57 citations · 59 across the 2 of their papers we have counts for
2 papers
math.CA2011★ 2 cited
Search on the Brink of Chaos
Yuliy Baryshnikov, Vadim Zharnitsky
The classical linear search problem is studied from the view point of Hamiltonian dynamics. For the specific, yet representative case of exponentially distributed position of the h…
chao-dyn1994★ 57 cited
Complexity of Trajectories in Rectangular Billiards
Yuliy Baryshnikov
Revised version: some minor errors and typos fixed; exposition watered. Abstract: To a trajectory of a billiard in parallelogram we assign its symbolic trajectory - the sequence of…