4 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 Automatic Groups and Numerical Characteristics of Turing Transducers
Dmitry Berdinsky
This paper is devoted to the problem of finding characterizations for Cayley automatic groups. The concept of Cayley automatic groups was recently introduced by Kharlampovich, Khou…
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…