108 citations · 197 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2010★ 89 cited
On distributions of functionals of anomalous diffusion paths
Shai Carmi, Lior Turgeman, Eli Barkai
Functionals of Brownian motion have diverse applications in physics, mathematics, and other fields. The probability density function (PDF) of Brownian functionals satisfies the Fey…
cond-mat.stat-mech2009★ 108 cited
From non-Brownian Functionals to a Fractional Schrödinger Equation
Lior Turgeman, Shai Carmi, Eli Barkai
We derive backward and forward fractional Schrödinger type of equations for the distribution of functionals of the path of a particle undergoing anomalous diffusion. Fractional sub…