 along S and then glues the t...
We present a detailed analysis of results from a new study of the quantum evaporation of Callan-Giddings-Harvey-Strominger (CGHS) black holes within the mean field approximation. This semi-classical t...
We present a mathematical connection between channel coding and compressed sensing.
Characterizations of gamma-AG^{**}-groupoids by the properties their gamma-ideals
Gamma-AG-groupoids Gamma ideals regular Gamma AG-groupoids
2011/1/19
In this paper we have discusses -left, -right, -bi-, -quasi-, -interior and -ideals in -AG-groupoids and regular -AG...
The Tanno-Theorem for Kählerian metrics with arbitrary signature
Tanno-Theorem Kä hlerian metrics arbitrary signature
2011/1/18
Considering a non-constant smooth solution f of the Tanno equation on a closed,connected K¨ahler manifold (M, g, J) with positively definite metric g, Tanno showed that the manifold can be finitely co...