Search results for "Combinatorics"

BALANCE PROPERTIES AND DISTRIBUTION OF SQUARES IN CIRCULAR WORDS

2010

We study balance properties of circular words over alphabets of size greater than two. We give some new characterizations of balanced words connected to the Kawasaki-Ising model and to the notion of derivative of a word. Moreover we consider two different generalizations of the notion of balance, and we find some relations between them. Some of our results can be generalized to non periodic infinite words as well.

Motives for reflections. Part one

2013

Facsimile of manuscript from the archive of Emanuels Grinbergs, University of Latvia. The article (in three pieces of manuscripts), written in Russian, contains some reflections on graph theory. It may be written in 1973.

Motives for reflections Addendum to part one

2013

The article (in three pieces of manuscripts), written in Russian, contains some reflections on graph theory. It may be written in 1973.

On threeconnected graphs with unique Hamiltonian cycle = О трехсвязный графах ...

2013

Geodesic graphs

2013

In the article, written in Russian, geodesic graphs, graphs with unique shortest path between every two vertices, are considered. Geodesic graphs are trees, odd cycles, and nontrivial example, the graph of Petersen. The article is dated 21.11.74.

Motives for reflections. Part two

2013

E. Gringergs archive manuscripts may be found in the Library of the University of Latvia under https://lira.lanet.lv/F/98QNED45E7J5HDUHLY51HV43QNRX97XCQJPHQ9S6L7HX4FABFB-10883?func=find-b&request=E.Grinberga&find_code=TIT&x=32&y=13&filter_code_1=WLN&filter_request_1=&filter_code_2=WYR&filter_request_2=&filter_code_3=WYR&filter_request_3=&filter_code_4=WFM&filter_request_4=

Comprendre les courses ordinaires : Enjeux et implications pour les grandes surfaces alimentaires

2010

This article aims at registering the common shopping within the framework of the domestic life, like housework. This different perspective allows a better understanding of this behaviour of purchase. Retailers will find in this paper some ideas to improve the customers' satisfaction during the ordinary and regular shopping they do.

Exploratory remarks and discussion on a potential program for interlock even more the mathematics and physics

2021

These remarks are endowed with exploratory argumentation for disrupt further discussion and in favor of the in-depth consolidation of a mathematical and physics identification based on 2 key concepts: 1) finite support and 2) a notion of infinite intrinsic to the usage of the complex numbers. General relativity shows up linked to a kind of a Gelfand representation as an approximation of an analog of a hidden Markov Model. This has deep connections with the Stone–Weierstrass theorem and these discussion are an invitation to the physics community to study the physics x mathematics identification in the case of a holding true multiverse hypothesis. Photon in this setup stands to the analog of …

Statistical properties of general Markov dynamical sources: applications to information theory

2004

In \textitDynamical sources in information theory: fundamental intervals and word prefixes, B. Vallée studies statistical properties of words generated by dynamical sources. This is done using generalized Ruelle operators. The aim of this article is to generalize sources for which the results hold. First, we avoid the use of Grotendieck theory and Fredholm determinants, this allows dynamical sources that cannot be extended to a complex disk or that are not analytic. Second, we consider Markov sources: the language generated by the source over an alphabet \textbfM is not necessarily \textbfM^*.

Models of the population playing the Rock-Paper-Scissors game

2018

We consider discrete dynamical systems coming from the models of evolution of populations playing rock - paper - scissors game . Asymptotic behaviour of trajectories of these systems is described, occurrence of the Neimark-Sacker bifurcation and nonexistence of time averages are proved.