arXiv Open Access 2009

On the decomposition of $k$-noncrossing RNA structures

Emma Y. Jin Christian M. Reidys

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Abstrak

An $k$-noncrossing RNA structure can be identified with an $k$-noncrossing diagram over $[n]$, which in turn corresponds to a vacillating tableaux having at most $(k-1)$ rows. In this paper we derive the limit distribution of irreducible substructures via studying their corresponding vacillating tableaux. Our main result proves, that the limit distribution of the numbers of irreducible substructures in $k$-noncrossing, $σ$-canonical RNA structures is determined by the density function of a $Γ(-\lnτ_k,2)$-distribution for some $τ_k<1$.

Topik & Kata Kunci

q-bio.BM math.CO q-bio.QM

Penulis (2)

Emma Y. Jin

Christian M. Reidys

Format Sitasi

APA MLA BibTeX

Jin, E.Y., Reidys, C.M. (2009). On the decomposition of $k$-noncrossing RNA structures. https://arxiv.org/abs/0902.3783

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Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓