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Discrete Recurrence

Posted 9 years ago

I'm trying to resolve Proposition 1 from the article below(page 4).

http://arxiv.org/pdf/1506.04656.pdf

Thank you.

POSTED BY: Raluca R
5 Replies
Posted 9 years ago

Thank you Henrick. You lighted me up again.

Regarding the multivariate recurrence it can't be the same. For example, for the bivariate recurrence t is (t1,t2). In the same article (page 11), is a bivariate example. Do you think that it could be implemented in Mathematica, eventually in a recurrence plot?

POSTED BY: Raluca R
Posted 9 years ago

I got this enter image description here

Could you, please, tell me why?

POSTED BY: Raluca R

Hi Raluca,

well, this is not Maple ...

You need to define an equation, i.e. it should read after RSolve x[t+1] == a[t] ... In a notebook both operators (= and ==) look very similar.

Regarding your question on multivariate recurrence: I may be completely wrong, but to me this seems equivalent to your first problem. In the solution there is nowhere stated that every element needs to be a scalar.

Regards -- Henrik

POSTED BY: Henrik Schachner

Hi,

what did you try ???

There is a function RSolve which is exactly made for this kind of task:

enter image description here

Regards -- Henrik

POSTED BY: Henrik Schachner
Posted 9 years ago

I tried in Maple because I have never used Mathematica.

I see it is better for this kind of problems.

You don't know how much you helped me. This recurrence stressed me a lot last couple of days.

Do you think I could resolve a multivariate recurrence like Lemma1 (page 5) from the same article?

Thank you so much.

Best wishes and regards,

Raluca

POSTED BY: Raluca R
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