21 citations · 31 across the 6 of their papers we have counts for
8 papers
Minimal Area of a Voronoi Cell in a Packing of Unit Circles
A. Mazel, I. Stuhl, Y. Suhov
We present a new self-contained proof of the well-known fact that the minimal area of a Voronoi cell in a unit circle packing is equal to , and the minimum is achieved o…
Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order
Izabella Stuhl, Petr Vojtěchovský
There is a one-to-one correspondence between involutory latin quandles and uniquely -divisible Bruck loops. Bruck loops of odd prime power order are centrally nilpotent. Using l…
High-density hard-core model on triangular and hexagonal lattices
A. Mazel, I. Stuhl, Y. Suhov
We perform a rigorous study of the Gibbs statistics of high-density hard-core random configurations on a unit triangular lattice and a unit honeycomb graph $\mathbb{…
Weighted entropy: basic inequalities
Mark Kelbert, Izabella Stuhl, Yuri Suhov
This paper represents an extended version of an earlier note [10]. The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-depe…
Weighted entropy and optimal portfolios for risk-averse Kelly investments
Mark Kelbert, Izabella Stuhl, Yuri Suhov
Following a series of works on capital growth investment, we analyse log-optimal portfolios where the return evaluation includes `weights' of different outcomes. The results are tw…
On principles of large deviation and selected data compression
Yuri Suhov, Izabella Stuhl
The Shannon Noiseless coding theorem (the data-compression principle) asserts that for an information source with an alphabet and an asymptotic e…