Looking for some works on the applications of tropical geometry and tropical semirings for the problems of engineering, biotechnology, computer science etc. Please recommend some authors in this branches.
A good reference for applications of tropical geometry is "Tropical and Idempotent Mathematics: International Workshop Tropical-07, Tropical and Idempotent Mathematics. American Mathematical Society, ISBN 9780821847824".
Another reference for applications of tropical geometry to industry is the following article: "An algebraic approach to time borrowing" by
David Broomhead, Steve Furber, and Marianne Johnson (2012). http://eprints.maths.manchester.ac.uk/
I shall mention that the paper by D. Broomhead et. al. was published in
IET Computers and Digital Techniques Vol. 7 (2013), no. 1, pp.1-10. (DOI: 10.1049/iet-cdt.2012.0103)
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