\documentclass[12pt]{article} \usepackage{amsmath,mathrsfs,bbm} \usepackage{amssymb} \textwidth=4.825in \overfullrule=0pt \thispagestyle{empty} \begin{document} \noindent % % {\bf Adel Hamdi} % % \medskip \noindent % % {\bf Symmetric Distribution of Crossings and Nestings in Permutations of Type $B$} % % \vskip 5mm \noindent % % % % This note contains two results on the distribution of crossing numbers and nesting numbers in permutations of type B. More precisely, we prove a $B_n$-analogue of the symmetric distribution of crossings and nestings of permutations due to Corteel [Adv.\ Appl.\ Math.\ 38(2)(2007), 149--163] as well as the symmetric distribution of $k$-crossings and $k$-nestings of permutations due to Burrill et~al.~[DMTCS proc. AN (2010), 593--600]. \end{document} .