4 citations · 11 across the 8 of their papers we have counts for
8 papers
Expanders with superquadratic growth
Antal Balog, Oliver Roche-Newton, Dmitry Zhelezov
We will prove several expanders with exponent strictly greater than . For any finite set , we prove the following six-variable expander results: \begin{alig…
Improved bounds for arithmetic progressions in product sets
Dmitry Zhelezov
Let be a set of natural numbers of size . We prove that the length of the longest arithmetic progression contained in the product set cannot…
On sets with small additive doubling in product sets
Dmitry Zhelezov
Following the sum-product paradigm, we prove that for a set with polynomial growth, the product set cannot contain large subsets with size of order with small dou…
Portfolio optimization in the case of an asset with a given liquidation time distribution
Ljudmila A. Bordag, Ivan P. Yamshchikov, Dmitry Zhelezov
Management of the portfolios containing low liquidity assets is a tedious problem. The buyer proposes the price that can differ greatly from the paper value estimated by the seller…
A variant of the multi-agent rendezvous problem
Peter Hegarty, Anders Martinsson, Dmitry Zhelezov
The classical multi-agent rendezvous problem asks for a deterministic algorithm by which points scattered in a plane can move about at constant speed and merge at a single poin…
Product sets cannot contain long arithmetic progressions
Dmitry Zhelezov
Let be a set of natural numbers of size . We prove that the length of the longest arithmetic progression contained in the product set cannot…
On a property of random-oriented percolation in a quadrant
Dmitry Zhelezov
Grimmett's random-orientation percolation is formulated as follows. The square lattice is used to generate an oriented graph such that each edge is oriented rightwards (resp. upwar…
Can connected commuting graphs of finite groups have arbitrarily large diameter ?
Peter Hegarty, Dmitry Zhelezov
We present a family of finite, non-abelian groups and propose that there are members of this family whose commuting graphs are connected and of arbitrarily large diameter. If true,…