18 citations · 43 across the 13 of their papers we have counts for
16 papers
Plinths and Pedestals
Oleg Ogievetsky, Senya Shlosman
In this paper we explain what are the plinths and the pedestals of the skyscrapers (=plane partitions), and how one can use them in order to count the skyscrapers.
The major index (maj) and its Schützenberger dual
Oleg Ogievetsky, Senya Shlosman
We construct the independent particle representation for the Semistandard Young Tableaux (SsYT) of skew shape The partition function of this particle system gives the genera…
Art of Unlocking
Oleg Ogievetsky, Senya Shlosman
We describe our recent results concerning the rigidity/unlockability properties of clusters of rigid bodies sliding over the unit sphere.
Critical configurations of solid bodies and the Morse theory of MIN functions
Oleg Ogievetsky, Senya Shlosman
We study the manifold of clusters of nonintersecting congruent solid bodies, all touching the central ball of radius one. Two main examples are clusters of…
Platonic Compounds of Cylinders
Oleg Ogievetsky, Senya Shlosman
Generalizing the octahedral configuration of six congruent cylinders touching the unit sphere, we exhibit configurations of congruent cylinders associated to a pair of dual Platoni…
Extremal Cylinder Configurations II: Configuration
Oleg Ogievetsky, Senya Shlosman
We study the octahedral configurations of six equal cylinders touching the unit sphere. We show that the configuration is a local sharp maximum of the distance function…