Finite-dimensional randomness

Abstract

The fixed oxide charge in a p-type silicon wafer forms a depletion layer composing a capacitor at the wafer surface, and an impulse surface photovoltage (iSPV) appears across the depletion layer when photocarriers excited by an impulse photon beam are stored in the capacitor. The iSPV eventually disappears when excess electrons and holes in the capacitor recombine with each other through conductive paths owing to crystal imperfection and/or interface traps. Two decay times of 7.3 and 8.4 ms have been observed for the original mirror-polished and additionally dry-etched surfaces of a sample wafer of 75 mm diameter; the longer decay time suggests higher crystal quality.

Statistical properties of dynamical chaos

“…Under appropriate definitions of noise sources, the method of SE and the method of evolution equations must yield the equivalent statistical description of the system [62,63,64,66]. Of special interest is the problem of statistical characteristics of dynamical chaos and of the role of fluctuations in chaotic systems [6,7,19,42,66,67,68,69,70]. For systems with chaotic dynamics of the hyperbolic type, the transition to a statistical description already is possible in a purely deterministic case; that is, without noise [6,7,19,70].…”

“…Of special interest is the problem of statistical characteristics of dynamical chaos and of the role of fluctuations in chaotic systems [6,7,19,42,66,67,68,69,70]. For systems with chaotic dynamics of the hyperbolic type, the transition to a statistical description already is possible in a purely deterministic case; that is, without noise [6,7,19,70]. This means that the stationary solution of the evolution equation for the probability density allows the presence of the limit D → 0, where D is the noise intensity, and there is the possibility of deducing an expression for the probability measure in a purely deterministic case.…”

Chaotic-based hybrid negative selection algorithm and its applications in fault and anomaly detection

“…The literature is rich in chaotic maps, such as logistic map, tent map, circle map, sinusoidal operator and others. Two interesting dynamic systems evidencing chaotic behavior are the Arnold's cat map (Heidari & McGillem, 1994) and Sinai map (Sinai, 1991), whose equations are given in Eqs. (3) and (4), respectively.…”

Statistical properties of dynamical chaos

“…Of special interest is the problem of statistical characteristics of dynamical chaos and of the role of fluctuations in chaotic systems [6,7,19,42,66,67,68,69,70]. For systems with chaotic dynamics of the hyperbolic type, the transition to a statistical description already is possible in a purely deterministic case; that is, without noise [6,7,19,70].…”