Authors:Pawel Hanus, R. Mauldin and Mariusz Urbański
We develop the thermodynamic formalism for equilibrium states of strongly Hlder families of functions. These equilibrium
states are supported on the limit set generated by iterating a system of infinitely many contractions. The theory of these
systems was laid out in an earlier paper of the last two authors. The first five sections of this paper except Section 3 are
devoted to developing the thermodynamic formalism for equilibrium states of Hlder families of functions. The first three
sections provide us with the tools needed to carry out the multifractal analysis for the equilibrium states mentioned above
assuming that the limit set is generated by conformal contractions. The theory of infinite systems of conformal contractions
is laid out in . The multifractal analysis is then given in Section 7. In Section 8 we apply this theory to some examples
from continued fraction systems and Apollonian packing.
The solvent extraction of molybdenum(VI) from sulphuric acid solutions with di-(2-ethylhexyl)-phosphoric acid (HDEHP) and
monododecylphosphoric acid (HDDP) in n-heptane has been studied (a) as a function of the concentration of sulphuric acid,
molybdenum and the extractant; (b) in the presence of copper and zinc in the aqueous phase and (c) in the presence of tri-n-butylphosphate
(TBP) in the organic phase. The distribution of the sulphuric acid between aqueous and organic phase has also been studied.