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Mathematics Commons

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1999

Mathematics & Statistics Faculty Works

Articles 1 - 3 of 3

Full-Text Articles in Mathematics

The Weyr Characteristic, Helene Shapiro Dec 1999

The Weyr Characteristic, Helene Shapiro

Mathematics & Statistics Faculty Works

No abstract provided.


The Decomposition Theorem For Two-Dimensional Shifts Of Finite Type, Aimee S. A. Johnson, K. M. Madden May 1999

The Decomposition Theorem For Two-Dimensional Shifts Of Finite Type, Aimee S. A. Johnson, K. M. Madden

Mathematics & Statistics Faculty Works

A one-dimensional shift of finite type can be described as the collection of bi-infinite "walks" along an edge graph. The Decomposition Theorem states that every conjugacy between two shifts of finite type can be broken down into a finite sequence of splittings and amalgamations of their edge graphs. When dealing with two-dimensional shifts of finite type, the appropriate edge graph description is not as clear; we turn to Nasu's notion of a "textile system" for such a description and show that all two-dimensional shifts of finite type can be so described. We then define textile splittings and amalgamations and prove …


Nontoric Hamiltonian Circle Actions On Four-Dimensional Symplectic Orbifolds, S. F. Singer, Janet Talvacchia, N. Watson Mar 1999

Nontoric Hamiltonian Circle Actions On Four-Dimensional Symplectic Orbifolds, S. F. Singer, Janet Talvacchia, N. Watson

Mathematics & Statistics Faculty Works

We construct four-dimensional symplectic orbifolds admitting Hamiltonian circle actions with isolated fixed points, but not admitting any Hamiltonian action of a two-torus. One example is linear, and one example is compact.