4 papers
Deogen: Automatic Benchmark Generation for Reasoning over Policies
Sam Kouteili, William Liang, Keeran Murray +4
Language models are increasingly being deployed in regulated settings, where a model must apply given rules to the facts of a situation to determine a verdict. Benchmarking this ca…
Eigenvalues and eigenfunctions of the non-local dispersal with Neumann-type boundary condition and symmetric kernel
Maciej Tadej
In this paper, we investigate the eigenvalue problem for a non-local dispersal operator defined on a bounded spatial domain with Neumann-type boundary conditions. Unlike the classi…
Extinction and persistence criteria in non-local Klausmeier model of vegetation dynamics on flat landscapes
Maciej Tadej, Ricardo Martinez-Garcia, Michael Hecht
This paper investigates the dynamics of vegetation patterns in water-limited ecosystems using a generalized Klausmeier model that incorporates non-local plant dispersal within a fi…
Long time behaviour of solutions to non-local and non-linear dispersion problems
Maciej Tadej
This paper explores a non-linear, non-local model describing the evolution of a single species. We investigate scenarios where the spatial domain is either an arbitrary bounded and…