949 resultados para Maki-Thompson
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We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested individual. Our model also includes distinct rates for meetings between two spreaders in which both become stiflers or only one does, so that particular cases are the classical Daley-Kendall and Maki-Thompson models. We prove a Law of Large Numbers and a Central Limit Theorem for the proportions of those who ultimately remain ignorant and those who have heard the rumour but become uninterested in it.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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2
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1
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v.1:no.10(1898)
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v.17:no.1(1927)
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no.25(1927)
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v.17:no.4(1932)
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v.17:no.2(1930)
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v.27:no.1(1938)
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v.17:no.4(1932)
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Vegeu el resum a l'inici del document del fitxer adjunt.
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Here we describe the results of some computational explorations in Thompson's group F. We describe experiments to estimate the cogrowth of F with respect to its standard finite generating set, designed to address the subtle and difficult question whether or not Thompson's group is amenable. We also describe experiments to estimate the exponential growth rate of F and the rate of escape of symmetric random walks with respect to the standard generating set.