Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

phase of S-wall seed (displacement) and phase from SW differential #25

Closed
plonghi opened this issue Sep 27, 2015 · 2 comments
Closed

phase of S-wall seed (displacement) and phase from SW differential #25

plonghi opened this issue Sep 27, 2015 · 2 comments

Comments

@plonghi
Copy link
Collaborator

plonghi commented Sep 27, 2015

When seeding S walls at branch points, the phase of the displacement of a seed should match
well with that of
e^{i (\theta+pi)} / (x_j - x_i)
However, in certain situations the deviation is significant, not sre if because of numerics or a conceptual mistake.
An example is given by the (unexpected) bending of trajectories when running the config file seeding_type_I, choosing the second configuration within that file.
(The deviation of the phase will be displayed in the output by setting logging mode to 'debug')

Added a short note to the 'documentation' folder, explaining how the current seeding is handled for 3 classes of ramification points (more to add, e.g. for E-type degenerate cases), to help scrutinizing the current logic.

@plonghi
Copy link
Collaborator Author

plonghi commented Dec 9, 2015

A memo on an additional improvement.
When computing seeds for branch points of higher ramification index, it's important to avoid picking pairs of sheets that corresponds to weights whose difference isn't a root.
As of now, we compute the sheets, and impose some conditions on the pairs of weights, to avoid doing this.
But it should be possible to use directly the algorithm for sheet-weight alignment to figure out if a pair of sheets is suitable for seeding. The key point is that, while the alignment won't give the actual sheet-weight identification in this case (because that would require tracking sheets from the trivialization basepoint), it should nevertheless give one correct possible sheet-weight identification.
This is enough information to drop all un-suitable sheet pairs when seeding.

@plonghi
Copy link
Collaborator Author

plonghi commented Dec 23, 2015

Found the cause of this and fixed in the branch results_for_note

@plonghi plonghi closed this as completed Dec 23, 2015
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
None yet
Projects
None yet
Development

No branches or pull requests

1 participant