Algebraic Combinatorics K. Ebrahimi-Fard, ICMAT-CSIC, Madrid, Spain F. Patras, CNRS, Nice, France (3+3 hrs) – The seminal works of G.-C. Rota and his school, have transformed algebraic combinatorics into an important branch of mathematics with connections to a wide variety of subjects, among others, numerical methods for (partial/stochastic) differential equations; control theory; quantum field...

Human-computer interfaces (HCIs) have become ubiquitous. Interfaces such as keyboards and mouses are used daily while interacting with computing devices (Ebrahimi et al., 2003). There is a developing need, however, for HCIs that can be used in situations where these typical interfaces are not viable. Direct brain-computer interfaces (BCI) is a developing field that has been adding this new dime...

We give an account of the Connes-Kreimer renormalization in the context of connected graded Hopf algebras. We first explain the Birkhoff decomposition of characters in the more general context of connected filtered Hopf algebras, then specializing down to the graded case in order to introduce the notions of locality, renormalization group and Connes-Kreimer’s Beta function. The connection with ...

____________________________________________________________________________________________________________________ 1. (Corresponding autho ) PhD student, Department of Pathobiology, School of Veterinary Medicine, Shahid Chamran University of Ahvaz, Ahvaz, Iran. [email protected] 2. PhD student, Department of Pathobiology, School of Veterinary Medicine, Shiraz University, Shiraz, Ira...

The oxy-myoglobin (Mb-O2) structure was probed by QM/MM (hybrid quantum mechanical/ molecular mechanical) calculations using DFT/MM to elucidate the effect of the heme propionates and the protein matrix on the chemistry of heme Fe-O2 moiety. On this line, we have probed the role of His97 in various protonation states of the heme propionate-6.

Shannon entropy is increasingly used in many applications. In this article, an estimator of the entropy of a continuous random variable is proposed. Consistency and scale invariance of variance and mean squared error of the proposed estimator is proved and then comparisons are made with Vasicek's (1976), van Es (1992), Ebrahimi et al. (1994) and Correa (1995) entropy estimators. A simulation st...

Spectral properties of sign symmetric matrices are studied. A criterion for sign symmetry of shifted basic circulant permutation matrices is proven, and is then used to answer the question which complex numbers can serve as eigenvalues of sign symmetric 3 × 3 matrices. The results are applied in the discussion of the eigenvalues of QM -matrices. In particular, it is shown that for every positiv...

We consider classes of models related to those introduced by Lehmann in 1953 and Sklar in 1959. Recently developed algorithms for finding profile NP likelihood procedures are discussed, extended and implemented for such models by combining them with the MM algorithm. In particular we consider statistical procedures for a regression model with proportional expected hazard rates, and for transfor...

Gravity models are widely used to explain patterns of trade. However, two stylized features of trade data, sample selection and heteroskedasticity, challenge the estimation of gravity models. We propose a Two-Step Method of Moments (TS-MM) estimator that deals with both issues. The Monte-Carlo experiments show that the TS-MM estimates are resistant to various combinations of sample selection an...