21 citations · 81 across the 13 of their papers we have counts for
7 papers · 1 filter
Semi-Poisson nearest-neighbor distance statistics for a 2D dissipative map
Jamal Sakhr
Typical pseudotrajectories of 2D ergodic maps are known to possess Wignerian nearest-neighbor distance distributions (NNDDs). In the case of 2D chaotic dissipative maps, bounded ap…
The Wigner distribution and 2D classical maps
Jamal Sakhr
The Wigner spacing distribution has a long and illustrious history in nuclear physics and in the quantum mechanics of classically chaotic systems. In this paper, a novel connection…
Distance characteristics of ergodic trajectories in two-dimensional non-integrable systems: Reduced phase space
Jamal Sakhr
A fundamental process for any given chaotic flow is the deterministic point process (DPP) generated by any chaotic trajectory of the flow repeatedly crossing a canonical surface-of…
Poisson-to-Wigner crossover transition in the nearest-neighbor spacing statistics of random points on fractals
Jamal Sakhr, John M. Nieminen
We show that the nearest-neighbor spacing distribution for a model that consists of random points uniformly distributed on a self-similar fractal is the Brody distribution of rando…
Zeta Function Zeros, Powers of Primes, and Quantum Chaos
Jamal Sakhr, Rajat K. Bhaduri, Brandon P. van Zyl
We present a numerical study of Riemann's formula for the oscillating part of the density of the primes and their powers. The formula is comprised of an infinite series of oscillat…
Semiclassical Trace Formulas for Noninteracting Identical Particles
Jamal Sakhr, Niall D. Whelan
We extend the Gutzwiller trace formula to systems of noninteracting identical particles. The standard relation for isolated orbits does not apply since the energy of each particle…