1 citations · 2 across the 4 of their papers we have counts for
13 papers
Mutation model for nucleotide sequences based on crystal basis
C. Minichini, A. Sciarrino
A nucleotides sequence is identified, in the two (four) letters alphabet, by the the labels of a vector state of an irreducible representation of U_q(sl(2)) (U_q(sl(2) + sl(2))), i…
Mutation model for oligonucleotides fitting a Yule distribution
C. Minichini, A. Sciarrino
A spin chain, describing a nucleotides sequence, is identified by the labels of a vector state of an irreducible representation of U_q->0(sl2). A master equation for the distributi…
Quantum spin model fitting the Yule distribution of oligonucleotides in DNA
C. Minichini, A. Sciarrino
A quantum spin chain is identified by the labels of a vector state of a Kashiwara crystal basis. The intensity of the one-spin flip is assumed to depend from the variation of the l…
From quantum groups to genetic mutations
Antonino Sciarrino
In the framework of the crystal basis model of the genetic code, where each codon is assigned to an irreducible representation of , single base mut…
Correlation matrix for quartet codon usage
L. Frappat, A. Sciarrino, P. Sorba
It has been argued that the sum of usage probabilities for codons, belonging to quartets, that have as third nucleotide C or A, is independent of the biological species for vertebr…
Deforming maps between sl(n), sp(2n) and ,
A. Sciarrino
Using crystal basis, in the space of symmetric irreducible representations, we explicitly write invertible deforming functionals between the q-deformed universal enveloping algebra…