A law of the iterated logarithm for the product limit estimator with doubly censored data

We establish the law of the iterated logarithm for the product limit estimator, when the data are subject to double censoring. This investigation extends the results available for the model for singly censored data.     

Indirect controllability of locally coupled systems under geometric conditions

We consider systems of two wave/heat/Schrödinger-type equations coupled by a zero order term, only one of them being controlled. We prove an internal and a boundary null-controllability result in any space dimension, provided that both the coupling and the control regions satisfy the Geometric Control Condition. This includes several examples in which these two regions have an empty intersection.     

Computational investigation of enol/keto chloramphenicol with β-cyclodextrin

PM3 and ONIOM2 were carried out to investigate the structures and properties for the inclusion complexes of chloramphenicol tautomers into β-cyclodextrin (at 1:1 stoichiometry). Two possible orientations into host cavity were considered for both enol and keto chloramphenicol. The PM3 results gives that B orientation is more preferred for enol and keto form, the preference is of 0.63 and 1.67 kcal/mol respectively. This preference is greater in the case of ONIOM2 calculations. Finally, the chemical shifts (ppm) of free and complexed chloramphenicol were calculated at B3LYP/6-31G(d) by (GIAO method) and compared with experimental data taken from the literature.     

Molecular docking study on β-cyclodextrin Interactions of metobromuron and [3-(p-bromophenyl)-1-methoxy-1-methylurea]

The inclusion process involving β-cyclodextrin (β-cyclodextrin-CD) and phenylurea herbicide metobromuron (MB) has been investigated by using the MM+, PM3, B3LYP, HF, ONIOM2 and NBO methods. The binding and complexation energies for both orientations considered in this research are reported. The geometry of the most stable complex shows that the aromatic ring is deeply self-included inside the hydrophobic cavity of β-CD also an intermolecular hydrogen bond is established between host and guest molecules. This suggests that hydrophobic effect and hydrogen bond play an important role in the complexation process. The statistical thermodynamic calculations by PM3 demonstrate that 1:1?MB/β-CD complex is favored by a negative enthalpy change. Moreover, NBO calculations proved also that are a very useful means to quantify the interaction energies of the hydrogen bonds.     

Quantum Secret Sharing with Error Correction

We investigate in this work a quantum error correction on a five-qubits graph state used for secret sharing through five noisy channels. We describe the procedure for the five, seven and nine qubits codes. It is known that the three codes always allow error recovery if only one among the sent qubits is disturbed in the transmitting channel. However, if two qubits and more are disturbed, then the correction will depend on the used code. We compare in this paper the three codes by computing the average fidelity between the sent secret and that measured by the receivers. We will treat the case where, at most, two qubits are affected in each one of five depolarizing channels.