Principal Peterson's Indebtedness to Prof. Frieze

Prof. Dr. Prof. Prof.

Gait Sequence Analysis Using Frieze Patterns

We analyze walking people using a gait sequence representation that bypasses the need for frame-to-frame tracking of body parts. The gait representation maps a video sequence of silhouettes into a pair of two-dimensional spatio-temporal patterns that are periodic along the time axis. Mathematically, such patterns are called “frieze” patterns and associated symmetry groups “frieze groups”. With ...

Answer to Prof. Störmer's Remark.

1 For references to the work of Friedman, LeMaitre, Robertson, Tolman, Eddington and de Sitter in this field, see Tolman, Proc. Nat. Acad. Sci., 16, 582 (1930). 2 Stern, Zeits. Electrochem., 31, 448 (1925); Trans. Faraday Soc., 21, 477 (1925-26). 8 Tolman, Proc. Nat. Acad. Sci., 12, 670 (1926). 4Tolman, Phys. Rev., 35, 904 (1930). Tolman, Proc. Nat. Acad. Sci., 14, 353 (1928). 6 Tolman, Ibid., ...

Prof. Osler Goes to Oxford

Categorification of a frieze pattern determinant

Broline, Crowe and Isaacs have computed the determinant of a matrix associated to a Conway-Coxeter frieze pattern. We generalise their result to the corresponding frieze pattern of cluster variables arising from the Fomin-Zelevinsky cluster algebra of type A. We give a representation-theoretic interpretation of this result in terms of certain configurations of indecomposable objects in the root...