[KÖNYV][B] Combinatorics, automata and number theory

V Berthé, M Rigo - 2010 - books.google.com
This collaborative volume presents recent trends arising from the fruitful interaction between
the themes of combinatorics on words, automata and formal language theory, and number …

[HTML][HTML] Dynamical directions in numeration

G Barat, V Berthé, P Liardet… - Annales de l'institut …, 2006 - numdam.org
Le but de ce survol est d'aborder définitions et propriétés concernant la numération d'un
point de vue dynamique: nous nous concentrons sur les systèmes de numération, leur …

[KÖNYV][B] Formal languages, automata and numeration systems 1: Introduction to combinatorics on words

M Rigo - 2014 - books.google.com
Formal Languages, Automaton and Numeration Systems presents readers with a review of
research related to formal language theory, combinatorics on words or numeration systems …

[KÖNYV][B] Formal Languages, Automata and Numeration Systems 2: Applications to Recognizability and Decidability

M Rigo - 2014 - books.google.com
The interplay between words, computability, algebra and arithmetic has now proved its
relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite …

Denotational semantics for programming languages, balanced quasi-metrics and fixed points

J Rodríguez-López, S Romaguera… - International Journal of …, 2008 - Taylor & Francis
A new mathematical model is introduced for the study of the domain of words. We do it by
means of the introduction of a suitable balanced quasi-metric on the set of all words over an …

Computing complexity distances between algorithms

S Romaguera, EA Sánchez-Pérez, O Valero - Kybernetika, 2003 - dml.cz
We introduce a new (extended) quasi-metric on the so-called dual p-complexity space,
which is suitable to give a quantitative measure of the improvement in complexity obtained …

Pure Nash equilibria in games with a large number of actions

C Alvarez, J Gabarro, M Serna - International Symposium on Mathematical …, 2005 - Springer
We study the computational complexity of deciding the existence of a Pure Nash Equilibrium
in multi-player strategic games. We address two fundamental questions: how can we …

On the structure of the space of complexity partial functions

S Romaguera, O Valero - International Journal of Computer …, 2008 - Taylor & Francis
Dual complexity spaces were introduced by Romaguera and Schellekens in order to obtain
a robust mathematical model for the complexity analysis of algorithms and programs. This …

[PDF][PDF] Additive functions with respect to numeration systems on regular languages

PJ Grabner, M Rigo - Monatshefte fur Mathematik, 2003 - academia.edu
ADDITIVE FUNCTIONS WITH RESPECT TO NUMERATION SYSTEMS ON REGULAR
LANGUAGES 1. Introduction Additive numeration systems and the c Page 1 ADDITIVE …

Substitutions, abstract number systems and the space filling property

C Fuchs, R Tijdeman - Annales de l'institut Fourier, 2006 - numdam.org
In 1982 Rauzy [36] introduced the Rauzy fractal as a closure of an infinite sequence of
points. He proved that the three parts composing it have disjoint interiors with total area 1 …