12 citations · 28 across the 7 of their papers we have counts for
7 papers
On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product
Any Muanalifah, Sergei Sergeev
Tropical linear algebra has been recently put forward by Grigoriev and Shpilrain as a promising platform for implementation of protocols of Diffie-Hellman and Stickel type. Based o…
On common eigenvectors for semigroups of matrices in tropical and traditional mathematics
Grigory Shpiz, Grigory Litvinov, Sergei Sergeev
We prove the existence of a common eigenvector for commutative, nilpotent and quasinilpotent semigroups of matrices with complex or real nonnegative entries both in the conventiona…
An interval version of separation by semispaces in max-min convexity
Viorel Nitica, Sergei Sergeev
We study separation of a closed box from a max-min convex set by max-min semispace. This can be regarded as an interval extension of known separation results. We give a constructiv…
Idempotent and tropical mathematics and problems of mathematical physics (Volume I)
Grigory Litvinov, Victor Maslov, Sergei Sergeev
This volume contains the proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of…
Idempotent and tropical mathematics and problems of mathematical physics (Volume II)
Grigory Litvinov, Victor Maslov, Sergei Sergeev
This volume contains the proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of…
Cyclic projectors and separation theorems in idempotent convex geometry
Stephane Gaubert, Sergei Sergeev
Semimodules over idempotent semirings like the max-plus or tropical semiring have much in common with convex cones. This analogy is particularly apparent in the case of subsemimodu…