\setlength{\parindent}{0pt}
\setlength{\parskip}{1em}

\newcommand\sigalg{$\sigma$-algebra}
\newcommand\sigalgpl{$\sigma$-algebras}

\renewcommand\eslink{http://www.dpmms.cam.ac.uk/study/II/Probability\%2BMeasure/}

\newcommand\probspace{\ensuremath{(\Omega, \mathcal{F}, \PP)}}

\newcommand\indicator[1]{\ensuremath{\mathbbm{1}_{#1}}}

\newcommand\IID{IID}

\newcommand\pisys{$\pi$-system}
\newcommand\pisyspl{$\pi$-systems}

\newcommand\convdist{\stackrel{d}{\longrightarrow}}

\newcommand\tailsig{\glshyperlink[\ensuremath{\tau}]{tail_sig_notation}}

\newcommand\convP{\stackrel{\PP}{\longrightarrow}}

\newcommand\convas{\stackrel{\glsref[al_surely]{a.s}}{\longrightarrow}}

\newcommand\pmeas{\glshyperlink[\ensuremath{\otimes}]{prod_measure_notation}}
\newcommand\pmu{\glshyperlink[\ensuremath{\otimes}]{pmu_notation}}

\DeclareMathOperator*{\esssup}{ess\,sup}

\newcommand\Lp[1][p]{\glshyperlink[\ensuremath{L^{#1}}]{Lp_norm_notation}}
\newcommand\Lpcal[1][p]{\glshyperlink[\ensuremath{\mathcal{L}^{#1}}]{Lpcal_norm_notation}}

\def\normp\|#1\|{\glshyperlink[\ensuremath{\|#1\|}]{Lp_norm_func_notation}}

\newcommand\given{\mid}

\newcommand\conv{\glshyperlink[\ensuremath{*}]{fourier_convolution_notation}}

\newcommand\ft[1]{\glshyperlink[\ensuremath{\widehat{#1}}]{finv_notation}}

\newcommand\gt[1][t]{\glshyperlink[\ensuremath{g_{#1}}]{gt_notation}}

\newcommand\cf{\glshyperlink[\ensuremath{\phi}]{cf_notation}}
\newcommand\cptinf{\glshyperlink[\ensuremath{C^\infty_c}]{cptinf_notation}}