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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% This is the sample.tex file for the ejpecp document class. %%
+%% This file is for ejpecp version 1.0 %%
+%% Please be sure that you are using the lastest version: %%
+%% http://mirror.ctan.org/macros/latex/contrib/ejpecp/ %%
+%% %%
+%% The ejpecp class works *only* with a pdflatex engine. %%
+%% You need the ejpecp.cls in your current directory or in any %%
+%% directory scanned for cls files by your pdflatex engine. %%
+%% %%
+%% Manual inclusion of page layout commands is useless. %%
+%% %%
+%% Note that any complex file will produce delayed publication! %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Journal selection: ECP or EJP. %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[ECP]{ejpecp} % replace ECP by EJP if needed.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please uncomment and adapt to your encoding if needed: %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\usepackage[T1]{fontenc}
+%\usepackage[utf8]{inputenc}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please add here your own packages (be minimalistic please!): %%
+%% Please avoid using exotic packages and keep things simple. %%
+%% It is not necessary to include ams* and graphicx packages %%
+%% since they are automatically included by the ejpecp class. %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\usepackage{enumerate} % uncomment to use this package
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Shorttitle (please edit and customize for running heading): %%
+%% Title (please edit and customize): %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\SHORTTITLE{Introduction to the \emph{ejpecp} Class}
+
+\TITLE{Introduction to the \emph{ejpecp} Class Version 1.7\thanks{Supported
+ by the Institute of Mathematical Statistics (IMS) and the Bernoulli
+ Society.}\
+ \thanks{Current maintainer of class file is
+ \href{http://www.vtex.lt}{VTeX, Lithuania}. Please send all queries to
+ \href{mailto:latex-support@vtex.lt}{\texttt{latex-support@vtex.lt}}.}} % \thanks is optional. Insert line breaks with \\
+
+%\DEDICATORY{Dedicated to the memory of ...} % Optional
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Authors (please edit and customize): %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\AUTHORS{%
+ Krzysztof~Burdzy\footnote{University of Washington, United States of America.
+ \EMAIL{burdzy@math.washington.edu}}
+ \and %% remove this line and below if single author
+ Djalil~Chafa\"{\i}\footnote{Universit\'e Paris-Dauphine,
+ France. \BEMAIL{djalil@chafai.net} \url{http://djalil.chafai.net}}}%AUTHORS
+%% Type \and between all consecutive authors (not only before the last author).
+%% Note: you may use \BEMAIL to force a line break before e-mail display.
+
+%% Here is a compact example with two authors with same affiliation
+%% \AUTHORS{%
+%% Michael~First\footnote{Some University. \EMAIL{mf,js@uni.edu}
+%% \and
+%% John~Second\footnotemark[2]}%AUTHORS
+%% Note: The \footnotemark is the footnote number that you wish to reuse. Here
+%% it is [2] (we took into account the footnote generated by \thanks in title).
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please edit and customize the following items: %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\KEYWORDS{EJP ; ECP ; typesetting ; LaTeX} % Separate items with ;
+
+\AMSSUBJ{NA} % Edit. Separate items with ;
+%\AMSSUBJSECONDARY{FIXME:} % Optional, separate items with ;
+
+\SUBMITTED{January 2, 2013} % Edit.
+\ACCEPTED{December 13, 2014} % Edit.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please uncomment and edit if you have an arXiv ID: %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\ARXIVID{NNNN.NNNNvn} % Edit.
+%\HALID{hal-NNN} % Edit.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% The following items will be set by the Managing Editor. %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\VOLUME{0}
+\YEAR{2016}
+\PAPERNUM{0}
+\DOI{10.1214/YY-TN}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please edit and customize the abstract: %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\ABSTRACT{The $\LaTeXe$ class \emph{ejpecp} is designed for typesetting of
+ articles to be published in the research periodicals \emph{Electronic
+ Journal of Probability} (EJP) and \emph{Electronic Communications in
+ Probability} (ECP).}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please add your own macros and environments below: %%
+%% %%
+%% If possible, avoid using \def and use instead \newcommand %%
+%% If possible, avoid defining your own environments, and use %%
+%% instead the environments already defined by ejpecp: %%
+%% assumption, assumptions, claim, condition, conjecture, %%
+%% corollary, definition, definitions, example, exercise, fact, %%
+%% facts, heuristics, hypothesis, hypotheses, lemma, notation, %%
+%% notations, problem, proposition, remark, theorem %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\newcommand{\ABS}[1]{\left(#1\right)} % example of author macro
+\newcommand{\veps}{\varepsilon} % another example of author macro
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% No macro definitions below this line please! %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% No need for \maketitle. %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Please replace what follows by the body of your article %%
+%% (up to the bibliography): %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+The $\LaTeXe$ class \emph{ejpecp} is designed for typesetting of articles for
+the Electronic Journal of Probability (EJP) and Electronic Communications in
+Probability (ECP). Please check on \url{http://www.ctan.org/pkg/ejpecp} that
+your are using the latest version of \emph{ejpecp}. The \emph{ejpecp} class
+comes with a commented sample file called \texttt{sample.tex}. You are
+probably reading the pdf version of this sample file, compiled with a pdflatex
+engine\footnote{The \emph{ejpecp} class was also successfully tested with the lualatex next generation engine.}.
+
+\textbf{An easy way to prepare an article for publication in EJP/ECP is to
+ edit the source file \texttt{sample.tex} for this document. Replace the main
+ body of the file with the main body of your article. Supply all metadata
+ (title, authors, abstract, keywords, etc) that are requested in the latex
+ file.}
+
+The \emph{ejpecp} class works only with the pdflatex engine, generating pdf
+files. You need a copy of the \texttt{ejpecp.cls} file in your
+directory\footnote{Or in any location scanned for \texttt{cls} files by your
+ pdflatex engine.} in order to compile documents based on the \emph{ejpecp}
+class, such as \texttt{sample.tex}. To configure the \emph{ejpecp} class for
+ECP, use
+\begin{verbatim}
+\documentclass[ECP]{ejpecp}
+\end{verbatim}
+while for EJP, use
+\begin{verbatim}
+\documentclass[EJP]{ejpecp}
+\end{verbatim}
+The \emph{ejpecp} document class loads automatically the following packages:
+\begin{center}
+ \ttfamily
+ amsmath, amsthm, amsfonts, amssymb, bera, dsfont, \\
+ hyperref, geometry, graphicx, lastpage, latexsym, \\
+ mathtools, microtype, afterpackage.
+\end{center}
+It is thus not necessary to add \verb+\usepackage+ load commands for
+these packages to your latex file. However, you may want to load additional
+packages, such as the \emph{enumerate} package by using a \verb+\usepackage+
+command. The precise location of these extra load commands is clearly
+mentioned in the \texttt{sample.tex} file. The \emph{ejpecp} class provides
+various environments, and also important commands such as \verb+\AUTHORS+,
+\verb+\TITLE+, etc.
+
+\section{Standard predefined environments}
+
+One of the main features of the \emph{ejpecp} class is its predefined
+environments.
+
+ \begin{theorem}[My theorem]\label{th:1}
+ This is the body of the theorem. This theorem has a name between
+ parentheses, and this is implemented by adding an optional parameter
+ between square brackets to the theorem environment, namely
+\begin{verbatim}
+ \begin{theorem}[My theorem] \label{th:1}
+ This is the body of ...
+ \end{theorem}
+\end{verbatim}
+ \end{theorem}
+
+ \begin{proof}[Proof of Theorem \ref{th:1}]
+ This is the body of the proof of the theorem above. This proof has a name,
+ and this is implemented by adding an optional parameter between square
+ brackets to the proof environment, namely
+ \begin{verbatim}
+ \begin{proof}[Proof of Theorem \ref{th:1}]
+ This is the body of the proof of ...
+ \end{proof}
+ \end{verbatim}
+ We recommend that you give names to most of your theorem-like environments.
+ You cannot imagine how this helps your readers! The proof ends at the
+ square box.
+ \end{proof}
+
+ Note that a square box $\square$ is automatically added at the end of the
+ proof by the environment ``proof''. The \emph{ejpecp} class provides several
+ default environments:
+\begin{center}
+ \small\ttfamily assumption, assumptions, claim, condition, conjecture,
+ corollary, definition, definitions, example, exercise, fact, facts,
+ heuristics, hypothesis, hypotheses, lemma, notation, notations, problem,
+ proposition, question, remark, theorem
+\end{center}
+
+Let us give some more examples of environments in action.
+
+ \begin{lemma}[My lemma]
+ Body of the Lemma.
+ \end{lemma}
+
+ \begin{proof}
+ This is the body of a proof environment without name, obtained using
+\begin{verbatim}
+\begin{proof}
+ This is the body of ...
+\end{proof}
+\end{verbatim}
+ Note again the automatic inclusion of a square box at the right place $\to$
+ \end{proof}
+
+Here are some more examples of predefined environments:
+
+ \begin{lemma}
+ Body of the Lemma. This lemma does not have a name.
+ \end{lemma}
+
+ \begin{proposition}[My proposition]
+ Body of the proposition.
+ \end{proposition}
+
+ \begin{corollary}[My corollary]
+ Body of the corollary.
+ \end{corollary}
+
+ \begin{definition}[My definition]
+ Body of the definition.
+ \end{definition}
+
+ \begin{conjecture}[My conjecture]
+ Body of the conjecture.
+ \end{conjecture}
+
+ \begin{remark}[My remark]
+ Body of the remark. Note that the style of the body differs from the one
+ used for theorems.
+ \end{remark}
+
+ \begin{example}[My example]
+ Body of the example.
+ \end{example}
+
+ \begin{problem}[My problem]
+ Body of the problem.
+ \end{problem}
+
+ These environments cover most author's needs. It is possible -- but not
+ recommended! -- to define additional environments based on the theorem
+ environment.
+
+\section{Fonts}
+
+The default font used by the \emph{ejpecp} class is \emph{bera}\footnote{This
+ is the name of the \LaTeX\ package for \emph{bitstream} fonts.}. This font
+looks good but does not come with ``small capitals'' shape, making the command
+\verb+\textsc{...}+ ineffective. The \emph{ejpecp} class uses the \emph{double
+ stroke font} as a replacement for \verb+\mathbb+. For instance
+\verb+\mathbb{B}+ will produce $\mathbb{B}$ instead of $\realmathbb{B}$.
+However, the original \verb+\mathbb+ command is still available via the
+command \verb+\realmathbb{...}+ (please avoid using it if possible). Note that
+\verb+\mathbb{1}+ produces $\mathbb{1}$, which is particularly attractive for
+indicators of sets.
+
+\section{Page numbering}
+
+EJP and ECP are purely electronic journals. Their volumes will never be
+printed. Each paper published in EJP and ECP has pages numbered starting from
+$1$. This numbering scheme, used starting from 2012, was already used for the
+first volumes of EJP.
+
+\section{Section headings and equation numbering}\label{se:mysection}
+
+The default size for section titles in \LaTeX\ is a bit large. As you might have
+noticed, the \emph{ejpecp} class provides smaller section titles. Here are some
+sub-sections:
+
+\subsection{A sub-section}
+
+\subsection{Another sub-section}
+
+\subsubsection{A sub-sub-section}
+
+The following numbered displayed equation is the first in section \ref{se:mysection}:
+
+\begin{equation}\label{eq:myequation}
+ \int_{-\infty}^{+\infty}\!e^{-t-e^{-t}}\,dt = 1
+ \quad\text{and}\quad
+ \int_{-\infty}^{+\infty}\!te^{-t-e^{-t}}\,dt = \gamma.
+\end{equation}
+It is produced with the following source code:
+\begin{verbatim}
+\begin{equation}\label{eq:myequation}
+ \int_{-\infty}^{+\infty}\!e^{-t-e^{-t}}\,dt = 1
+ \quad\text{and}\quad
+ \int_{-\infty}^{+\infty}\!te^{-t-e^{-t}}\,dt = \gamma.
+\end{equation}
+\end{verbatim}
+You may refer to it by using \verb+\eqref{eq:myequation}+ which
+produces \eqref{eq:myequation}. Here is another numbered displayed equation
+\begin{equation}
+ \int_{-\infty}^{+\infty}\!(t-\gamma)^2e^{-t-e^{-t}}\,dt
+ = \zeta(2)
+ = \frac{\pi^2}{6},
+\end{equation}
+and yet another one, just for fun!
+\begin{equation}
+ \int_{-\infty}^{+\infty}\!(t-\gamma)^3e^{-t-e^{-t}}\,dt
+ = 2\zeta(3).
+\end{equation}
+
+\section{How to include graphics}
+
+You may include graphics in PDF or EPS or JPEG or PNG format as follows
+
+\begin{verbatim}
+\begin{figure}[htbp]
+ \centering % gives better spacing than \begin{center}...\end{center}
+ \includegraphics[scale=1.0]{filename}
+ \caption{This is my figure.}
+ \label{fi:myfigure}
+\end{figure}
+\end{verbatim}
+
+Note that in a figure environment, the \verb+\label+ should always appear
+after a \verb+\caption+ in order to produce a valid reference to the figure.
+You may play with the options \verb+[htbp]+ (see the \LaTeXe\ documentation
+for their meaning) and with the options of the \verb+\includegraphics+ command
+(see the documentation of the graphicx package).
+
+\section{About your source file for EJP and ECP}
+
+\textbf{Papers using the \LaTeX\ class \emph{ejpecp} are quickly published},
+usually within a month. Some authors prefer \TeX\ instead of \LaTeX. Every
+author has his own preferences and habits. We believe that \TeX\ is a good
+program. However EJP and ECP need a standardized layout for all papers, and
+this is easier done with \LaTeX\ than with \TeX. For that reason, you are
+strongly encouraged to use the \LaTeX\ class \emph{ejpecp} for your papers.
+
+The aim of EJP and ECP is to publish excellent mathematical articles. All
+mathematicians believe that the mathematical results are the most important
+elements of an article. Many of them believe that the aesthetic aspects of the
+proof are also important. Some of them believe that even the writing style is
+important. Few of them believe that the \LaTeX\ code needs to be elegant. A
+good \LaTeX\ code is easier to maintain, to convert, and to read. It helps
+your co-authors, and helps to speed up the publication process. The current
+major version of \LaTeX\ is called \LaTeXe. Without being mandatory, it is
+useful to learn how to write genuine \LaTeXe\ code, rather than a mixture of
+\TeX\ and old \LaTeX\ (prior to \LaTeXe). Here are some suggestions:
+
+\begin{itemize}
+\item never use \verb+\def+ for defining macros, use instead
+ \verb+\newcommand+
+\item never use \verb+$$+ for displayed equations, use instead the brackets
+ \verb+\[ \]+
+\item use \verb+\textbf{}+, \verb+\textit{}+, and \verb+\emph{}+ instead of
+ \verb+{\bf }+, \verb+{\it }+, and \verb+{\em }+
+\item never use one letter names for macros or for environments
+\item never use strange names for macros and environments
+\item use the environment proof provided by amsmath (as in \emph{ejpecp})
+\item use \verb+\newenvironment+ to define new environments
+\item use \verb+\binom{n}{k}+ instead of \verb+n \choose k+
+\item use \verb+\frac{a}{b}+ instead of a \verb+\over b+
+\item never use an exotic package if you do not really need it
+\item indent your code and avoid too long lines
+\item use prefixed labels such as \verb+eq:+ for equations and \verb+th:+ for
+ theorems
+\item to produce graphics, avoid using \emph{psfrag} or \emph{XFig} and use
+ instead \emph{\href{http://en.wikipedia.org/wiki/Ipe_(program)}{Ipe}}
+\item learn how to interpret the error messages generated during compilation
+\item read the wiki-books on \href{http://en.wikibooks.org/wiki/LaTeX}{LaTeX}
+ and \href{http://en.wikibooks.org/wiki/LaTeX/Mathematics}{LaTeX Mathematics}
+\end{itemize}
+
+\section{How to help us}
+
+We (KB and DC) do not consider ourselves \LaTeXe\ experts.
+We will be happy to receive comments and suggestions for improvement
+(especially constructive ones).
+
+\section{How to include bibliography}
+
+The bibliography should be included in your document (not a separate file),
+inside the standard environment \verb+thebibliography+. If you use bibtex,
+this can be accomplished by including the \texttt{bbl} file inside your
+document (after preliminary compilation with latex and bibtex). The
+bibliography should be sorted alphabetically according to authors names, and
+the records should be labeled by numbers. See the example below.
+
+Links to the Math Reviews should be included as in the sample below. The
+simplest way to get automatically these Math Reviews links is to get all your
+bibtex entries from MathSciNet, and to use
+\verb+\bibliographystyle{amsplain}+. This produces automatically the necessary
+\verb+\MR+ commands in your \verb+\bibitem+s, allowing \emph{ejpecp} to
+automatically produce the links as in the sample below. Alternatively, if you
+are not using MathSciNet and bibtex, you may simply produce the Math Reviews
+links by using
+\url{http://www.e-publications.org/ims/support/mref/}
+
+At your option, you may also manually provide the arXiv identifier for
+preprints or unpublished papers. It is your author responsibility to check if
+the preprint is actually published and referenced in the Mathematical Reviews,
+and in that case, you should provide the MR number instead of the arXiv
+identifier. It is acceptable to leave arXiv links in the bibliography
+(alongside MR links) even if the article has been published.
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% Use the two commands below for producing your bibliography %%
+%% with bibtex, then comment again the commands and include the %%
+%% content of the .bbl file in this file below the commands. %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\bibliographystyle{amsplain}
+%\bibliography{yourbibfilename}
+
+% add below the content of your .bbl file produced by bibtex.
+
+\begin{thebibliography}{99}
+
+\bibitem{doob} Doob, J. L.: Heuristic approach to the Kolmogorov-Smirnov
+ theorems. \emph{Ann. Math. Statistics} \textbf{20}, (1949), 393--403.
+ \MR{0030732}
+
+\bibitem{gnekol} Gnedenko, B. V. and Kolmogorov, A. N.: Limit distributions for
+ sums of independent random variables. Translated and annotated by K. L.
+ Chung. With an Appendix by J. L. Doob. \emph{Addison-Wesley}, Cambridge,
+ 1954. ix+264 pp. \MR{0062975}
+
+\bibitem{ito} It\^o, K.: Multiple Wiener integral. \emph{J. Math. Soc. Japan}
+ \textbf{3}, (1951), 157--169. \MR{0044064}
+
+\bibitem{levy} L\'evy, P.: Sur certains processus stochastiques homog\`enes.
+ \emph{Compositio Math.} \textbf{7}, (1939), 283--339. \MR{0000919}
+
+\bibitem{grisha} Perelman, G.: The entropy formula for the Ricci flow and its
+ geometric applications, \ARXIV{math.DG/0211159}
+
+\bibitem{smisch} Smirnov, S. and Schramm, O.: On the scaling limits of planar
+ percolation, \ARXIV{1101.5820}
+
+\end{thebibliography}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% You may add acknowledgments (optional). %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\ACKNO{We are grateful to Martin Hairer who provided a nice \texttt{MR} macro and to S\'ebastien Gou\"ezel for his useful comments on the internals of the class file.}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% You have reached the end of your document. %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\end{document}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% %%
+%% You may put below funny messages to the Managing Editor: %%
+%% %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% EOF