Linear Fractional p-Adic and Adelic Dynamical Systems

Details Linear Fractional p-Adic and Adelic Dynamical Systems Linear Fractional p-Adic and Adelic Dynamical Systems

2006-12-18

arxiv.org/abs/math-ph/0612058v1

Reports on Mathematical Physics 60 (2007) 55-68

Physics

Mathematical Physics

17 pages

Scientific paper

10.1016/S0034-4877(07)80098-X

Using an adelic approach we simultaneously consider real and p-adic aspects of dynamical systems whose states are mapped by linear fractional transformations isomorphic to some subgroups of GL (2, Q), SL (2, Q) and SL (2, Z) groups. In particular, we investigate behavior of these adelic systems when fixed points are rational. It is shown that any of these rational fixed points is p-adic indifferent for all but a finite set of primes. Thus only for finite number of p-adic cases a rational fixed point may be attractive or repelling. It is also shown that real and p-adic norms of any nonzero rational fixed point are connected by adelic product formula.

Affiliated with

Also associated with

No associations

Rating

Linear Fractional p-Adic and Adelic Dynamical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Linear Fractional p-Adic and Adelic Dynamical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear Fractional p-Adic and Adelic Dynamical Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-5327