10 citations · 16 across the 6 of their papers we have counts for
7 papers
Interleaving of path sets
William C. Abram, Jeffrey C. Lagarias, Daniel Slonim
Path sets are spaces of one-sided infinite symbol sequences corresponding to the one-sided infinite walks beginning at a fixed initial vertex in a directed labeled graph. Path sets…
Decimation and Interleaving Operations in One-Sided Symbolic Dynamics
William C. Abram, Jeffrey C. Lagarias, Daniel J. Slonim
This paper studies subsets of one-sided shift spaces on a finite alphabet. Such subsets arise in symbolic dynamics, in fractal constructions, and in number theory. We study a famil…
Intersections of multiplicative translates of -adic Cantor sets II: two infinite families
William C. Abram, Artem Bolshakov, Jeffrey C. Lagarias
This paper continues the study of the structure of finite intersections of general multiplicative translates $\mathcal{C}(M_1,\ldots,M_n)=\frac{1}{M_1}Σ_{3,\bar{2}}\cap\cdots\cap\f…
A note on the equivariant formal group law of the equivariant complex cobordism ring
William C. Abram
For a finite abelian group , we compute the -equivariant formal group law corresponding to the -equivariant complex cobordism spectrum with its canonical complex orientati…
Intersections of multiplicative translates of 3-adic Cantor sets
William Abram, Jeffrey C. Lagarias
Motivated by a question of Erdős, this paper considers questions concerning the discrete dynamical system on the 3-adic integers given by multiplication by 2. Let the 3-adic Cantor…
p-adic path set fractals and arithmetic
William Abram, Jeffrey C. Lagarias
This paper considers a class C(Z_p) of closed sets of the p-adic integers obtained by graph-directed constructions analogous to those of Mauldin and Williams over the real numbers.…
Path sets in one-sided symbolic dynamics
William Abram, Jeffrey C. Lagarias
Path sets are spaces of one-sided infinite symbol sequences associated to pointed graphs (G_v_0), which are edge-labeled directed graphs G with a distinguished vertex v_0. Such set…