14 citations
- Russian Academy of SciencesRU10 papers
- Institute for Systems AnalysisRU7 papers
- Institute of EconomicsRU5 papers
- Institute for Information Transmission ProblemsRU2 papers
- Lomonosov Moscow State UniversityRU2 papers
- Université Pierre-et-Marie-CurieFR2 papers
- Academy of Mathematics and Systems ScienceCN1 paper
- Centre de Mathématiques Appliquées de l'École polytechniqueFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Chinese Academy of SciencesCN1 paper
- Dorodnitsyn Computing CentreRU1 paper
- École Normale Supérieure - PSLFR1 paper
4 papers · 1 filter
How to compute the rank of a Delaunay polytope
Mathieu Dutour Sikiric, Viatcheslav Grishukhin
Roughly speaking, the rank of a Delaunay polytope (first introduced in \cite{DGL92}) is its number of degrees of freedom. In \cite{DL}, a method for computing the rank of a Delauna…
Cohomology of 3-dimensional color Lie algebras
Dmitri Piontkovski, Sergei Silvestrov
We develop the cohomology theory of color Lie superalgebras due to Scheunert--Zhang in a framework of nonhomogeneous quadratic Koszul algebras. In this approach, the Chevalley--Eil…
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…