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20172022
most citedRandom derangements and the Ewens Sampling Formula

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2022

Another view of sequential sampling in the birth process with immigration

Poly H. da Silva, Arash Jamshidpey, Simon Tavaré

Models of counts-of-counts data have been extensively used in the biological sciences, for example in cancer, population genetics, sampling theory and ecology. In this paper we exp…

math.PR2022

Markov chains arising from biased random derangements

Poly H. da Silva, Arash Jamshidpey, Simon Tavaré

We explore the cycle types of a class of biased random derangements, described as a random game played by some children labeled . Children join the game one by one, in…

math.PR2021

Escape from parsimony of a double-cut-and-join genome evolution process

Mona Meghdari Miardan, Arash Jamshidpey, David Sankoff

We analyze models of genome evolution based on both restricted and unrestricted double-cut-and-join (DCJ) operations. We compare the number of operations along the evolutionary tra…

math.PR20201 cited

Random derangements and the Ewens Sampling Formula

Poly H. da Silva, Arash Jamshidpey, Simon Tavaré

We study derangements of under the Ewens distribution with parameter . We give the moments and marginal distributions of the cycle counts, the number of cycle…

math.CO2018

Partial geodesics on symmetric groups endowed with breakpoint distance

Poly H. da Silva, Arash Jamshidpey, David Sankoff

The notion of partial geodesic was introduced by Jamshidpey et al. in "Sets of medians in the non-geodesic pseudometric space of unsigned genomes with breakpoints", 2014. In this p…

math.CO2017

Median inverse problem and approximating the number of -median inverses of a permutation

Poly H. da Silva, Arash Jamshidpey, David Sankoff

We introduce the "Median Inverse Problem" for metric spaces. In particular, having a permutation in the symmetric group (endowed with the breakpoint distance), we study t…