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pro vyhledávání: '"Maloney, Gregory"'
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
Thirty years ago, Effros and Shen classified the simple dimension groups with rank two. Every such group is parametrized by an irrational number, and can be constructed as an inductive limit using that number's continued fraction expansion. There is
Externí odkaz:
http://hdl.handle.net/1807/24315
Publikováno v:
Critical Reviews in Food Science & Nutrition; Jun2024, Vol. 64 Issue 18, p6218-6238, 21p
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