Brain mapping techniques pair similar anatomical information across individuals. In this context, spatial normalization is mainly used to reduce inter-subject differences to improve comparisons. These techniques may benefit from anatomically identified landmarks useful to drive the registration. Automatic labeling, classification or segmentation techniques provide such labels. Most of these app...

This paper suggests a decentralized adaptive sliding mode formation procedure for affine nonlinear multi-quadrotor under a fixed directed topology wherever the followers are conquered by dynamical uncertainties. Compared with the previous studies which primarily concentrated on linear single-input single-output (SISO) agents or nonlinear agents with constant control gain, the proposed method is...

The copying of processes is limited in the context of distributed computation, either as a fact of life, often because remote networks are simply too complicated to have control over, or deliberately, as in the design of security protocols. Roughly, linearity is about how to manage without a presumed ability to copy. The meaning and mathematical consequences of linearity are studied for path-ba...

Let ∆ be a Euclidean n-simplex and let {∆j} denote a finite union of simplices which partition ∆. We assume that the partition is invariant under the affine symmetry group of ∆. A classical example of such a partition is the one obtained from barycentric subdivision, but there are plenty of other possibilities. (See §4.1, or else [Sp, p. 123], for a definition of barycentric subdivision.) Our p...

‎Many optimization problems can be reduced to a problem with an increasing and co-radiant objective function by a suitable transformation of variables. Functions, which are increasing and co-radiant, have found many applications in microeconomic analysis. In this paper, the abstract convexity of positive valued affine increasing and co-radiant (ICR) functions are discussed. Moreover, the ...

Abstract Gibbs manifolds are images of affine spaces symmetric matrices under the exponential map. They arise in applications such as optimization, statistics and quantum physics, where they extend ubiquitous role toric geometry. The variety is zero locus all polynomials that vanish on manifold. We compute these show low-dimensional. Our theory applied to a wide range scenarios, including matri...

We study the repetition of patches in self-affine tilings R^d. In particular, we existence and non-existence arithmetic progressions. first show that an condition expansion map for a tiling implies certain one-dimensional Next, full-rank infinite progressions, pure discrete dynamical spectrum, limit periodicity are all equivalent class tilings. finish by giving complete picture existence/non-ex...

Abstract The 2-dimensional Lyness map is a 5-periodic birational of the plane which may famously be resolved to give an automorphism log Calabi–Yau surface, given by complement anticanonical pentagon $$(-1)$$ ( - 1 ) -curves in del Pezz...