39 citations · 616 across the 35 of their papers we have counts for
35 papers
The Tracy-Widom distribution at large Dyson index
Alain Comtet, Pierre Le Doussal, Naftali R. Smith
We study the Tracy-Widom (TW) distribution in the limit of large Dyson index . This distribution describes the fluctuations of the rescaled largest eigenvalu…
Confined run and tumble particles with non-Markovian tumbling statistics
Oded Farago, Naftali R. Smith
Confined active particles constitute simple, yet realistic, examples of systems that converge into a non-equilibrium steady state. We investigate a run-and-tumble particle in one s…
Data-driven analysis of annual rain distributions
Yosef Ashkenazy, Naftali R. Smith
Rainfall is an important component of the climate system and its statistical properties are vital for prediction purposes. In this study, we have developed a statistical method for…
Macroscopic fluctuation theory of local time in lattice gases
Naftali R. Smith, Baruch Meerson
The local time in an ensemble of particles measures the amount of time the particles spend in the vicinity of a given point in space. Here we study fluctuations of the empirical ti…
Exact first-order effect of interactions on the ground-state energy of harmonically-confined fermions
Pierre Le Doussal, Naftali R. Smith, Nathan Argaman
We consider a system of spinless fermions, interacting with each other via a power-law interaction , and trapped in an external harmonic potential , in $d=…
Nonequilibrium steady state of trapped active particles
Naftali R. Smith
We consider an overdamped particle with a general physical mechanism that creates noisy active movement (e.g., a run-and-tumble particle or active Brownian particle etc.), that is…
Dynamical phase transition in the occupation fraction statistics for non-crossing Brownian particles
Soheli Mukherjee, Naftali R. Smith
We consider a system of non-crossing Brownian particles in one dimension. We find the exact rate function that describes the long-time large deviation statistics of their occup…
Striking universalities in stochastic resetting processes
Naftali R. Smith, Satya N. Majumdar, Gregory Schehr
Given a random process which undergoes stochastic resetting at a constant rate to a position drawn from a distribution , we consider a sequence of dynamical…
Probabilities of moderately atypical fluctuations of the size of a swarm of Brownian Bees
Pavel Sasorov, Arkady Vilenkin, Naftali R. Smith
The ``Brownian bees'' model describes an ensemble of ~const independent branching Brownian particles. The conservation of is provided by a modified branching process. When…
Exact short-time height distribution and dynamical phase transition in the relaxation of a Kardar-Parisi-Zhang interface with random initial condition
Naftali R. Smith
We consider the relaxation (noise-free) statistics of the one-point height where is the evolving height of a one-dimensional Kardar-Parisi-Zhang (KPZ) interfa…
Nonequilibirum steady state for harmonically-confined active particles
Naftali R. Smith, Oded Farago
We study the full nonequilibirum steady state distribution of the position of a damped particle confined in a harmonic trapping potential and expe…
Exact position distribution of a harmonically-confined run-and-tumble particle in two dimensions
Naftali R. Smith, Pierre Le Doussal, Satya N. Majumdar +1
We consider an overdamped run-and-tumble particle in two dimensions, with self propulsion in an orientation that stochastically rotates by 90 degrees at a constant rate, clockwise…
Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model
Eldad Bettelheim, Naftali R. Smith, Baruch Meerson
We investigate non-stationary heat transfer in the Kipnis-Marchioro-Presutti (KMP) lattice gas model at long times in one dimension when starting from a localized heat distribution…
Large deviations in chaotic systems: exact results and dynamical phase transition
Naftali R. Smith
Large deviations in chaotic dynamics have potentially significant and dramatic consequences. We study large deviations of series of finite lengths generated by chaotic maps. Th…
Condensation transition in large deviations of self-similar Gaussian processes with stochastic resetting
Naftali R. Smith, Satya N. Majumdar
We study the fluctuations of the area under a self-similar Gaussian process (SGP) with Hurst exponent (e.g., standard or fractional Brownian…
Counting statistics for non-interacting fermions in a rotating trap
Naftali R. Smith, Pierre Le Doussal, Satya N. Majumdar +1
We study the ground state of noninteracting fermions in a two-dimensional harmonic trap rotating at angular frequency . The support of the density of the Fermi gas i…
Inverse Scattering Method Solves the Problem of Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model
Eldad Bettelheim, Naftali R. Smith, Baruch Meerson
We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti lattice gas model at long times by uncovering and exploiting complete integrability…
Anomalous scaling and first-order dynamical phase transition in large deviations of the Ornstein-Uhlenbeck process
Naftali R. Smith
We study the full distribution of , , where is an Ornstein-Uhlenbeck process. We find that for the long-ti…
Full counting statistics for interacting trapped fermions
Naftali R. Smith, Pierre Le Doussal, Satya N. Majumdar +1
We study spinless fermions in their ground state confined by an external potential in one dimension with long range interactions of the general Calogero-Sutherland type. For so…
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…