output
20122024
most citedStructure of the condensed phase in the inclusion process

13 citations

18 papers

math.GR2024

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…

math.GR2023★ 1 cited

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…

cs.FL2023

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…

math.CO2021★ 7 cited

The Card Guessing Game: A generating function approach

Tipaluck Krityakierne, Thotsaporn Aek Thanatipanonda

Consider a card guessing game with complete feedback in which a deck of cards ordered is riffle-shuffled once. With the goal to maximize the number of correct gues…

math.GR2020★ 2 cited

Cayley Polynomial-Time Computable Groups

Dmitry Berdinsky, Murray Elder, Prohrak Kruengthomya

We propose a new generalisation of Cayley automatic groups, varying the time complexity of computing multiplication, and language complexity of the normal form representatives. We…

math.NT2020★ 2 cited

A functional identity for Mahler measures of non-tempered polynomials

Detchat Samart

We establish a functional identity for Mahler measures of the two-parametric family . Our result extends an identity proven in a paper of Lalín, Zudi…