18 citations · 26 across the 3 of their papers we have counts for
12 papers
Constrained non-crossing Brownian motions, fermions and the Ferrari-Spohn distribution
Tristan Gautié, Naftali R. Smith
A conditioned stochastic process can display a very different behavior from the unconditioned process. In particular, a conditioned process can exhibit non-Gaussian fluctuations ev…
Kernels for noninteracting fermions via a Green's function approach with applications to step potentials
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +2
The quantum correlations of noninteracting spinless fermions in their ground state can be expressed in terms of a two-point function called the kernel. Here we develop a genera…
Counting statistics for non-interacting fermions in a -dimensional potential
Naftali R. Smith, Pierre Le Doussal, Satya N. Majumdar +1
We develop a first-principle approach to compute the counting statistics in the ground-state of noninteracting spinless fermions in a general potential in arbitrary dimensions…
Noninteracting trapped Fermions in double-well potentials: inverted parabola kernel
Naftali R. Smith, David S. Dean, Pierre Le Doussal +2
We study a system of noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at it…
The Airy distribution: experiment, large deviations and additional statistics
Tal Agranov, Pini Zilber, Naftali R. Smith +3
The Airy distribution (AD) describes the probability distribution of the area under a Brownian excursion. The AD is prominent in several areas of physics, mathematics and computer…
Time-averaged height distribution of the Kardar-Parisi-Zhang interface
Naftali R. Smith, Baruch Meerson, Arkady Vilenkin
We study the complete probability distribution of the time-averaged height at point of an evolving…