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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Renewal Systems, Sharp-Eyed Snakes, And Shifts Of Finite Type, Aimee S. A. Johnson, K. M. Madden
Renewal Systems, Sharp-Eyed Snakes, And Shifts Of Finite Type, Aimee S. A. Johnson, K. M. Madden
Mathematics & Statistics Faculty Works
Johnson and Madden look at collections of bi-infinite strings of symbols that occur in several different areas of mathematics and ask whether these collections are the same in some sense. A dynamical systems property called entropy can be used to show that the shifts of finite type are not all conjugate to uniquely decipherable renewal systems.
A Specht Module Analog For The Rook Monoid, Cheryl Grood
A Specht Module Analog For The Rook Monoid, Cheryl Grood
Mathematics & Statistics Faculty Works
The wealth of beautiful combinatorics that arise in the representation theory of the symmetric group is well-known. In this paper, we analyze the representations of a related algebraic structure called the rook monoid from a combinatorial angle. In particular, we give a combinatorial construction of the irreducible representations of the rook monoid. Since the rook monoid contains the symmetric group, it is perhaps not surprising that the construction outlined in this paper is very similar to the classic combinatorial construction of the irreducible Sn-representations: namely, the Specht modules.
Hat Derivatives, Stephen B. Maurer , '67
Hat Derivatives, Stephen B. Maurer , '67
Mathematics & Statistics Faculty Works
No abstract provided.