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pro vyhledávání: '"Maloney, Gregory R."'
Autor:
Maloney, Gregory R.
Let p be a prime and G be a torsion-free abelian group. A homomorphism from G to the p-adic integers is called a p-adic functional on G. If G has finite rank, then G can be represented as an inductive limit of an inductive sequence of free abelian gr
Externí odkaz:
http://arxiv.org/abs/1608.02431
Autor:
Maloney, Gregory R.
Let p be a prime. A p-adic functional on a torsion-free abelian group G is a group homomorphism from G to the p-adic integers. The group of all such p-adic functionals is viewed as a p-adic dual group of G, and is studied from the point of view of fu
Externí odkaz:
http://arxiv.org/abs/1607.04586
Autor:
Maloney, Gregory R., Rust, Dan
We study the topology and dynamics of subshifts and tiling spaces associated to non-primitive substitutions in one dimension. We identify a property of a substitution, which we call tameness, in the presence of which most of the possible pathological
Externí odkaz:
http://arxiv.org/abs/1604.01246
Autor:
Maloney, Gregory R.
A dimension group is an ordered abelian group that is an inductive limit of a sequence of simplicial groups, and a stationary dimension group is such an inductive limit in which the homomorphism is the same at every stage. If a simple dimension group
Externí odkaz:
http://arxiv.org/abs/1507.03275
Autor:
Maloney, Gregory R.
Publikováno v:
Discrete Mathematics and Theoretical Computer Science 2015, 17(1), 395-412
A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various
Externí odkaz:
http://arxiv.org/abs/1409.1828
Autor:
Maloney, Gregory R.
Let $G$ be an ordered group that is a direct sum of a rank-one torsion-free abelian group and a finite-rank torsion-free abelian group, with order structure arising from the natural order on the first summand. A necessary condition and a sufficient c
Externí odkaz:
http://arxiv.org/abs/1406.4353
Publikováno v:
Discrete & Computational Geometry 2015, 53(2), 445-465
We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of {\pi}/n. We find new substitution rules admitting 7-fold rotational symmetry at many different inflation fac
Externí odkaz:
http://arxiv.org/abs/1404.5193
Autor:
Gähler, Franz, Maloney, Gregory R.
Publikováno v:
Topology and its Applications 2013, 160(5), 703-719
We compute the Cech cohomology with integer coefficients of one-dimensional tiling spaces arising from not just one, but several different substitutions, all acting on the same set of tiles. These calculations involve the introduction of a universal
Externí odkaz:
http://arxiv.org/abs/1112.1475
We describe a collection of computer scripts written in PARI/GP to compute, for reflection groups determined by finite-volume polyhedra in $\mathbb{H}^3$, the commensurability invariants known as the invariant trace field and invariant quaternion alg
Externí odkaz:
http://arxiv.org/abs/0708.2109
Autor:
Tyndall, Simone M., Maloney, Gregory R., Cole, Martin B., Hazell, Nicholas G., Augustin, Mary Ann
Publikováno v:
Critical Reviews in Food Science & Nutrition; 2024, Vol. 64 Issue 3, p638-653, 16p