ETDs @PUC-Rio
| Título: | AN INVITATION TO NOISE SENSITIVITY AND APPLICATIONS TO QUENCHED VORONOI PERCOLATION | ||||||||||||
| Autor: |
DANIEL DE LA RIVA MASSAAD |
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| Colaborador(es): |
SIMON RICHARD GRIFFITHS - Orientador |
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| Catalogação: | 25/SET/2020 | Língua(s): | ENGLISH - UNITED KINGDOM |
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| Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
| Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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| Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=49615&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=49615&idi=2 |
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| DOI: | https://doi.org/10.17771/PUCRio.acad.49615 | ||||||||||||
| Resumo: | |||||||||||||
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We begin this dissertation by giving an introductory overview of the topics of Noise Sensitivity and Percolation. As these areas may be unfamiliar to many graduate students, we present the material in an accessible way, with the objective of publicising important techniques and results in these areas.We shall also introduce the model of Voronoi Percolation and present results of Vincent Tassion on crossing probabilities in this model. In the last two chapters we consider Noise Sensitivity of Quenched Voronoi Percolation. In particular, in the penultimate chapter we present the results of the paper Quenched Voronoi Percolation by Daniel Ahlberg, Simon Griffiths, Robert Morris and Vincent Tassion, and in the final chapter we prove a theorem which improves one of the bounds of that paper.
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