3 papers
math.PR2009
A Solvable Model for Homopolymers and the Critical Phenomena
M. Cranston, L. Koralov, S. Molchanov +1
We consider a model for the distribution of a long homopolymer with a zero-range potential at the origin in . The distribution can be obtained as a limit of Gibbs dis…
math.PR2009
Continuous Model for Homopolymers
M. Cranston, L. Koralov, S. Molchanov +1
We consider the model for the distribution of a long homopolymer in a potential field. The typical shape of the polymer depends on the temperature parameter. We show that at a crit…
math-ph2008
Some generalizations of Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities
S. Molchanov, B. Vainberg
The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968