Abstract
We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in the projective space. We define the notion of a combinatorial Gale transform, which is a duality between periodic difference equations of different orders. We describe periodic rational maps generalizing the classical Gauss map.
Original language | English (US) |
---|---|
Article number | e22 |
Journal | Forum of Mathematics, Sigma |
Volume | 2 |
DOIs | |
State | Published - Feb 1 2014 |
All Science Journal Classification (ASJC) codes
- Analysis
- Theoretical Computer Science
- Algebra and Number Theory
- Statistics and Probability
- Mathematical Physics
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Mathematics