quantifying spatial structure is one of the most important components, describing natural ecosystems and their biodiversity. in this study, a set of indices and functions related to spatial structure using 102 established plots with an area of 1000 m2 were presented. to achieve spatial structure of carpinus-fagus type, a set of indices (clark & evans, uniform angle, shannon-wiener, mingling and...

In this note, we prove the uniform resolvent estimate of discrete Schr\"odinger operator with dimension three. To do this, show a Fourier decay surface measure on Fermi surface.

A dimension decomposition (DIDE) method for multiple incoherent source localization using uniform circular array (UCA) is proposed. Due to the fact that far-field signal can be considered as state where range parameter of near-field infinite, algorithm also suitable estimating direction arrival (DOA) signals. By decomposing first and second exponent term steering vector, three-dimensional (3-D)...

Invariants of topological spaces of dimension three play a major role in many areas, in particular . . . Introduction by the Organisers The workshop Invariants of topological spaces of dimension three, organised by Max Muster (München) and Bill E. Xample (New York) was well attended with over 30 participants with broad geographic representation from all continents. This workshop was a nice blen...

Given a two-dimensional fractional multiplicative process (Ft)t∈[0,1] determined by two Hurst exponents H1 and H2, we show that there is an associated uniform Hausdorff dimension result for the images of subsets of [0, 1] by F if and only if H1 = H2.

This article proposes a new method to analyze the spatial structure of urban systems using ideas from fractals. Regarding a system of cities as a set of “particles” distributed randomly on a triangular lattice, we construct a spatial correlation function of cities. Suppose that the spatial correlation follows the power law. It can be proved that the correlation exponent is the second order gene...