The pearl of plagiarism by rewording/renaming can be found in the publication of J.E. Row, Vose, M.D. and Wright, A.H.:
“Differentiable coarse graining” Theoretical Computer Science vol.361, pages 111-129, 2006 http://www.cs.bham.ac.uk/~jer/papers/sdarticle-28.pdf
This is a paper with claimed mathematical novelty published in a known journal in computer science. In fact, the authors borrowed without giving credit research from the theory of dynamical systems and presented it to the computer scientists as their own new theory.
This is an example of unscrupulous plagiarism. The authors simply renamed as “coarse graining” the classical concept of morphism of dynamical systems. Please compare their definition of coarse graining with the following definitions.
“Definition 1. (Morphisms)
1. A morphism \phi: (X,T) \to (Y,S) between two dynamical systems is a map \phi: X \to Y which intertwines T and S in the sense that S \circ \phi = \phi \circ T.”
and from Jon Jaquette “Category Theory . Pertaining to Dynamical Systems ” May 16, 2009
“We can construct a category of dynamical systems. This category of dynamical systems has objects which are dynamical systems; all objects are sets with an attached endomorphism. The arrows between objects in this category are required to commute with the endomaps, i.e. if the dynamical systems (X, α) and (Y, β) are in our category, then f : X ? Y is allowed iff α ◦ f = f ◦ β. [1, p.152,164] Requiring f to be isomorphic and continuous produces a category of homeomorphic dynamical systems. ”
In the light of the last definitions, don’t you think that the authors should have cited thefollowing publications as well?
Boris Mitavskiy “Comparing Evolutionary Computation Techniques via Their Representation.” Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2003)
Boris Mitavskiy “A Category Theoretic Method for Comparing Evolutionary Computation Techniques via Their Representation”. Proceedings of the 15th European Summer School in Logic Language and Information (ESSLLI-2003)