Finite Size Corrections to Disordered Systems: mean field results and applications to finite dimensional models

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This PhD thesis has the following structure: Chapter 1 - General introduction; Chapter 2 - Preliminaries; Chapter 3 - The Replicated Transfer Matrix; Chapter 4 - Finite Size Corrections On Random Graphs; Chapter 5 - The Random Field Ising Model; Chapter 6 - The Euclidean Assignment Problem; Chapter 7 - The Euclidean Matching Problem; Chapter 8 - The Large M Expansion.