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+% Compilation options
+\synctex=1
+
+% Packages
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenx}
+\usepackage[english]{babel}
+\usepackage{microtype}
+\usepackage{fancyhdr}
+\usepackage{listings}
+\usepackage{appendix}
+\usepackage{vmargin}
+\usepackage{setspace}
+\usepackage{mathrsfs}
+\usepackage{mathenv}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage{amscd}
+\usepackage{amsthm}
+\usepackage{mathrsfs}
+\usepackage{graphicx}
+\usepackage{epstopdf}
+\usepackage{subfigure}
+\usepackage{color}
+\usepackage{todonotes}
+\usepackage{caption}
+\usepackage[numbers]{natbib}
+\usepackage{hyperref}
+\usepackage{cleveref}
+
+% Packages options
+\hypersetup{citecolor=blue, colorlinks=true, linkcolor=[rgb]{0.,0.,0.7}}
+\graphicspath{{figures/}}
+
+% Macros
+\definecolor{darkred}{rgb}{.7,0,0}
+\newcommand{\real}[0]{\mathbf{R}}
+\newcommand{\nat}[0]{\mathbf{N}}
+\newcommand{\op}[0]{\mathcal}
+\newcommand{\grad}[0]{\nabla}
+\newcommand{\dive}[0] {\,\nabla\,\cdot\,}
+\newcommand{\ip}[2]{\left\langle{#1,#2}\right\rangle}
+\newcommand{\norm}[1]{\left\| #1 \right\|}
+\newcommand{\pard}[2]{\partial_{#2} #1}
+\newcommand{\pardl}[2]{\frac{\partial{#1}}{\partial{#2}}}
+\newcommand{\pardd}[2]{\partial_{#2}^2 #1}
+\newcommand{\parddl}[2]{\frac{\partial^2{#1}}{\partial{#2}^2}}
+\newcommand{\hermite}[0]{\mathcal}
+\newcommand{\gaussian}[1]{g_{#1}}
+\newcommand{\stdgaussian}[0]{g}
+\newcommand{\test}[1]{C^\infty_c (#1)}
+\newcommand{\flp}[2]{L^{#1} (#2)}
+\newcommand{\wlp}[3]{L^{#1} (#2,#3)}
+\newcommand{\sobolev}[2]{H^{#1} (#2)}
+\newcommand{\wsobolev}[3]{H^{#1} (#2, #3)}
+\newcommand{\red}[1]{\textcolor{darkred}{#1}}
+\newcommand{\HRule}{\rule{\linewidth}{0.5mm}}
+\newcommand{\smooth}[1]{C^\infty(#1)}
+\newcommand{\cont}[2]{C^{#1} (#2)}
+\newcommand{\contb}[2]{C_b^{#1} (#2)}
+\newcommand{\Space}[0]{\mathscr}
+\newcommand{\expect}[0]{\mathbb{E}}
+\newcommand{\dotx}[0]{\,\cdot\,}
+\newcommand{\abs}[1]{\left| #1 \right|}
+
+% Redefinitions
+\renewcommand{\d}[0]{\,\mathrm{d}}
+
+% Layout options
+\setlength{\parskip}{6pt}
+\setstretch{1.3}
+
+% Setting for the table of contents
+\setcounter{secnumdepth}{1}
+\setcounter{tocdepth}{1}
+
+% Theorems
+\theoremstyle{plain}
+\newtheorem{assumption}{Assumption}[section]
+\newtheorem{example}{Example}[section]
+\newtheorem{theorem}{Theorem}[section]
+\newtheorem{corollary}[theorem]{Corollary}
+\newtheorem{lemma}[theorem]{Lemma}
+\newtheorem{proposition}[theorem]{Proposition}
+\newtheorem{axiom}[theorem]{Axiom}
+\theoremstyle{definition}
+\newtheorem{definition}[theorem]{Definition}
+\theoremstyle{remark}
+\newtheorem{remark}[theorem]{Remark}