1. The purpose of this note is to describe the extension of the almost everywhere convergence of Poisson integrals to the case of the bounded symmetric domains of Cartan. It is useful to realize such a bounded symmetric domain D as a generalized upper half-plane (i.e., a Siegel domain of type II), and this is done as follows. Let V1 and V2 be two finite-dimensional vector spaces over C. Assume ...

where F and B, with three indices, will denote the Lizorkin-Triebel space Fs p,q and the Besov space Bp,q, respectively. The different embeddings obtained here are under certain restrictions on the parameters. In this introduction, we will recall the definition of some spaces and some necessary tools. In Sections 2 and 3, we give the first contribution of this work. The theorems of Section 2 wi...

In this paper we look at a number of approaches for modeling the system acquisition process. Beginning with the waterfall model of Winston Royce, we continue with derivation that includes more intricate and detailed waterfall models with feedback, including the “V” and spiral models. In addition we look at several acquisition strategies. In reviewing the various models we discuss our view that ...

We prove the strong completeness for a class of non-degenerate SDEs, whose coefficients are not necessarily uniformly elliptic nor locally Lipschitz continuous nor bounded. Moreover, for each p > 0 there is a positive number T (p) such that for all t < T (p), the solution flow Ft(·) belongs to the Sobolev space W 1,p loc . The main tool for this is the approximation of the associated derivative...

In this paper, we present a deep neural network (DNN)-based acoustic scene classification framework. Two hierarchical learning methods are proposed to improve the DNN baseline performance by incorporating the hierarchical taxonomy information of environmental sounds. Firstly, the parameters of the DNN are initialized by the proposed hierarchical pre-training. Multi-level objective function is t...

For each pair of nonadjacent vertices in a graph, consider the greater of the degrees of the two vertices. The minimum of these maxima is a lower bound on the treewidth of a graph, unless it is a complete graph. This bound has three consequences. First, the obstructions of order w + 3 for treewidth w have a simple structural characterization. Second, these graphs are exactly the pathwidth obstr...

Guy Wood-Bradley

We describe a universal transition mechanism between annealed and quenched regimes in the context of reaction-diffusion in random media. We study the total population size for random walks which branch and annihilate on Z d , with time-independent random rates. The random walks are independent , continuous time, rate 2dκ, simple, symmetric, with κ ≥ 0. A random walk at x ∈ Z d , binary branches...