On the Number of Cycles of p-adic Dynamical Systems

By A. Khrennikov, Marcus Nilsson. 2001

47 citations recorded by the source corpus.

We found the asymptotics, p→∞, for the number of cycles for iteration of monomial functions in the fields of p-adic numbers. This asymptotics is closely connected with classical results on the distribution of prime numbers.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ebb7c1a0ff3c45a271bc26282306b3d40a424dfe

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In Computational Theory and Mathematics

1. Lingmin Liao
2. A. Fan

In Mathematical Physics

1. Lingmin Liao
2. A. Fan
3. De-Jun Feng
4. Daniel Thompson

Citations in the corpus

• Boolean Monomial Dynamical Systems (2004, background): “In particular, the case of monomials has been considered [ 11 ], which are the focus of the present paper.”
• ON MINIMAL DECOMPOSITION OF p-ADIC POLYNOMIAL DYNAMICAL SYSTEMS (2010, background): “Recently the theory of Non-Archimedean, in particular of p-adic, dynamical systems has been intensively developed ([6, 7, 8], [13], [14], [16], [17], [18], [19, 20], [24], [26], [30], [33], [37], [39]).”