13 citations · 14 across the 4 of their papers we have counts for
4 papers
Local Cooperativity Mechanism in the DNA Melting Transition
Vassili Ivanov, Dmitri Piontkovski, Giovanni Zocchi
We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pair…
Sets of Hilbert series and their applications
Dmitri Piontkovski
There are several remarks on Hilbert series of finitely presented (f. p.) associative algebras over a field and their modules. First, given an integer , the set of Hilbert serie…
Algebras associated to pseudo-roots of noncommutative polynomials are Koszul
Dmitri Piontkovski
Quadratic algebras associated to pseudo-roots of noncommutative polynomials have been introduced by I. Gelfand, Retakh, and Wilson in connection with studying the decompositions of…
Linear equations over noncommutative graded rings
Dmitri Piontkovski
We call a graded connected algebra effectively coherent, if for every linear equation over with homogeneous coefficients of degrees at most , the degrees of generators o…