Gastronomy or Geology? The Role of Nationalism in the Reconstruction of Nations

Abstract. This article considers the debate that has recently developed in studies of nationalism between those scholars who see the nation as a modern and constantly changing construction ex nihilo and those who see it as an immemorial, unchanging communal essence. It outlines the so-called ‘gastronomical’ and ‘geological’ metaphors of nation formation and suggests a synthetic model which balances the influence of the ethnic past and the impact of nationalist activity. It shows that the central question which has divided theorists of nationalism is the place of the past in the life of modern nations. The author recognises the role of nationalists in national mobilisation but stresses that nationalists are not social engineers or mere image makers as modernist and post-modernist accounts would have it, but rather social and political archaeologists whose activities consist in the rediscovery and reinterpretation of the ethnic past and through it the regeneration of their national community.     

Gravity-Type Interactive Markov Models—Part II: Lyapunov Stability of Steady States

In Part I of this paper (Smith and Hsieh, 1997) a programming formulation of steady states was developed for gravity-type interactive Markov chains in terms of their associated spatial-flow chains. These results are here applied to analyze the stability properties of interactive Markov chains. In particular, the objective function for this programming formulation is shown to constitute a Lyapunov function for an appropriately defined continuous-time version of spatial-flow chains. The Lyapunov stability properties of these spatial flows are then shown to yield corresponding stability properties for the continuous-time versions of interactive Markov chains. In particular, these processes always exhibit global convergence to steady states. Finally, it is shown that when steady states are unique, these convergence results are inherited by those interactive Markov chains that are 'sufficiently close' to their continuous-time versions.