#16102: Including code to compute Lyapunov exponents for translation surfaces.
-------------------------------------+-------------------------------------
Reporter: Fougeroc | Owner:
Type: task | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: geometry | Resolution:
Keywords: | Merged in:
lyapunov_exponents, | Reviewers: Vincent Delecroix
translation_surfaces, geometry, | Work issues:
sagedays57 | Commit:
Authors: Charles Fougeron | e91fca75a50a1f229b183604958da47ecf801ec6
Report Upstream: N/A | Stopgaps:
Branch: |
u/Fougeroc/Lyapunov_exponents_for_translation_surfaces|
Dependencies: |
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Description changed by Fougeroc:
Old description:
> Code for studying lyapunov exponents of translation surfaces and their
> covers.
>
> UPDATE:
> * ''See compatibility with other existing code for interval echanges
> and strata''
> compatible with code for quadratic and abelian stratum components
>
> {{{
> sage: q = QuadraticStratum([7,1,-1,-1,-1,-1]).components()[0]
> sage: q.lyapunov_exponents()
> sage: q.lyapunov_exponents_H_plus()
> }}}
>
> BUG:
> * There is a bug for zero lyapunov exponents when decomposing in
> isotropic components :
>
> {{{
> sage: import
> sage.dynamics.flat_surfaces.lyapunov_exponents.interval_exchange as intex
> sage: R = intex.cyclic_cover_iet(4, [1, 1, 1, 1])
> sage: R.lyapunov_exponents_H_plus()
> [0.9996553085103, 0.0007776980910571506, 0.00022201024035355403]
> sage: R.lyapunov_exponents_H_plus_isotopic()
> [[], [1.0002381322489762], [-0.09753642448496574],
> [-0.09750440918016302]]
>
> }}}
New description:
Code for studying lyapunov exponents of translation surfaces and their
covers.
UPDATE:
* ''See compatibility with other existing code for interval echanges and
strata''
compatible with code for quadratic and abelian stratum components
{{{
sage: q = QuadraticStratum([7,1,-1,-1,-1,-1]).components()[0]
sage: q.lyapunov_exponents()
[1.0006353514168902,
0.44659813628011014,
0.43073741652656045,
0.2278515712988079,
0.18675189999010267,
0.07722243283694208]
sage: q.lyapunov_exponents_H_plus()
[0.44777037675789444, 0.185001855706418]
}}}
BUG:
* There is a bug for zero lyapunov exponents when decomposing in
isotropic components :
{{{
sage: import
sage.dynamics.flat_surfaces.lyapunov_exponents.interval_exchange as intex
sage: R = intex.cyclic_cover_iet(4, [1, 1, 1, 1])
sage: R.lyapunov_exponents_H_plus()
[0.9996553085103, 0.0007776980910571506, 0.00022201024035355403]
sage: R.lyapunov_exponents_H_plus_isotopic()
[[], [1.0002381322489762], [-0.09753642448496574], [-0.09750440918016302]]
}}}
--
--
Ticket URL: <http://trac.sagemath.org/ticket/16102#comment:11>
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