If φ is a Pisot substitution of degree d, then the inflation and substitution homeomorphism Φ on the tiling space TΦ factors via geometric realization onto a d-dimensional solenoid. Under this realization, the collection of Φ-periodic asymptotic tilings corresponds to a finite set that projects onto the branch locus in a d-torus. We prove that if two such tiling spaces are homeomorphic, then th...

I formulate and study a series of simple one-locus two-allele models for maternal (parental) selection. I show that maternal (parental) selection can result in simultaneous stability of equilibria of different types. Thus, in the presence of maternal (parental) selection the outcome of population evolution can significantly depend on initial conditions. With maternal selection, genetic variabil...

Assuming age-independent fertilities and mortalities and random mating, continuous-time models for a monoecious population are investigated for weak selection. A single locus with multiple alleles and two alleles a t each of two loci are considered. A slow-selection analysis of diallelic and multiallelic twolocus models with discrete nonoverlapping generations is also presented. The selective d...

Traditionally, one giraffe species and up to eleven subspecies have been recognized [1]; however, nine subspecies are commonly accepted [2]. Even after a century of research, the distinctness of each giraffe subspecies remains unclear, and the genetic variation across their distribution range has been incompletely explored. Recent genetic studies on mtDNA have shown reciprocal monophyly of the ...

Weak selection in a monoecious population is studied in two multiallelic panmictic models. In the first, a single locus is considered with continuous time and age-independent fertilities and mortalities. If the fertilities of the various matings and the genotypic mortalities may be expressed with an error at most of the second order in s (i.e., O(s2)), where s is the intensity of selection, as...

locus of control refers to the extent to which individuals believe they can control events affecting them. social anxiety disorder, also known as social phobia, is the most common anxiety disorder. it is characterized by intense fear in one or more social situations. the aim of this study was to investigate the relationship between locus of control with anxiety and social phobia in adolescent’s...