Recent years have seen a significant rise of interest in max-linear theory and techniques.
Specialised international conferences and seminars or special sessions devoted to max …

This paper is a brief introduction to idempotent and tropical mathematics. Tropical
mathematics can be treated as the result of the so-called Maslov dequantization of the …

The concept of the limiting step gives the limit simplification: the whole network behaves as a
single step. This is the most popular approach for model simplification in chemical kinetics …

Steadily growing applications of game theory in modern science (including psychology,
biology and economics) require sources to provide rapid access in both classical tools and …

Abstract The “Law of the Minimum” states that growth is controlled by the scarcest resource
(limiting factor). This concept was originally applied to plant or crop growth (Justus von …

We study the dynamics of correlation and variance in systems under the load of
environmental factors. A universal effect in ensembles of similar systems under the load of …

Max cones are max-algebraic analogs of convex cones. In the present paper we develop a
theory of generating sets and extremals of max cones in R+ n. This theory is based on the …

We prove that the weak* topologization of the set of all idempotent measures (Maslov
measures) on compact Hausdorff spaces defines a functor on the category of compact …

This paper is a very brief introduction to idempotent mathematics and related topics. It
appears as an introductory paper in the volume Idempotent Mathematics and Mathematical …

The concept of the limiting step is extended to the asymptotology of multiscale reaction
networks. Complete theory for linear networks with well separated reaction rate constants is …