Livro Usado
SELF-DESTRUCTIVE PERCOLATION, INVASION PERCOLATION AND RELATED MODELS
BÁLINT VÁGVÖLGYI
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Editora Birkhäuser
Área MATEMÁTICA
Idioma Inglês
Número de páginas 102
Edição 2009
ISBN 9789086593408
EAN 9789086593408
Livro em bom estado de conservação
1.1 Introduction
This thesis concerns itself with three different spatial stochastic models that
have two important features in common. First, they are all "percolationlike" models. Second, they are connected to some extent to self-organized
criticality in the sense that they either exhibit self-organizing behaviour or
are closely related to models that do. This introductory chapter will give
an overview of the concept of the self-organized criticality and introduce the
models discussed in later chapters. Since a proper understanding of Bernoulli
percolation is of essence when reading this thesis, a detailed overview of
that model is also given. The main aim of this chapter is to give a clear
intuitive picture of the considered model and motivate the choice of studying
them. Therefore, while proper mathematical rigour is maintained throughout
this chapter, the governing tone will be kept somewhat informal and focus
on helping to gain insight of the models and the problems studied in this
thesis. Therefore, non-mathematician readers are also encouraged to read
this chapter