3 papers
math.RA2025
Blocks in Finite Hyperfields
David Hobby
This paper studies the structure of finite hyperfields , and finds a subtle pattern in their addition operation. Consider the class of all hyperfields with a given…
math.RA2023
Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields
David Hobby, Jaiung Jun
We introduce a class of hyperfields which includes several constructions of non-quotient hyperfields. We then use it to partially answer a question posed by M. Baker and T. Zhang:…
math-ph2020
Laplace invariants of differential operators
David Hobby, Ekaterina Shemyakova
We identify conditions giving large natural classes of partial differential operators for which it is possible to construct a complete set of Laplace invariants. In order to do tha…