Non-Archimedean replicator dynamics and Eigen’s paradox
نویسندگان
چکیده
منابع مشابه
Dynamics of non-archimedean Polish groups
A topological group G is Polish if its topology admits a compatible separable complete metric. Such a group is non-archimedean if it has a basis at the identity that consists of open subgroups. This class of Polish groups includes the profinite groups and (Qp, +) but our main interest here will be on non-locally compact groups. In recent years there has been considerable activity in the study o...
متن کاملWandering Domains in Non-archimedean Polynomial Dynamics
We extend a recent result on the existence of wandering domains of polynomial functions defined over the p-adic field Cp to any algebraically closed complete non-archimedean field CK with residue characteristic p > 0. We also prove that polynomials with wandering domains form a dense subset of a certain one-dimensional family of degree p + 1 polynomials in CK [z]. Given a rational function φ ∈ ...
متن کاملReplicator Dynamics in Protocells
Replicator equations have been studied for three decades as a generic dynamical system modelling replication processes. Here we show how they arise naturally in models of self-replicating polymers and discuss some of their basic properties. We then concentrate on a minimal dynamic model of a protocell by coupling replicating polymers with a growing membrane.
متن کاملNon-Archimedean Probabilities and Non-Archimedean Bayesian Networks
In the paper we consider non-Archimedean fuzziness and probabilities. The idea of non-Archimedean multiple-validities is that (1) the set of values for the vagueness and probability is uncountable infinite and (2) this set is not wellordered. For the first time the non-Archimedean logical multiple-validity was proposed in [13], [14]. We propose non-Archimedean fuzziness that is defined on an in...
متن کاملWandering Domains and Nontrivial Reduction in Non-archimedean Dynamics
Let K be a non-archimedean field with residue field k, and suppose that k is not an algebraic extension of a finite field. We prove two results concerning wandering domains of rational functions φ ∈ K(z) and Rivera-Letelier’s notion of nontrivial reduction. First, if φ has nontrivial reduction, then assuming some simple hypotheses, we show that the Fatou set of φ has wandering components by any...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2018
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aaebb1