2024/11/14 by Károly J. Böröczky, M. Domokos, Boroczky, Karoly J. +9 · 1 citation
Computer Science · Engineering · Mathematics · #3D Modeling in Geospatial Applications #Data Management and Algorithms #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2411.09383
openalex publication_date 2024/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify translatively exponential and GL(2,Z) covariant valuations on lattice polygons valued at measurable real functions. A typical example of such valuations is induced by the Laplace transform, but as it turns out there are many more. The argument uses the ergodicity of the linear action of SL(2,Z) on R2, and some elementary properties of the Fibonacci numbers.