For a multi-set E of splits {bipartitions) of a finite set X, we introduce the multi-split graph G(E). This graph Is a natural extension of the Buneman graph. Indeed, it is shown that several results pertaining to the Buneman graph extend to the multi-split graph. In addition, in case E is derived from a set R of partitions of X by taking parts together with their complements, we show that the ...

A new technique, named DPOL MUM, is proposed for the segmentation of multi-frequency polarimetric SAR images. By following a Maximum Likelihood approach, an optimal split-merge test is derived, which fully exploits the characteristic block-diagonal structure of the data covariance matrix. This test is demonstrated to yield a reduced fluctuation error than the extension of the polarimetric test ...

Using ideas of S. Wassermann on non-exact C∗-algebras and property T groups, we show that one of his examples of non-invertible C∗-extensions is not semiinvertible. To prove this, we show that a certain element vanishes in the asymptotic tensor product. We also show that a modification of the example gives a C∗-extension which is not even invertible up to homotopy. Introduction The Brown–Dougla...

Light Linear Logic (LLL) of [Gir95] characterizes the polytime functions through a careful handling of structural inference rules of logic. Based on this purely logical approach, we give a characterization of the polyspace functions. Our logical system is an extension of Intuitionistic Light A ne Logic (ILAL) of [Asp98], a variant of LLL with full (unrestricted) weakening. We introduce the noti...

Let F be a finite extension of Qp. Using the mod p Satake transform, we define what it means for an irreducible admissible smooth representation of an F -split p-adic reductive group over Fp to be supersingular. We then give the classification of irreducible admissible smooth GLn(F )-representations over Fp in terms of supersingular representations. As a consequence we deduce that supersingular...

In this note, we introduce the notion of almost unramified representations quasi-split unitary groups even ranks with respect to an quadratic extension local fields, and study their behavior under theta correspondence. These are in some sense least ramified that have root number −1.

Kronecker descriptors are an efficient option to store the underlying Markov chain of a model in a structured and compact fashion. The basis of classical numerical solutions for Kronecker descriptors represented models is the VectorDescriptor Product (VDP). The Shuffle algorithm is the most popular VDP method to handle generalized descriptors, i.e., descriptors with functional elements. Recentl...

This work is devoted to the study of central extensions some solvable Leibniz superalgebras. We show that a superalgebra with non-null center can be obtained by extension other ones lower dimensions. Moreover, we describe for maximal Lie superalgebras nilradical which neither characteristically nilpotent in non-split case nor do not involve as term split case. Additionally, apply two different ...

In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic systems. 0. Introduction Let φ : X → X be a hyperbolic dynamical system and, for a finite G, let φ̃ : X̃ → X̃ be a G-extension for which φ̃ is also hyperbolic. Given φ we are interested in describing the possibilities for φ̃ in terms of the closed φ-orbits. This is analogous to a classic...

Based on multiresolution analysis (MRA) structures combined with the unitary extension principle (UEP), many frame wavelets were constructed, which are called UEP framelets. The aim of this letter is to derive general properties of UEP framelets based on the spectrum of the center space of the underlying MRA structures. We first give the existence theorem, that is, we give a necessary and suffi...