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Geometric Influences II: Correlation Inequalities and Noise Sensitivity
Influences geometric influences noise sensitivity correlation between increasing sets Talagrand’s bound Gaussian measure isoperimetric inequality
2012/6/25
In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as ...
Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
A sharp correlation inequality with an application to almost sure local limit theorem
Correlation inequality i.i.d. random variables lattice distributed
2011/2/21
We prove a new sharp correlation inequality for sums of i.i.d.square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theorem for iid square in...
Cross-Correlation Dynamics in Financial Time Series
Correlation Matrix Eigenspectrum Analysis Econophysics
2010/4/27
The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the...
Multiscaled Cross-Correlation Dynamics in Financial Time-Series
Cross-Correlation Dynamics Financial Time-Series
2010/4/27
The cross correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Tran...