We survey our current knowledge of circuit complexity of regular languages and we prove that regular languages that are in AC0 and ACC0 are all computable by almost linear size ci...
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
We consider di usion processes on a class of R trees. The processes are de ned in a manner similar to that of Le Gall's Brownian snake. Each point in the tree has a real value...
In this paper we study the possibility of proving the existence of one-way functions based on average case hardness. It is well-known that if there exists a polynomial-time sample...
We examine classes of distributional problems defined in terms of polynomial-time decision algorithms with bounded error probability. The class AvgP [5] has been characterized in...