11 citations · 16 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2010★ 11 cited
Vicious Lévy flights
Igor Goncharenko, Ajay Gopinathan
We study the statistics of encounters of Lévy flights by introducing the concept of vicious Lévy flights - distinct groups of walkers performing independent Lévy flights with the p…
cond-mat.stat-mech2010★ 5 cited
Vicious walks with long-range interactions
Igor Goncharenko, Ajay Gopinathan
The asymptotic behaviour of the survival or reunion probability of vicious walks with short-range interactions is generally well studied. In many realistic processes, however, walk…
hep-th2009
Exact Spectral Dimension of the Random Surface
Igor Goncharenko
We propose a new method of the analytical computation of the spectral dimension which is based on the equivalence of the random walk and the q-state Potts model with non-zero magne…