We study the phases of near-extremal branes on a circle, by which we mean near-extremal branes of string theory and M-theory with a circle in their transverse space. We find a map that takes any static and neutral Kaluza-Klein black hole, i.e. any static and neutral black hole on Minkowski-space times a circle Md×S1, and map it to a corresponding solution for a near-extremal brane on a circle. ...

We consider a diffusive Coupled Map Lattice (CML) for which the local map is piece-wise affine and has two stable fixed points. By introducing a spatiotemporal coding, we prove the one-to-one correspondence between the set of global orbits and the set of admissible codes. This relationship is applied to the study of the (uniform) fronts’ dynamics. It is shown that, for any given velocity in [−1...

Topographic maps in visual processing areas maintain the spatial order of the visual world. Molecular cues and neuronal activity both play critical roles in map formation, but their interaction remains unclear. Here, we demonstrate that when molecular- and activity-dependent cues are rendered nearly equal in force, they drive topographic mapping stochastically. The functional and anatomical rep...

Let ⌦ be a set of cardinality n, G a permutation group on ⌦, and f : ⌦ ! ⌦ a map which is not a permutation. We say that G synchronizes f if the semigroup hG, fi contains a constant map. The first author has conjectured that a primitive group synchronizes any map whose kernel is non-uniform. Rystsov proved one instance of this conjecture, namely, degree n primitive groups synchronize maps of ra...

Aims. A method for constructing new uniform grids on the sphere is given. Methods. We define a bijection in R2, which maps squares onto discs and preserves areas. Then we use this bijection, combined with Lambert azimuthal projection, for lifting uniform grids from the square to the sphere. Results. We can obtain uniform spherical grids that allow a hierarchical data manipulation and have an is...

In on-demand map generation, a base-map is modified to meet the user requirements on scale, resolution, and other parameters. Since there are many ways of satisfying the requirement, we need a method of measuring the quality of the alternative maps. In this paper, we introduce a uniform framework for measuring the quality of generalized maps. The proposed Map Quality measure takes into account ...

We prove the non-uniform continuity of data-to-solution map incompressible Euler equations in Besov spaces, B p , q s where parameters and considered here are such that local existence uniqueness result holds.

We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised metric on X is a map from X ×X to the upper reals satisfying zero self-distance law and triangle inequality. For a symmetric generalised uniform...

In this paper, we propose an efficient continuous-time LiDAR-Inertial-Camera Odometry, utilizing non-uniform B-splines to tightly couple measurements from the LiDAR, IMU, and camera. contrast uniform B-spline-based methods, our B-spline approach offers significant advantages in terms of achieving real-time efficiency high accuracy. This is accomplished by dynamically adaptively placing control ...

In this article we give a uniform proof why the shift map on Floer homology trajectory spaces is scale smooth. This works for various homologies, periodic, Lagrangian, Hyperk\"ahler, elliptic or parabolic, and uses Hilbert space valued Sobolev theory.