Substitutions in dynamics, arithmetics and combinatorics

Resource Information

The work Substitutions in dynamics, arithmetics and combinatorics represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Substitutions in dynamics, arithmetics and combinatorics

Statement of responsibility

N. Pytheas Fogg ; editors, V. Berthé [and others]

Creator

• Pytheas Fogg, N

Contributor

• Berthé, V., (Valérie), 1957-

Subject

• Combinatorial analysis
• Computational complexity
• Rewriting systems (Computer science)

Language

eng

Summary

A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems

Member of

• Lecture notes in mathematics (Springer-Verlag), 1794

Cataloging source

DLC

Dewey number

• 510 s
• 511.3

Illustrations

illustrations

Index

index present

LC call number

• QA3
• QA267

LC item number

.L28 no. 1794

Literary form

non fiction

Nature of contents

bibliography

Series statement

Lecture notes in mathematics,

Series volume

1794