tropical analysis

The max tropical semiring can be used appropriately to determine marking times within a given Petri net and a vector filled with marking state at the beginning: $-\backslash infty$ (unit for max, tropical addition) means "never before", while 0 (unit for addition, tropical multiplication) is "no additional time".

Tropical cryptography is cryptography based on the tropical semiring.

Tropical geometry is an analog to algebraic geometry, using the tropical semiring.

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• {{cite arXiv |author-link= |eprint=math/0507014v1 |title= The Maslov dequantization, idempotent and tropical mathematics: A brief introduction|class= |last1= Litvinov|first1= G. L.|year= 2005}}

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• {{citation|title=Max-linear Systems: Theory and Algorithms|first=Peter|last=Butkovič|series=Springer Monographs in Mathematics|doi=10.1007/978-1-84996-299-5|publisher=Springer-Verlag|year=2010|isbn=978-1-84996-298-8|url=http://swbplus.bsz-bw.de/bsz329518011inh.htm |url-access=subscription}}
• {{cite book |title=Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications |url=https://press.princeton.edu/titles/8120.html |author1=Bernd Heidergott |author2=Geert Jan Olsder |author3=Jacob van der Woude |year=2005 |isbn=978-0-69111763-8 |pages=224|publisher=Princeton University Press }}

• Lunar arithmetic

• [http://maxplus.org/ MaxPlus algebra]
• [http://www.cmap.polytechnique.fr/~gaubert/maxplus.html Max Plus] working group, INRIA Rocquencourt

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Category:Tropical geometry