51 citations · 58 across the 4 of their papers we have counts for
8 papers
The Maslov dequantization, idempotent and tropical mathematics: A brief introduction
G. L. Litvinov
This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional…
The Maslov dequantization, idempotent and tropical mathematics: a very brief introduction
Grigori Litvinov
This paper is a very brief introduction to idempotent mathematics and related topics.
Nuclear semimodules and kernel theorems in idempotent analysis. An algebraic approach
Grigori Litvinov, Grigori Shpiz
In this note we describe conditions under which, in idempotent functional analysis, linear operators have integral representations in terms of idempotent integral of V. P. Maslov.…
Idempotent (Asymptotic) Mathematics and the Representation Theory
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
A brief survey of some basic ideas of the so-called Idempotent Mathematics is presented; an "idempotent" version of the representation theory is discussed. The Idempotent Mathemati…
Tensor products of idempotent semimodules. An algebraic approach
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
We study idempotent analogs of topological tensor products in the sense of A. Grothendieck. The basic concepts and results are simulated on the algebraic level. This is one of a se…
Exact interval solutions to the discrete Bellman equation and polynomial complexity of problems in interval idempotent linear algebra
Grigori Litvinov, Andrei Sobolevskii
In this note we construct a solution of a matrix interval linear equation of the form X=AX+B (the discrete stationary Bellman equation) over partially ordered semirings, including…