On a Theorem of Gundersen and Laine.
Geometric Optimization and Dp-Completeness.
Maximal regularity of second-order evolution equations with infinite delay in Banach spaces
By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.
On von Kármán spectrum from a view of fractal
Von Kármán originally deduced his spectrum of wind speed fluctuation based on the Stockes-Navier equation. That derivation, however, is insufficient to exhibit the fractal information of time series, such as wind velocity fluctuation. This paper gives a novel derivation of the von Kármán spectrum based on fractional Langevin equation, aiming at establishing the relationship between the conventional von Kármán spectrum and fractal dimension. Thus, the present results imply that a time series that...
Fractal time series -- A tutorial review.
A class of negatively fractal dimensional Gaussian random functions.
Inégalité de Sobolev sur l'espace de Poisson
Construction de l'opérateur de Malliavin sur l'espace de Poisson
Un traitement unifié de la représentation des fonctionnelles de Wiener
Fast and Robust Orientation of Cryo-Electron Microscopy Images
We present an efficient and reliable algorithm for determining the orientations of noisy images obtained fromprojections of a three-dimensional object. Based on the linear relationship among the common line vectors in one image plane, we construct a sparse matrix, and show that the coordinates of the common line vectors are the eigenvectors of the matrix with respect to the eigenvalue 1. The projection directions and in-plane rotation angles can be determined fromthese coordinates. A robust computation...
On stability of forcing relations for multidimensional perturbations of interval maps
We show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.
Rational modules and higher order Cauchy transforms.
Variance bound of ACF estimation of one block of fGn with LRD.
An adaptive approach for defending against DDoS attacks.
Modulus of Approximate Continuity for R(X).
An Approximate Taylor's Theorem for R(X).
Detection of variations of local irregularity of traffic under DDOS flood attack.
Large deviations for some Poisson random integrals
On the predictability of long-range dependent series.
Nonlinear time-varying spectral analysis: HHT and MODWPT.
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