Dimensionality-induced dynamical phase transition in the large deviation of local time density for Brownian motion
{{output}}
We study the fluctuation properties of the local time density, ρ_{T}=1/T∫_{0}^{T}δ(r(t)-1)dt, spent by a d-dimensional Brownian particle at a spherical shell of unit radius, where r(t) denotes the radial distance from the particle to the origin. In the larg... ...
