The pattern dynamics of the one-way coupled logistic lattice which can serve as a phenomenological model for open ow is investigated and shown to be extremely rich. For medium and large coupling strengths, we nd spatially periodic, quasiperiodic and chaotic patterns with temporal periodicity and analyze their stability with the help of a newly introduced spatial map. Criteria are established fo...

We study the numerical solutions to semi-infinite-domain two-point boundary value problems and initial value problems. A smooth, strictly monotonic transformation is used to map the semiinfinite domain x ∈ 0,∞ onto a half-open interval t ∈ −1, 1 . The resulting finite-domain twopoint boundary value problem is transcribed to a system of algebraic equations using ChebyshevGauss CG collocation, wh...

We consider the inverse problem of determining a potential in semilinear elliptic equation from knowledge Dirichlet-to-Neumann map. For bounded Euclidean domains we prove that is uniquely determined by map measured at single boundary point, or integrated against fixed measure. This result valid even when Dirichlet data only given on small subset boundary. also give related uniqueness results Ri...

Let 0 → I → E → B → 0 be a short exact sequence of C*-algebras whereE is separable, I is quasidiagonal (QD) andB is nuclear, QD and satisfies the UCT. It is shown that if the boundary map ∂ : K1(B) → K0(I) vanishes then E must be QD also. A Hahn-Banach type property for K0 of QD C ∗-algebras is also formulated. It is shown that every nuclear QD C∗-algebra has this K0Hahn-Banach property if and ...

We propose a novel automatic salient object segmentation algorithm which integrates both bottom-up salient stimuli and object-level shape prior, i.e., a salient object has a well-defined closed boundary. Our approach is formalized as iterative energy minimization framework, leading to binary segmentation of the salient object. Such energy minimization is initialized with saliency map which is c...

One of the primary objectives of MAP was to understand the generation of gravity waves from high complex terrain, and the breakdown of those waves. Several weak to moderate gravity wave events during the MAP field phase were studied with a remarkable fleet of research aircraft equipped with GPS navigation, gust probes, dropsondes and downlooking LIDAR. These data sets have been carefully analyz...

In a previous paper [10] we developed an interior regularity theory for energy minimizing harmonic maps into Riemannian manifolds. In the first two sections of this paper we prove boundary regularity for energy minimizing maps with prescribed Dirichlet boundary condition. We show that such maps are regular in a full neighborhood of the boundary, assuming appropriate regularity on the manifolds,...

The extraction of a 3D topological map from an Oriented Boundary Graph can be needed to re ne a 3D Split and Merge segmentation using topological information such as the Euler characteristic of regions. A presegmentation could thus be e ciently obtained using a light structuring model, before proceeding to the extraction of more information on some regions of interest. In this paper, we present...

We review some aspects of three-dimensional quantum gravity with emphasis in the ‘CFT → Geometry’ map that follows from the BrownHenneaux conformal algebra. The general solution to the classical equations of motion with anti-de Sitter boundary conditions is displayed. This solution is parametrized by two functions which become Virasoro operators after quantisation. A map from the space of state...

We process snapshots of trajectories of evolution equations with intrinsic symmetries, and demonstrate the use of recently developed eigenvector-based techniques to successfully quotient out the degrees of freedom associated with the symmetries in the presence of noise. Our illustrative examples include a one-dimensional evolutionary partial differential (the Kuramoto-Sivashinsky) equation with...