10 citations · 34 across the 7 of their papers we have counts for
8 papers
Dynamical phase transition for a logarithm observable in chaotic systems
Lucianno Defaveri, Naftali R. Smith
We consider the full distribution of the dynamical observable where is a sequence generated by a chaotic map via $x_{…
Remarkable similarities in distributions of dynamical observables in chaotic systems
Lucianno Defaveri, Naftali R. Smith
The study of chaotic systems, where rare events play a pivotal role, is essential for understanding complex dynamics due to their sensitivity to initial conditions. Recently, tools…
Nonequilibrium steady state of Brownian motion in an intermittent potential
Soheli Mukherjee, Naftali R. Smith
We calculate the steady state distribution of the position of a Brownian particle under an intermittent confining potential that switches on and of…
Full distribution of the ground-state energy of potentials with weak disorder
Naftali R. Smith
We study the full distribution of the ground-state energy of a single quantum particle in a potential $V(\boldsymbol{x}) = V_0(\boldsymbol{x}) + \sqrtε \, v_1(\boldsymbol{x}…
Large deviations in statistics of the local time and occupation time for a run and tumble particle
Soheli Mukherjee, Pierre Le Doussal, Naftali R. Smith
We investigate the statistics of the local time that a run and tumble particle (RTP) in one dimension spends at the origin, with or witho…
Optimal finite-differences discretization for the diffusion equation from the perspective of large-deviation theory
Naftali R. Smith
When applying the finite-differences method to numerically solve the one-dimensional diffusion equation, one must choose discretization steps , in space and time, respecti…
Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a potential
Naftali R. Smith
We study the fluctuations of the area under a one-dimensional Brownian motion in a trapping potential , at long times . We find th…
Large deviations in statistics of the convex hull of passive and active particles: A theoretical study
Soheli Mukherjee, Naftali R. Smith
We investigate analytically the distribution tails of the area A and perimeter L of a convex hull for different types of planar random walks. For N noninteracting Brownian motions…