Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Mustazee Rahman"'
Publikováno v:
Combinatorica, 2019, Vol.39, pp.933-960 [Peer Reviewed Journal]
This paper initiates a limit theory of permutation valued processes, building on the recent theory of permutons. We apply this to study the asymptotic behaviour of random sorting networks. We prove that the Archimedean path, the conjectured limit of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64c7ec84198eb46fd0762dbebec36652
http://dro.dur.ac.uk/34082/
http://dro.dur.ac.uk/34082/
Autor:
Kurt Johansson, Mustazee Rahman
Publikováno v:
Communications on pure and applied mathematics, 2021, Vol.74(12), pp.2561-2627 [Peer Reviewed Journal]
We study the multi-time distribution in a discrete polynuclear growth model or, equivalently, in directed last-passage percolation with geometric weights. A formula for the joint multi-time distribution function is derived in the discrete setting. It
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca2a48750b0d763414f2e3da5b2e5889
http://arxiv.org/abs/1906.01053
http://arxiv.org/abs/1906.01053
Publikováno v:
Ann. Probab. 47, no. 3 (2019), 1587-1618
Annals of probability, 2019, Vol.47(3), pp.1587-1618 [Peer Reviewed Journal]
arXiv
Annals of probability, 2019, Vol.47(3), pp.1587-1618 [Peer Reviewed Journal]
arXiv
We show that in random $K$-uniform hypergraphs of constant average degree, for even $K \geq 4$, local algorithms defined as factors of i.i.d. can not find nearly maximal cuts, when the average degree is sufficiently large. These algorithms have been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c32b458ffacab0ee650eab09a3f570f
https://projecteuclid.org/euclid.aop/1556784027
https://projecteuclid.org/euclid.aop/1556784027
Autor:
Mustazee Rahman
Publikováno v:
SIAM Journal on Discrete Mathematics. 30:2217-2242
We study invariant percolation processes on the d-regular tree that are obtained as a factor of an iid process. We show that the density of any factor of iid site percolation process with finite clusters is asymptotically at most (log d)/d as d tends
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::842147a45745275e383417854d0733b5
https://doi.org/10.1137/15m1021362
https://doi.org/10.1137/15m1021362
Autor:
Vadim Gorin, Mustazee Rahman
Publikováno v:
arXiv
Probability theory and related fields, 2019, Vol.175(1-2), pp.45-96 [Peer Reviewed Journal]
Probability theory and related fields, 2019, Vol.175(1-2), pp.45-96 [Peer Reviewed Journal]
This paper finds the bulk local limit of the swap process of uniformly random sorting networks. The limit object is defined through a deterministic procedure, a local version of the Edelman–Greene algorithm, applied to a two dimensional determinant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3668a9b2bdd7dd94f64adb85ad88eef
https://hdl.handle.net/1721.1/122937
https://hdl.handle.net/1721.1/122937
Autor:
Brice Huang, Mustazee Rahman
Publikováno v:
European journal of combinatorics, 2019, Vol.81, pp.378-393 [Peer Reviewed Journal]
In this paper we consider the relation between the spectrum and the number of short cycles in large graphs. Suppose $G_1, G_2, G_3, \ldots$ is a sequence of finite and connected graphs that share a common universal cover $T$ and such that the proport
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1efea684f2cbe8b288de9861b8e028cb
http://arxiv.org/abs/1807.06034
http://arxiv.org/abs/1807.06034
Autor:
Jeremy Quastel, Mustazee Rahman
Publikováno v:
Annales Henri Lebesgue, 2020, Vol.3, pp.999-1021 [Peer Reviewed Journal]
We consider the totally asymmetric simple exclusion process with \emph{soft-shock} initial particle density, which is a step function increasing in the direction of flow and the step size chosen small to admit KPZ scaling. The initial configuration i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::711f6f06ef8ab865903c70c397c60357
http://arxiv.org/abs/1801.06143
http://arxiv.org/abs/1801.06143
Publikováno v:
Bangladesh Journal of Scientific and Industrial Research. 50:257-262
The okra (Abelmoschus esculentus) plant consists of bast fiber and core (stick). The bast fibre of okra plant was characterized with high α-cellulose (56.7%) and low lignin (12.6%) and stick withlow α-cellulose (34.3%) and high lignin (25.2%) conte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84b13e19589d23718c91349bcd3305be
https://doi.org/10.3329/bjsir.v50i4.25834
https://doi.org/10.3329/bjsir.v50i4.25834
We investigate percolation, a probabilistic model for continuous phase transition (CPT), on square and weighted planar stochastic lattices. In its thermal counterpart, entropy is minimally low where order parameter (OP) is maximally high and vice ver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1453834d0303f67480840c3697169b75
http://arxiv.org/abs/1703.04893
http://arxiv.org/abs/1703.04893
Autor:
Md. Kamrul Hassan, Mustazee Rahman
In this article, we investigate both site and bond percolation on a weighted planar stochastic lattice (WPSL) which is a multi-multifractal and whose dual is a scale-free network. The characteristic properties of percolation is that it exhibits thres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0681428cd77fa200a6d2a7b49ac9daf2
http://arxiv.org/abs/1604.08699
http://arxiv.org/abs/1604.08699