This study presents a practical methodology to monitor the spatiotemporal characteristics of urban expansion in response to rapid urbanization at the provincial scale by integrating remote sensing, urban built-up area boundaries, spatial metrics and spatial regression. Sixty-seven cities were investigated to examine the differences of urbanization intensity, urbanization patterns and urban land...

Urban sprawl has been at the center of current debate on urban structure. Compared to the rich literature on urban sprawl in Western cities, relatively little is known about whether Chinese urban expansion is excessive or inefficient. This paper provides an integrated analysis of two seemingly contradictory phenomena in China’s urban development in recent two decades, namely development zones a...

In recent years, impervious surface has emerged not only as an indicator of the degree of urbanization but also a major indicator of environmental quality. As one of the most important industry cities, Shanghai is rapidly increasing in population and area. The impervious surface expansion occurs through the encroachment into the adjacent and suburb land. Extracting information of impervious sur...

The expansion and growth of cities is a remarkable phenomenon in urban planning literature,so that unpredictable developments have become more evident in recent decades, especially in cities that haveundergone changes in their physical structure following the promotion of their political role. The present paper seeksto identify the factors driving growth in the developed areas of Ardebil city a...

It was recently discovered by Baik, Deift and Johansson [4] that the asymptotic distribution of the length of the longest increasing subsequence in a permutation chosen uniformly at random from Sn, properly centred and normalised, is the same as the asymptotic distribution of the largest eigenvalue of an n × n GUE random matrix, properly centred and normalised, as n → ∞. This distribution had e...

In a famous paper 8] Hammersley investigated the length L n of the longest increasing subsequence of a random n-permutation. Implicit in that paper is a certain one-dimensional continuous-space interacting particle process. By studying a hydrodynamical limit for Hammersley's process we show by fairly \soft" arguments that limn ?1=2 EL n = 2. This is a known result, but previous proofs (Vershik-...

We compute the limit distribution for the (centered and scaled) length of the longest increasing subsequence of random colored permutations. The limit distribution function is a power of that for usual random permutations computed recently by Baik, Deift, and Johansson (math.CO/9810105). In the two–colored case our method provides a different proof of a similar result by Tracy and Widom about t...

Urban development in China has attracted considerable scholarly attention. However, more work is still needed to examine and understand the mechanisms of urban land expansion, especially within the context of globalization/marketization, decentralization and urbanization. This paper analyzes urban land expansion and structural changes in the Yangtze River Delta (YRD). We find that cities in the...

Connections between longest increasing subsequences in random permutations and eigenvalues of random matrices with complex entries have been intensely studied. This note applies properties of random elements of the finite general linear group to obtain results about the longest increasing subsequence in non-uniform random permutations.