3 papers
math.RT2002
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…
math.FA2000
Idempotent functional analysis: an algebraic approach
Grigory Litvinov, Viktor Maslov, Grigory Shpiz
In this paper we consider Idempotent Functional Analysis, an `abstract' version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a review of the basi…
quant-ph1999
Nondigital implementation of the arithmetic of real numbers by means of quantum computer media
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
In the framework of a model for quantum computer media, a nondigital implementation of the arithmetic of the real numbers is described. For this model, an elementary storage "cell"…