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INVARIANCE OF THE WHITE NOISE FOR KDV
, 2009
"... We prove the invariance of the mean 0 white noise for the periodic KdV. First, we show that the Besovtype space b b s p,∞, sp < −1, contains the support of the white noise. Then, we prove local wellposedness in b s p, ∞ for p = 2+, s = − 1 + such that 2 sp < −1. In establishing the local we ..."
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Cited by 21 (11 self)
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We prove the invariance of the mean 0 white noise for the periodic KdV. First, we show that the Besovtype space b b s p,∞, sp < −1, contains the support of the white noise. Then, we prove local wellposedness in b s p, ∞ for p = 2+, s = − 1 + such that 2 sp < −1. In establishing the local
Biases in white noise analysis . . .
 PRESENTED AT: THE ANNUAL COMPUTATIONAL NEUROSCIENCE MEETING (CNS*02), CHICAGO, ILLINOIS
, 2002
"... White noise analysis methods for characterizing neurons typically ignore the dynamics of neural spike generation, assuming that spikes arise from an inhomogeneous Poisson process. We show that when spikes arise from a leaky integrateand fire mechanism, a classical whitenoise estimate of a neuro ..."
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White noise analysis methods for characterizing neurons typically ignore the dynamics of neural spike generation, assuming that spikes arise from an inhomogeneous Poisson process. We show that when spikes arise from a leaky integrateand fire mechanism, a classical whitenoise estimate of a
On the Autocorrelation of Complex Envelope of White Noise
"... Published in Viswanathan, R. (2006). On the autocorrelation of complex envelope of white noise. ..."
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Published in Viswanathan, R. (2006). On the autocorrelation of complex envelope of white noise.
White Noise Calculus
"... It has been often said that white noise calculus is founded on an infinite dimensional analogue of Schwartz type distribution theory on a finite dimensional space. In fact, the Gelfand triple $(E)\subset(L^{2})=L^{2}(E^{*}, \mu)\subset(E)^{*}$ ..."
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Cited by 1 (1 self)
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It has been often said that white noise calculus is founded on an infinite dimensional analogue of Schwartz type distribution theory on a finite dimensional space. In fact, the Gelfand triple $(E)\subset(L^{2})=L^{2}(E^{*}, \mu)\subset(E)^{*}$
Amplification induced by white noise
, 2008
"... We investigate the amplification of the field induced by white noise. In the present study, we study a stochastic equation which has two parameters, the energy ω ( k) of a free particle and the coupling strength D between the field and white noise, where the quantity k represents the momentum of a f ..."
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We investigate the amplification of the field induced by white noise. In the present study, we study a stochastic equation which has two parameters, the energy ω ( k) of a free particle and the coupling strength D between the field and white noise, where the quantity k represents the momentum of a
Unit Roots in White Noise
, 2009
"... We show that the empirical distribution of the roots of the vector autoregression of order n fitted to T observations of a general stationary or nonstationary process, converges to the uniform distribution over the unit circle on the complex plane, when both T and n tend to infinity so that (ln T) ..."
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) /n → 0 and n3 /T → 0. In particular, even if the process is a white noise, the roots of the estimated vector autoregression will converge by absolute value to unity.
A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS
, 2011
"... A note on convolution operators in white noise calculus ..."
WICK DERIVATIONS ON WHITE NOISE FUNCTIONALS
"... The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space.E; / as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Lebesgue measure. The mathematical framework of white noise ..."
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The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space.E; / as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Lebesgue measure. The mathematical framework of white noise
Results 1  10
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378,910