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% IIT Sample THESIS File, Version 3, Updated by Babak Hamidian on 11/18/2003
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% File: sample3.tex %
% IIT Sample LaTeX File %
% by Ozlem Kalinli on 05/30/2003 %
% Revised by Babak Hamidian on 11/18/2003 %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% This is a sample thesis document created using %
% iitthesis.cls style file. The PDF output is also %
% available for your reference. In this file, it has %
% been illustrated how to make table of contents, %
% list of tables, list of figures, list of symbols, %
% bibliography, equations, enumerations, etc. %
% You can find detailed instructions %
% for using the style file in Help.doc, %
% TableHelp.doc, FigureHelp.doc, and %
% Bibliography.doc files. %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Note: The texts that are used in this sample3.tex %
% file are irrelevant. They are just used to show %
% you the style created by iitthesis style file. %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% !TeX spellcheck = en_US
\documentclass{iitthesis}
% \documentclass[draft]{iitthesis}
% Document Options:
%
% Note if you want to save paper when printing drafts,
% replace the above line by
%
% \documentclass[draft]{iitthesis}
%
% See Help file for more about options.
%\usepackage{mmacells}
%\usepackage[dvips]{graphicx} % This package is used for Figures
\usepackage{rotating} % This package is used for landscape mode.
%\usepackage{listings}
%\usepackage{epsfig}
%\usepackage{epstopdf}
%\usepackage{subfigure} % These two packages, epsfig and subfigure, are used for creating subplots.
\usepackage{mathtools}
\mathtoolsset{showonlyrefs=true}
%\usepackage[pass,paperwidth=8.5in,paperheight=11in]{geometry}
\usepackage{kbordermatrix}
%----not-in-template--1--%
\usepackage{amsthm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{graphics}
\usepackage{setspace}
\usepackage{graphicx}
\usepackage{color}
\usepackage{cases}
\usepackage{dsfont}
\usepackage[normalem]{ulem}
\usepackage[all]{xy}
%\usepackage[justification=centering]{caption}[2007/12/23]
\usepackage{bbm}
\usepackage{mathrsfs}
%\usepackage{caption}
\usepackage{enumerate}
%\usepackage{setspace}
%\makeatletter
%\let\@currsize\normalsize
%\makeatother
%\captionsetup[table]{labelsep=period}
%\captionsetup[figure]{labelsep=period}
\newtheorem{claim}{Claim}[section]
\newtheorem{conclusion}{Conclusion}[section]
\newtheorem{condition}{Condition}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{definition}{Definition}[section]
\newtheorem{example}{Example}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{proposition}{Proposition}[section]
\newtheorem{remark}{Remark}[section]
\newtheorem{summary}{Summary}[section]
\newtheorem{theorem}{Theorem}[section]
\newtheorem{assumption}{Assumption}[section]
%%section title styles
\usepackage{titlesec}
\titleformat{\section}{\normalsize\bfseries}{\thesection}{1em}{}
\titlespacing{\section}{0pc}{0ex}{0ex}
\titleformat{\subsection}[runin]{\normalsize\bfseries}{\thesubsection}{.5em}{}[.]
\titlespacing{\subsection}{0pc}{0ex}{1.5ex}
\usepackage{indentfirst}
\usepackage{mcode}
\def\1{\mathbbm{1}}
%% \mathbb Letters
\def\bE{\mathbb{E}}
\def\bN{\mathbb{N}}
\def\bP{\mathbb{P}}
\def\bQ{\mathbb{Q}}
\def\bR{\mathbb{R}}
\def\bI{\mathbb{I}}
\def\d{\mathrm{d}}
%%newcommands
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\definecolor{Red}{rgb}{0.9,0,0.0}
\definecolor{blue}{rgb}{0,0.0,1.0}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% used for editing and making comments in color
% Example \ig{Remarks and Commets}
%\newcommand{\ig}[1]{\textcolor{Red}{Ig: #1}} %{\textcolor[rgb]{1.00, 0.0, 0.0}{Ig: #1} }
\newcommand{\ig}[1]{\begin{color}[rgb]{0.00, 0.0, 0.98}{Ig: #1} \end{color}}
\newcommand{\trb}[1]{\begin{color}[rgb]{0.98, 0.0, 0.98}{TRB: #1} \end{color}}
\newcommand{\ti}[1]{\begin{color}[rgb]{0.00,0.50,0.00}{TI: #1} \end{color}}
\newcommand{\yh}[1]{\begin{color}[rgb]{1.00,0.00,0.00}{Yicong: #1} \end{color}}
\newcommand{\lx}[1]{\begin{color}[rgb]{0.00,0.50,0.00}{LX: #1} \end{color}}
\newcommand{\Red}[1]{\textcolor{Red}{#1}}
\newcommand{\todo}[1]{\textcolor{Red}{TODO: #1}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\mathsym}[1]{{}}
\newcommand{\unicode}[1]{{}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Igor's macros
%% \mathcal Letters
\def\cA{\mathcal{A}}
\def\cB{\mathcal{B}}
\def\cC{\mathcal{C}}
\def\cD{\mathcal{D}}
\def\cE{\mathcal{E}}
\def\cF{\mathcal{F}}
\def\cG{\mathcal{G}}
\def\cH{\mathcal{H}}
\def\cI{\mathcal{I}}
\def\cJ{\mathcal{J}}
\def\cK{\mathcal{K}}
\def\cL{\mathcal{L}}
\def\cM{\mathcal{M}}
\def\cN{\mathcal{N}}
\def\cO{\mathcal{O}}
\def\cP{\mathcal{P}}
\def\cQ{\mathcal{Q}}
\def\cR{\mathcal{R}}
\def\cS{\mathcal{S}}
\def\cT{\mathcal{T}}
\def\cU{\mathcal{U}}
\def\cV{\mathcal{V}}
\def\cW{\mathcal{W}}
\def\cX{\mathcal{X}}
\def\cY{\mathcal{Y}}
\def\cZ{\mathcal{Z}}
%% \mathbb Letters
\def\bA{\mathbb{A}}
\def\bB{\mathbb{B}}
\def\bC{\mathbb{C}}
\def\bD{\mathbb{D}}
\def\bE{\mathbb{E}}
\def\bF{\mathbb{F}}
\def\bG{\mathbb{G}}
\def\bH{\mathbb{H}}
\def\bI{\mathbb{I}}
\def\bJ{\mathbb{J}}
\def\bK{\mathbb{K}}
\def\bL{\mathbb{L}}
\def\bM{\mathbb{M}}
\def\bN{\mathbb{N}}
\def\bO{\mathbb{O}}
\def\bP{\mathbb{P}}
\def\bQ{\mathbb{Q}}
\def\bR{\mathbb{R}}
\def\bS{\mathbb{S}}
\def\bT{\mathbb{T}}
\def\bU{\mathbb{U}}
\def\bV{\mathbb{V}}
\def\bW{\mathbb{W}}
\def\bX{\mathbb{X}}
\def\bY{\mathbb{Y}}
\def\bZ{\mathbb{Z}}
%% \mathscr Letters
\def\sA{\mathscr{A}}
\def\sB{\mathscr{B}}
\def\sC{\mathscr{C}}
\def\sD{\mathscr{D}}
\def\sE{\mathscr{E}}
\def\sF{\mathscr{F}}
\def\sG{\mathscr{G}}
\def\sH{\mathscr{H}}
\def\sI{\mathscr{I}}
\def\sJ{\mathscr{J}}
\def\sK{\mathscr{K}}
\def\sL{\mathscr{L}}
\def\sM{\mathscr{M}}
\def\sN{\mathscr{N}}
\def\sO{\mathscr{O}}
\def\sP{\mathscr{P}}
\def\sQ{\mathscr{Q}}
\def\sR{\mathscr{R}}
\def\sS{\mathscr{S}}
\def\sT{\mathscr{T}}
\def\sU{\mathscr{U}}
\def\sV{\mathscr{V}}
\def\sW{\mathscr{W}}
\def\sX{\mathscr{X}}
\def\sY{\mathscr{Y}}
\def\sZ{\mathscr{Z}}
%%%% \mathsf for Matrices
\def\mA{\mathsf{A}}
\def\mB{\mathsf{B}}
\def\mC{\mathsf{C}}
\def\mD{\mathsf{D}}
\def\mE{\mathsf{E}}
\def\mF{\mathsf{F}}
\def\mG{\mathsf{G}}
\def\mH{\mathsf{H}}
\def\mI{\mathsf{I}}
\def\mJ{\mathsf{J}}
\def\mK{\mathsf{K}}
\def\mL{\mathsf{L}}
\def\mM{\mathsf{M}}
\def\mN{\mathsf{N}}
\def\mO{\mathsf{O}}
\def\mP{\mathsf{P}}
\def\mQ{\mathsf{Q}}
\def\mR{\mathsf{R}}
\def\mS{\mathsf{S}}
\def\mT{\mathsf{T}}
\def\mU{\mathsf{U}}
\def\mV{\mathsf{V}}
\def\mW{\mathsf{W}}
\def\mX{\mathsf{X}}
\def\mY{\mathsf{Y}}
\def\mZ{\mathsf{Z}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% Nonstandard notations %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\pd}[1]{\partial_{#1}} % partial derivative
%\newcommand{\1}{\mathbbm{1}} % preferable way of writing indicator function
%\newcommand{\indFn}[1]{1 \! \! 1_{#1}} % indicator function, old version
\newcommand{\set}[1]{\{#1\}} % set: {xyz} to be used for inline formulas
\newcommand{\Set}[1]{\left\{#1\right\}} % set: {xyz} to be used for seapare (not inline) formulas
\renewcommand{\mid}{\;|\;} % mid bar with small spaces before and after: x | y
\newcommand{\Mid}{\;\Big | \;} % big bar with small spaces before and after:
\newcommand{\norm}[1]{ \| #1 \| } % mid bar with small spaces before and after: x | y
\newcommand{\abs}[1]{\left\vert#1\right\vert} % absolute value
%\newcommand{\d}{\mathrm{d}}
\renewcommand{\d}{\operatorname{d}\!} % d in dt
\newcommand{\sgn}{\text{sgn}} % sgn in formulas
\newcommand{\bsde}{BS$\Delta$E}
\newcommand{\bsdes}{BS$\Delta$Es}
\newcommand{\ask}{\text{ask}}
\newcommand{\bid}{\text{bid}}
\newcommand{\wh}{\widehat}
\newcommand{\wt}{\widetilde}
\DeclareMathOperator{\dif}{d \!} % used for differential, same as in commath.sty
\DeclareMathOperator*{\esssup}{ess\,sup} % ess sup
\DeclareMathOperator*{\essinf}{ess\,inf} % ess inf
\DeclareMathOperator*{\esslimsup}{ess\,\limsup}
\DeclareMathOperator*{\essliminf}{ess\,\liminf}
\DeclareMathOperator*{\argmin}{arg\,min} % argmin
\DeclareMathOperator*{\argmax}{arg\,max} % argmax
\DeclareMathOperator{\Cov}{Cov} % \Cov for covariance
\DeclareMathOperator{\Var}{Var} % \Var for variance
\DeclareMathOperator{\Std}{\mathrm{Std}} % \std for Standard deviation
\DeclareMathOperator*{\arginf}{arg\,inf}
\def\eqdist{\;{\stackrel{\cD}{==}}\;}
\def\covdist{\;{\stackrel{\cD}{\longrightarrow}}\;}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% FINANCE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\DeclareMathOperator{\var}{\mathrm{V}@\mathrm{R}} % \V@R Value-at-risk
\DeclareMathOperator{\tce}{\mathrm{TCE}} % Tail Conditional Expectation
\DeclareMathOperator{\tvar}{\mathrm{TV}@\mathrm{R}} % \TV@R tail Value-at-risk
\DeclareMathOperator{\avar}{\mathrm{AV}@\mathrm{R}} % \AV@R average Value-at-risk
\DeclareMathOperator{\ent}{\mathrm{Ent}} % \ent = Entropic Risk Measure
\DeclareMathOperator{\glr}{\mathrm{GLR}} % \glr = gain to loss ratio
% Packages are explained in the Help document.
\allowdisplaybreaks
% others
\DeclareMathOperator{\supp}{supp}
\def\ed{\;{\stackrel{\cD}{=}}\;}
\def\cd{\;{\stackrel{\cD}{\longrightarrow}}\;}
\begin{document}
%%% Declarations for Title Page %%%
\title{Your Thesis Title}
\author{XYZ}
\degree{Doctor of Philosophy}
\dept{Applied Mathematics}
\date{May 2022}
\copyrightnoticetrue % crate copyright page or not
%\coadvisortrue % add co-advisor. activate it by removing % symbol to add co-advisor
\maketitle % create title and copyright pages
\prelimpages % Settings of preliminary pages are done with \prelimpages command
%\newpage
%\vspace*{\fill}
%\begin{center}
%%\hfill{}
%\it {To my parents Beatriz and Rodrigo}
%\end{center}
%\vspace*{\fill}
\newpage
%%% Acknowledgement %%%
\begin{acknowledgement} % acknowledgement environment, this is optional
%\par
I would like to express my sincere thanks to ...
\begin{center}
\emph{I dedicate this thesis to my parents.}
\end{center}
%\\ \\
% or \input{acknowledgement.tex} % you need a separate acknowledgement.tex file to include it.
\end{acknowledgement}
% Table of Contents
%\setcounter{tocdepth}{3}
\tableofcontents
\clearpage
% List of Tables
%\listoftables
%\clearpage
%List of Figures
\listoffigures
\clearpage
%List of Symbols(optional)
\def\listofsymbols{
\begin{center}
\tsp{LIST OF SYMBOLS\\}
\end{center}
\ssp
\hbox{\protect\makebox[1.5cm][c]{Symbol}\hspace{3cm}\makebox[10cm][l]{Description}}
\addcontentsline{toc}{chapter}{\noindent LIST OF SYMBOLS} %OK
}
\listofsymbols
\SymbolDefinition{$\bR$}{The real line}
% \SymbolDefinition{$\bR_+$}{$[0,\infty)$}
% \SymbolDefinition{$\mathbf{E}$}{A finite set}
% \SymbolDefinition{$\partial$}{A coffin state isolated from $\mathbf E$}
% \SymbolDefinition{$X$}{A Markov chain}
% \SymbolDefinition{$v$}{A function from $\mathbf E$ to $\bR$}
% %\SymbolDefinition{$(\Omega, \sF, \{\sF_{t}\})_{t\geq0},\bP$}{Stochastic basis satisfying the usual assumptions}
% \SymbolDefinition{$H$}{Separable Hilbert Space}
% %\SymbolDefinition{$W^{Q}$}{$Q$-cylindrical Brownian motion}
% \SymbolDefinition{$\theta$}{Drift coefficient}
% \SymbolDefinition{$\sigma$}{Volatility coefficient}
\clearpage
% \SymbolDefinition{$\cT$}{Set of time indices}
% \SymbolDefinition{$g$}{Driver for backward stochastic difference equations}
% \SymbolDefinition{$L^p(\cF_t)$}{$L^p$ integrable $\cF_t$-measurable random variables}
% \SymbolDefinition{$W$}{Square integrable martingale process}
% \SymbolDefinition{$M$}{Martingale process strongly orthogonal to $W$}
% \SymbolDefinition{$(Y,Z,M)$}{Solution to backward stochastic difference equations}
% \SymbolDefinition{$\cE_g$}{$g$-expectation}
% \SymbolDefinition{$\cD$}{Set of all real valued square integrable adapted processes}
% \SymbolDefinition{$\rho$}{Dynamic convex risk measure}
% \SymbolDefinition{$\alpha$}{Dynamic acceptability index}
% \SymbolDefinition{$D^{0}$}{Dividend process associated with banking account}
% \SymbolDefinition{$D^{\ask}$}{Dividend process associated with holding a long position of security}
% \SymbolDefinition{$D^{\bid}$}{Dividend process associated with holding a short position of security}
% \SymbolDefinition{$P^{\ask}$}{Ex-dividend price of purchasing cash flows}
% \SymbolDefinition{$P^{\ask}$}{Ex-dividend price of selling cash flows}
% \SymbolDefinition{$\phi$, $\varphi$, $\xi$}{Trading strategies}
% \SymbolDefinition{$\widetilde{V}$}{Set-up cost process}
% \SymbolDefinition{$V$}{Liquidation value process}
% \SymbolDefinition{$\cS$}{Trading strategies initiated with zero cost}
% \SymbolDefinition{$(\cM,P^\ask,P^\bid)$}{Market model}
% \SymbolDefinition{$\cH^0$}{Set of cash flows generated by strategies in $\cS$}
% \SymbolDefinition{$\cH$}{Set of cash flows that can be super-hedged by strategies in $\cS$ at zero cost}
% \SymbolDefinition{$a^{g}$}{Acceptability ask price}
% \SymbolDefinition{$b^{g}$}{Acceptability bid price}
% \SymbolDefinition{$\widehat{a}^{g}$}{Acceptability ask price in extended market model}
% \SymbolDefinition{$\widehat{b}^{g}$}{Acceptability bid price in extended market model}
%\clearpage
%\listofsymbolsb
% \SymbolDefinition{$\mathbf{\Theta}$}{Space of parameters}
% \SymbolDefinition{$\theta$}{Parameters}
% \SymbolDefinition{$\theta^*$}{True parameter}
% \SymbolDefinition{$\bP_{\theta}$}{Probability measure associated with $\theta$}
% \SymbolDefinition{$\bE_{\theta}$}{Expectation associated with $\theta$}
% \SymbolDefinition{$Z$}{Underlying Markov process}
% \SymbolDefinition{$p_{\theta}$}{Transition density function of $Z$}
% \SymbolDefinition{$\nabla$}{Gradient vector with respect to $\theta$}
% \SymbolDefinition{$\mH$}{Hessian matrix with respect to $\theta$}
% \SymbolDefinition{Id}{Identity matrix}
% \SymbolDefinition{$I(\theta)$}{Fisher information}
% \SymbolDefinition{$\tilde{\theta}$}{Base estimator}
% \SymbolDefinition{$\hat{\theta}$}{Quasi-asymptotically linear estimator}
% \SymbolDefinition{$\chi_d^2$}{Random variable that is chi-squared distributed with $d$ degrees of freedom}
% \SymbolDefinition{$\cN$}{Gaussian random variable}
% \SymbolDefinition{$\cT$}{Confidence region}
% \SymbolDefinition{$\alpha$}{Confidence level}
% \SymbolDefinition{$\rho$}{Correlation coefficient of bivariate Gaussian random variable}
%\clearpage
%%% Abstract %%%
\begin{abstract} % abstract environment, this is optional
TBD
\end{abstract}
\textpages % Settings of text-pages are done with \textpages command
% Chapters are created with \Chapter{title} command
\Chapter{Intro}
%
%More Text More Text More Text
%
ABC
\section{abc}
ABC
\section{abc}
ABC
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\Chapter{abc}
\section{abc}
\section{abc}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\Chapter{abcabc}
\section{abc}
ABC
\section{abc}
ABC
\section{abc}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\Chapter{abcabc}
\appendix
\Appendix{ABC}
\section{asd}
%\bibliographystyle{alpha}
%\bibliography{igor_bib_probability-09-28-2017}
\begin{thebibliography}{ABCDEFG}
\bibitem[AR19]{AltmeyerRieb:2019} R. Altmeyer and M. Rei\ss.
\newblock {Nonparametric estimation for linear SPDEs from local measurements}.
\newblock {\it Submitted}, 2019. arXiv:1903.06984
\bibitem[HT19]{HildebrandtTrabs:2019}
Florian Hildebrandt and Mathias Trabs.
\newblock {Parameter estimation for SPDEs based on discrete observations in time and space}.
\newblock {\it Submitted}, 2019. arXiv:1910.01004
\end{thebibliography}
\end{document} % end of document
