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4 votes
0 answers
99 views

String rewrite system for algebraic knots/links?

$\newcommand\over{\vert}\newcommand\rot[1]{\mathopen<#1\mathclose>}$By its definition, an algebraic tangle, and by extension, its closure (knot or link) can be written as a string (of ...
Hauke Reddmann's user avatar
1 vote
1 answer
171 views

Terminology for set of infinite strings with a certain prefix

Let $\mathcal{A}$ be a finite alphabet, and let $C$ be the Cantor space $\mathcal{A}^\omega$ under the product topology. Given a finite string $s \in \mathcal{A}^*$, let $C(s)$ be the set of all ...
Jim Belk's user avatar
  • 8,483
10 votes
3 answers
2k views

How to characterize a Self-avoiding path.

I cannot find any answer to that apparently simple problem : On a square lattice, a path is given by a sequence of relative moves in {"move forward", "turn right" and "turn left"}. Is there a rule ...
Alexis Monnerot-Dumaine's user avatar