On certain Littlewood-like and Schmidt-like problems in inhomogeneous   Diophantine approximations
  We give several results related to inhomogeneous approximations to two real numbers and badly approximable numbers. Our results are related to classical theorems by A. Khintchine (1926) and to an original method invented by Y. Peres and W. Schlag (2001). 
Nikolay Moshchevitin
math.NT