Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration

Attention has recently focussed on stochastic population processes that can undergo total annihilation followed by immigration into state j at rate αj. The investigation of such models, called Markov branching processes with instantaneous immigration (MBPII), involves the study of existence and recurrence properties. However, results developed to date are generally opaque, and so the primary motivation of this paper is to construct conditions that are far easier to apply in practice. These turn out to be identical to the conditions for positive recurrence, which are very easy to check. We obtain, as a consequence, the surprising result that any MBPII that exists is ergodic, and so must possess an equilibrium distribution. These results are then extended to more general MBPII, and we show how to construct the associated equilibrium distributions.

Ireland after Rapid Immigration:The consequences of neglect

Essay review of:
Immigration and Schooling in the Republic of Ireland: Making a Difference?, by Dympna Devine . Manchester, UK: Manchester University Press, 2012. 186pp. $24.95 paper. ISBN: 9780719081026.
Immigration and Social Cohesion in the Republic of Ireland, by Bryan Fanning . Manchester, UK: Manchester University Press, 2011. 202pp. $24.95 paper. ISBN: 9780719084799.
Understanding Immigration in Ireland: State, Capital and Labour in a Global Age, by Steven Loyal . Manchester, UK: Manchester University Press, 2011. 283pp. $24.95 paper. ISBN: 9780719078316.

“Illegal Aliens” and the Inconspicuous Geographies of US Immigration and Border Policing within 100 Miles of the US-Canada Border

Legal provisions in the US have extended the idea of the border to the inside of US territory. Border Patrol Agents confront people in different spaces to inquire about their status. I examine border policing along the northern border of the United States through textual and discourse analysis. This thesis asks: How do border agents exercise power and control the movement of people within 100 miles of the border? In whose interest is the border, the “nation,” secured? The spaces in which these mobile borders are practiced become the sites where “citizens” and “aliens” are produced, reproduced and contested. These border policing practices create the illusion of a “nation” that is secured for “our” interests. However, the interests of these vulnerable groups are not reflected in the immigration policy and along the “border. Therefore the very existence of immigrants and their basic right to be in the US is undermined.