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This is a review of statistical inference methodology for stochastic differential equations driven by fractional Brownian motion, otherwise called fractional diffusions. The first section reviews the theory needed to rigorously define them.…

Results on soft and hard diffraction are briefly reviewed and placed in a QCD perspective using a parton model approach. Issues addressed include factorization, scaling properties, universality of rapidity gap formation, and unitarity.…

In this letter we derive the Froissart boundary in QCD for the deep inelastic structure function in low $x$ kinematic region. We show that the comparison of the Froissart boundary with the new HERA experimental data gives rise to a…

Discussion on "Brownian distance covariance" by G\'abor J. Sz\'ekely and Maria L. Rizzo [arXiv:1010.0297]

This submission is a comment on an article that had previously appeared in Phys. Rev. Lett.

Critiques presented by P. Grassberger in Phys. Rev. Lett. 95, 140601 (2005) are addressed.

In this version of the paper the exposition is improved and gaps in some of the arguments filled following referee comments. We also include an appendix explaining the equivalence of flaring conditions for a metric bundle and the canonical…

This note is the follow up to a paper by M. Waldschmidt.

These are lecture notes from my talks at the "Current Developments in Mathematics" conference (Harvard, 2006). They cover a variety of topics involving symplectic cohomology. In particular, a discussion of (algorithmic) classification…

We provide our reply to the comment by Greiter and Schuricht (cond-mat/0511607).

Margin theory provides one of the most popular explanations to the success of \texttt{AdaBoost}, where the central point lies in the recognition that \textit{margin} is the key for characterizing the performance of \texttt{AdaBoost}. This…

Based on comments made at the 23rd Solvay Conference, December 2005, Brussels.

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.

A reply to the comment by S. Friedemann et al. [arXiv:1207.0536] on our article [Phys. Rev. Lett. 106, 137002 (2011), arXiv:1012.0303].

Science opportunities and recommendations concerning optical/infrared polarimetry for the upcoming decade in the field of Galactic science. Community-based White Paper to Astro2010 in response to the call for such papers.

How aesthetically pleasing is your country's diffraction pattern? This work summarizes the calculated and experimental Fraunhofer diffraction patterns obtained from using apertures lithographically formed into shapes of national borders.…

This paper gives a short survey of some basic results related to estimates of fractional integrals and Fourier transforms. It is closely adjoint to our previous survey papers \cite{K1998} and \cite{K2007}. The main methods used in the paper…

Comment on ``Lancaster Probabilities and Gibbs Sampling'' [arXiv:0808.3852]

This is a reply to cond-mat/0211660 by A.K. Taganstev, which consists of a set of criticisms of our publications on polarisation fatigue in Applied Physics Letters. Although his comments were rejected by Applied Physics Letters more than…

A conjecture of Talagrand (2010) states that the so-called expectation and fractional expectation thresholds are always within at most some constant factor from each other. In this note we generalize a method of DeMarco and Kahn and settle…