31 citations · 31 across the 2 of their papers we have counts for
2 papers
math.ST2012
Sampling From A Manifold
Persi Diaconis, Susan Holmes, Mehrdad Shahshahani
We develop algorithms for sampling from a probability distribution on a submanifold embedded in Rn. Applications are given to the evaluation of algorithms in 'Topological Statistic…
math.PR2007★ 31 cited
On the girth of random Cayley graphs
Alex Gamburd, Shlomo Hoory, Mehrdad Shahshahani +2
We prove that random d-regular Cayley graphs of the symmetric group asymptotically almost surely have girth at least (log_{d-1}|G|)^{1/2}/2 and that random d-regular Cayley graphs…