gaioguys / GAIO.jl

A Julia package for set oriented computations.
MIT License
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Allow the user to manually define the image for a TransferOperator #84

Closed April-Hannah-Lena closed 1 year ago

April-Hannah-Lena commented 1 year ago

Currently, the TransferOperator automatically determines the image of a certain domain, that is, if you run

T = TransferOperator(F, W)

then transitions are calculated over the BoxSet W, and the image is just generated.

However, this means that if a set is not truly forward invariant, then the TransferOperator will not be a square matrix. This leads to issues if one wants to calculate approximate eigenvalues of the operator over a compact domain, if the domain is not invariant.

One possible way to solve this is to enumerate the domain and image Boxsets separately:

April-Hannah-Lena commented 1 year ago

Resolved with #88