On 10/05/15 21:51, Dima Pasechnik wrote: > On Sunday, 10 May 2015 19:11:27 UTC+1, vdelecroix wrote: >> On 10/05/15 19:43, Dima Pasechnik wrote: >>> A random polynomial for sure won't have the properties your polynomial >>> probably has (e.g. all roots real). >> >> Nope, but the characteristic polynomial of a "random" matrix in SL(d,R) >> would ;-) >> > > really? I'd say a random symmetric matrix in M_d(R), yes, surely, but not > in SL_d(R)...
Depends on your definition of random. If you pick any non-degenerate generating set and look at a random product of length > d^2 then yes. Though, I do not know for the definition of random as "uniform on all matrices in SL_d(R) with coefficients less than N". Vincent -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
