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A geometric construction for invariant jet differentials
De Bruijn Sequence Ford sequence preference function
2011/1/19
A nonbinary Ford sequence is a de Bruijn sequence generated by sim-ple rules that determine the priorities of what symbols are to be tried first, given an initial word of size n which is the order of ...
Prime end rotation numbers of invariant separating contunua of annular homeomorphisms
continuum rotation set prime end rotation number Brouwer line
2011/1/18
Let f be a homeomorphism of the closed annulus A isotopic to the identity, and let X IntA be an f-invariant continuum which separates A into two domains, the upper domain U+ and the lower domain U&#...
On invariant Gibbs measures conditioned on mass and momentum
Gibbs measure Schr¨odinger equation Kortweg-de Vries equation
2011/2/21
We construct a Gibbs measure for the nonlinear Schr¨odinger equation (NLS)on the circle, conditioned on prescribed mass and momentum:dμa,b = Z−1 1 {´T |u|2=a} 1 {i ´T uux=b}e±1
p &a...
On the speed of biased random walk in translation invariant percolation
speed of biased random translation invariant percolation
2011/2/21
For biased random walk on the infinite cluster in supercritical i.i.d.percolation on Z2, where the bias of the walk is quantified by a parameter > 1,it has been conjectured (and partly proved) that ...
We investigate higher-order geometric k-splines for template matching on Lie groups. This
is motivated by the need to apply diffeomorphic template matching to a series of images,
e.g., in longitudin...
Lie supergroups, unitary representations, and invariant cones
Lie supergroups unitary representations invariant cones
2011/1/21
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
Symmetric Invariant Subspaces of Complexifications of Linear Operators
Symmetric Invariant Subspaces Complexifications of Linear Operators
2011/2/22
Let T : X → X be a linear operator on a complex Banach space. Denote by (T ) and R(, T ) its spectrum and resolvent.
Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
gauge-invariant variables linear-order metric perturbations background spacetimes
2011/3/2
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant
contact homology of Legendrian knots maximal Thurston-Bennequin invariant
2011/2/25
We show that there exists a Legendrian knot with maximal Thurston-Bennequin invariant whose contact homology is trivial. We also provide another Legendrian knot which has the same knot type and classi...
Annular area preserving homeomorphisms which admit no interior compact invariant sets
Area preserving homeomorphisms rotation numbers fast approxi-mation by conjugation
2011/2/28
For any irrational number , there exists an ergodic area preserv-ing homeomorphism of the closed annulus which is isotopic to the identitity,admits no compact invariant set contained in the interior ...
Hyperbolicity of the invariant sets for the real polynomial maps
Cantor set Complex dynamic Hyperbolic Logistic map Polynomial map
2011/2/25
It is well known that for a > 4, the dynamical behaviors of the logistic map fa(x) = ax(1 − x) on the maximal invariant compact set are “simple”, which could be clearly explained by the theories...
New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity
New solutions $s\ell_q(2)$-invariant Yang-Baxter equations
2011/3/1
We have found new solutions to Yang-Baxter equations with R-matrices acquiring slq(2) symmetry
at roots of unity using indecomposable representations of the algebra.
A polynomial invariant and duality for triangulations
polynomial invariant duality for triangulations
2011/1/19
The Tutte polynomial G(X, Y ) of a graph G is a classical invariant,important in combinatorics and statistical mechanics. An important feature of the Tutte polynomial is the duality for planar graphs...
One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics
One-loop stress tensors for scalar spinor fields homogeneous spaces G-invariant metrics
2011/2/28
Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with G-invariant metrics using the orbits of coadjoint representation o...
Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation
Stochastic reaction-di usion equation Invariant measure Large deviations
2011/1/21
We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable
phases as boundary con...