Splitting transference inequalities with the help of Wolfgang Schmidt's   parametric geometry of numbers
  This paper is a sequel to our previous paper arXiv:1105.1554, where we defined two types of intermediate Diophantine exponents, connected them to Schmidt exponents and split Dyson's transference inequality into a chain of inequalities for intermediate exponents. Here we present splitting of some other transference inequalities involving both regular and uniform Diophantine exponents. 
Oleg N. German
math.NT