2 citations · 5 across the 11 of their papers we have counts for
15 papers
On constant mean curvature surfaces in the Heisenberg group
Dmitry Berdinsky
We study constant mean curvature surfaces in the three-dimensional Heisenberg group. We prove that a constant mean curvature surface in a neighborhood of non-umbilic point is descr…
Extending the Synchronous Fellow Traveler Property
Prohrak Kruengthomya, Dmitry Berdinsky
We introduce an extension of the fellow traveler property which allows fellow travelers to be at distance bounded from above by a function growing slower than any linear fun…
Cayley Linear-Time Computable Groups
Prohrak Kruengthomya, Dmitry Berdinsky
This paper looks at the class of groups admitting normal forms for which the right multiplication by a group element is computed in linear time on a multi-tape Turing machine. We s…
String Compression in FA-Presentable Structures
Dmitry Berdinsky, Sanjay Jain, Bakhadyr Khoussainov +1
We construct a FA-presentation of the structure for which a numerical characteristic defined as the maximum number $ψ…
Finite Automata Encoding Piecewise Polynomials
Dmitry Berdinsky, Prohrak Kruengthomya
Finite automata are used to encode geometric figures, functions and can be used for image compression and processing. The original approach is to represent each point of a figure i…
Being Cayley automatic is closed under taking wreath product with virtually cyclic groups
Dmitry Berdinsky, Murray Elder, Jennifer Taback
We extend work of the first author and Khoussainov to show that being Cayley automatic is closed under taking the restricted wreath product with a virtually infinite cyclic group.…