The critical contact process seen from the right edge

1991 ◽  
Vol 87 (3) ◽  
pp. 325-332 ◽  
Author(s):  
J. T. Cox ◽  
R. Durrett ◽  
R. Schinazi
1988 ◽  
Vol 25 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Herbert Ziezold ◽  
Christian Grillenberger

Instead of the basic contact process on with infection rate λ we consider for m ≧ 0 the Markov process starting with ξ0(k) = 1 for k ≧ 0 and ξ0(k)= 0 for k < 0 and with changing only those k which are at most m places to the right of the left-most infected cell. For m = 0, 1,· ··, 14 direct computations give critical values which are lower bounds for the critical value of the original basic contact process.


2004 ◽  
Vol 37 (44) ◽  
pp. 10497-10512 ◽  
Author(s):  
José J Ramasco ◽  
Malte Henkel ◽  
Maria Augusta Santos ◽  
Constantino A da Silva Santos

1994 ◽  
Vol 31 (1) ◽  
pp. 250-255 ◽  
Author(s):  
Gregory J. Morrow ◽  
Rinaldo B. Schinazi ◽  
Yu Zhang

We prove that the expected number of particles of the critical contact process on a homogeneous tree is bounded above. This is the first graph for which the behavior of the expected number of particles of the critical contact process is known. As an easy corollary of our result we get that the critical contact process dies out on any homogeneous tree. This completes the work of Pemantle (1992).


1990 ◽  
Vol 18 (4) ◽  
pp. 1462-1482 ◽  
Author(s):  
Carol Bezuidenhout ◽  
Geoffrey Grimmett

1988 ◽  
Vol 25 (01) ◽  
pp. 1-8 ◽  
Author(s):  
Herbert Ziezold ◽  
Christian Grillenberger

Instead of the basic contact process on with infection rate λ we consider for m ≧ 0 the Markov process starting with ξ 0(k) = 1 for k ≧ 0 and ξ 0(k)= 0 for k &lt; 0 and with changing only those k which are at most m places to the right of the left-most infected cell. For m = 0, 1,· ··, 14 direct computations give critical values which are lower bounds for the critical value of the original basic contact process.


1994 ◽  
Vol 31 (01) ◽  
pp. 250-255 ◽  
Author(s):  
Gregory J. Morrow ◽  
Rinaldo B. Schinazi ◽  
Yu Zhang

We prove that the expected number of particles of the critical contact process on a homogeneous tree is bounded above. This is the first graph for which the behavior of the expected number of particles of the critical contact process is known. As an easy corollary of our result we get that the critical contact process dies out on any homogeneous tree. This completes the work of Pemantle (1992).


Author(s):  
J. Anthony VanDuzer

SummaryRecently, there has been a proliferation of international agreements imposing minimum standards on states in respect of their treatment of foreign investors and allowing investors to initiate dispute settlement proceedings where a state violates these standards. Of greatest significance to Canada is Chapter 11 of the North American Free Trade Agreement, which provides both standards for state behaviour and the right to initiate binding arbitration. Since 1996, four cases have been brought under Chapter 11. This note describes the Chapter 11 process and suggests some of the issues that may arise as it is increasingly resorted to by investors.


2019 ◽  
Vol 42 ◽  
Author(s):  
Guido Gainotti

Abstract The target article carefully describes the memory system, centered on the temporal lobe that builds specific memory traces. It does not, however, mention the laterality effects that exist within this system. This commentary briefly surveys evidence showing that clear asymmetries exist within the temporal lobe structures subserving the core system and that the right temporal structures mainly underpin face familiarity feelings.


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