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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2011.tde-10112014-152054
Document
Author
Full name
Gabriel Ribeiro da Cruz Peixoto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2011
Supervisor
Committee
Fontes, Luiz Renato Goncalves (President)
Coletti, Cristian Favio
Oliveira, Roberto Imbuzeiro Moraes Felinto de
Title in Portuguese
Um estudo sobre o processo K não homogêneo
Keywords in Portuguese
estados instantâneos
gerador infinitesimal
processos K
Abstract in Portuguese
Processos K começaram a ser estudados nos anos 50 como uma fonte de contraexemplos e de comportamento patológico. Recentemente descobriu-se que eles são um limite de escalas para modelos de armadilha, fato que voltou a trazer certa atenção para eles. Nesse trabalho vamos adotar uma abordagem construtiva, usando-a para mostrar a propriedade forte de Markov e calcular as taxas de transição e o gerador infinitesimal.
Title in English
A study of the non-homogeneous K-process
Keywords in English
infinitesimal generator
instantaneous states
K processes
Abstract in English
K processes were studied in the 50's as a source of counter examples and of pathological behaviour. It is now know that they are a scaling limit for trap models, which led attention back to them. In this work, we will adopt a constructive approach, using it to show the strong Markov propriety, calculate the transition rates and the infinitesimal generator.
 
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Publishing Date
2014-11-13
 
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