5 papers
On a discrete max-plus transportation problem
Sergio Mayorga, Eugene Stepanov, Pedro Barrios
We provide an explicit algorithm to solve the idempotent analogue of the discrete Monge-Kantorovich optimal mass transportation problem with the usual real number field replaced by…
Modeling formation and transport of clusters at high temperature and pressure gradients by implying partial chemical equilibrium
Eugene V. Stepanov, Alexander F. Gutsol
A theoretical approach to describing transport of an entire ensemble of clusters with different sizes as a single species in gas has been developed. The major assumption is an exis…
On the signature of squared distance matrices of metric measure spaces
Alexey Kroshnin, Tianyu Ma, Eugene Stepanov
We consider the numbers of positive and negative eigenvalues of matrices of squared distances between randomly sampled i.i.d. points in a given metric measure space. These numbers…
On the total surface area of potato packings
Matteo Novaga, Emanuele Paolini, Eugene Stepanov
We prove that if we fill without gaps a bag with infinitely many potatoes, in such a way that they touch each other in few points, then the total surface area of the potatoes must…
On eigenvalues and eigenfunctions of the operators defining multidimensional scaling on some symmetric spaces
Tianyu Ma, Eugene Stepanov
We study asymptotics of the eigenvalues and eigenfunctions of the operators used for constructing multidimensional scaling (MDS) on compact connected Riemannian manifolds, in parti…