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Localization stabilized by noise
Journal of Statistical Physics, 1994We present a model which describes a quantum two-state system interacting with the environment represented by stochastic noise. We show that coherent tunneling between the two states survives if the interaction with the environment is weak. On the contrary, a strong interaction destroys quantum coherence and the system randomly jumps from one state to ...
Blanchard Ph +4 more
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Cell characterization for noise stability
Proceedings of the IEEE 2000 Custom Integrated Circuits Conference (Cat. No.00CH37044), 2002Verifying whether a digital standard-cell design is functional in the presence of interconnect coupling noise is an important concern to ASIC designers. Determining whether the coupling noise occurring on a node is excessive requires comparing this noise against the dynamic noise margins of the receiving gates.
Kenneth L. Shepard, K. Chou
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Stability measurements on noise sources
IEEE Transactions on Instrumentation and Measurement, 2001We report results of stability and repeatability measurements performed on a selection of different noise sources for selected frequencies between 12 GHz and 26.5 GHz. Measurements cover intervals classified as intermediate term (about 1 week) and long term (about 1 year or more).
J. Randa +2 more
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Noise trading and market stability
The European Journal of Finance, 2019Noise traders are often thought to be detrimental to market stability, increasing volatility and the risk of bubbles and crashes. The effect of noise traders on the learning and development of informed traders, however, has received little attention. We consider a computational model of a derivatives market containing informed traders and noise traders
Gao Xing, Daniel Ladley
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Stabilization of Linear Systems by Noise
SIAM Journal on Control and Optimization, 1983It is proved that the biggest Lyapunov number $\lambda _{\max } $ of the system $\dot x = (A + F(t))x$, where A is a fixed $d \times d$ matrix and $F(t)$ is a zero mean strictly stationary matrix-valued stochastic process, satisfies ${1 / d}$ trace $A \leqq \lambda _{\max } $.
Arnold, Ludwig +2 more
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Stabilization by Noise Revisited
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1990AbstractGiven a d × d matrix A and a d × k matrix B. We investigate how the stability behavior of ẋ = (A + BG(t)) × can be improved by a k × d matrix‐valued white noise process G(t). The analysis is based on the theory of Lyapunov exponents (exponential growth rates) and uses an averaging principle.
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On the stability of the basis pursuit in the presence of noise
Signal Processing, 2006Given a signal S ∈ RN and a full-rank matrix D ∈ RN × L with N < L, we define the signal's overcomplete representation as α ∈ RL satisfying S= Dα. Among the infinitely many solutions of this under-determined linear system of equations, we have special interest in the sparsest representation, i.e., the one minimizing ||α||0.
David L. Donoho, Michael Elad
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Noise-induced global asymptotic stability
Journal of Statistical Physics, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mackey, Michael C. +2 more
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2009
This chapter contains sections titled: Noise Types Limiting Displacement Shielding Grounding ...
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This chapter contains sections titled: Noise Types Limiting Displacement Shielding Grounding ...
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Stability of the Tree of Shapes to Additive Noise
2021The tree of shapes (ToS) is a famous self-dual hierarchical structure in mathematical morphology, which represents the inclusion relationship of the shapes (\textiti.e. the interior of the level lines with holes filled) in a grayscale image. The ToS has already found numerous applications in image processing tasks, such as grain filtering, contour ...
Boutry, Nicolas, Tochon, Guillaume
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