13 citations
3 papers
cond-mat.soft2005★ 13 cited
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…
math.CO2003
Discrete convexity and unimodularity. I
V. I. Danilov, G. A. Koshevoy
In this paper we develop a theory of convexity for a free Abelian group M (the lattice of integer points), which we call theory of discrete convexity. We characterize those subsets…
math.CO2003
Mathematics of Plott choice functions
V. I. Danilov, G. A. Koshevoy
This paper is devoted to a study of mathematical structures arising from choice functions satisfying the path independence property (Plott functions). We broaden the notion of a ch…