This volume considers resistance networks: large graphs which are connected, undirected,
and weighted. Such networks provide a discrete model for physical processes in …

We study the renormalization for potentials defined by R (V):= V◦ T◦ H+ V◦ H, where T: X О is
the dynamics, H: X→ X is one-to-one and V: X→ R is a potential. We explain how this …

Continued Fractions and Dynamics SCIRP LOGO ACCESS LOGO Home Journals Books
Conferences News About Us Jobs Applied Mathematics Vol.5 No.7(2014), Article ID:44811,24 …

Previously, several natural integral transforms of the Minkowski question mark function $ F
(x) $ were introduced by the author. Each of them is uniquely characterized by certain …

The Minkowski question mark function?(x) arises as a real distribution of rationals in the
Farey tree. We examine the generating function of moments of?(x). It appears that the …

The spectrum of a one-parameter family of signed transfer operators associated to the Farey
map is studied in detail. We show that when acting on a suitable Hilbert space of analytic …

In this paper, we consider the transfer operator approach to the Ruelle and Selberg zeta
functions associated with continued fraction transformations and the geodesic flow on the …

Continued fractions are linked to Stern's diatomic sequence 0, 1, 1, 2, 1, 3, 2, 3, 1, 4,...(given
by the recursion relation a_2n= a_n and a_ {2n+ 1}= a_n+ a_ {n+ 1}, where a_0= 0 and …

The Minkowski question mark function F (x) arises as a real distribution function of rationals
in the Farey (alias, Stern-Brocot or Calkin-Wilf) tree. In this thesis we introduce its three …

In this paper we are interested in moments of the Minkowski question mark function?(x). It
appears that, to some extent, the results are analogous to results obtained for objects …