In this note we review the consequences in linear scale-space of rescaling a signal; the contents of this note are primarily adapted from the presentation in (Lindeberg, 1998). The results presented in this note play a central role in the formulation of scale invariant interest point detectors (e

the current round of globalisatio n is premised, such as urban-regional agglomera-tions and territor ial states. This article argues that processe s of reterritor ialisatio nÐ the re-con ® guration and re-scaling of forms of territor ial organisation such as cities and statesÐ constitute an intrinsic moment

to derive a nonlinear rescaling process that is connected to the linear isotropic rescaling process by an one-to-one mapping. In order to study the scale space generated by this nonlinear rescaling process, we propose to use the linear rescaling process.

be productively explored within future work on state rescaling—logics of explanation, comparative analyses and questions of periodization. Key words: state space, state rescaling, political economy of scale, periodization JEL Classifications: B5, F59, R38 Recent work on state rescaling has opened up some

In 1971, Meyer showed how one could use the compensator to rescale a multivari-ate point process, forming independent Poisson processes with intensity one. Meyer’s result has been generalized to multi-dimensional point processes. Here, we explore gen-eralization of Meyer’s theorem to the case

... explosion of spaces” was occurring in which inherited geographies of capitalism and state power were being dramatically rewoven. The phrase “explosion ” (l’éclatement) appears frequently in Lefebvre‟s writings of this period, and connotes a radical unsettling of not only of established

governance is back on the agenda. Since the early 1990s, new forms of city–suburban cooperation, regional coordination, regionwide spatial planning and metropolitan institutional organization have been promoted in major western European city–regions. In contrast to the forms of metropolitan governance that prevailed during the Fordist-Keynesian period – which emphasized administrative modernization, interterritorial equalization and the efficient delivery of public services – the newest wave of metropolitan governance reform is focused upon economic priorities such as promoting territorial competitiveness and attracting external capital investment in the context of supraregional trends such as globalization, European integration and intensified interspatial competition. In short, metropolitan governance is today increasingly being mobilized as a mechanism of economic development policy through which national and local political-economic elites are attempting to enhance place-

. Given a Z d topological Markov shift \Sigma and a d \Theta d integer matrix M with det(M) 6= 0, we introduce the M-rescaling of \Sigma, denoted \Sigma (M) . We show that some (internal) power of the Z d -action on \Sigma (M) is isomorphic to some (Cartesian, or external) power of \Sigma

This article is concerned with the environmental dimensions of rescaling. Specifically, it explores debates around centralization and decentralization, introduces a key distinction between rescaling to jurisdictional spaces and ecosystem spaces, and suggests three future research trajectories: (1

We show that a sequence of voter models, suitably rescaled in space and time, converges weakly to super-Brownian motion. The result includes both nearest neighbor and longer range voter models and complements a limit theorem of Mueller and Tribe in one dimension.