Consider the Schrödinger operators H± = −d/dx ± V (x). We present a method for estimating the potential in terms of the negative eigenvalues of these operators. Among the applications are inverse Lieb-Thirring inequalities and several sharp results concerning the spectral properties of H±.

In this article, we derive a new covariance estimate. The estimate has a similar structure as the Brascamp-Lieb inequality and is optimal for ferromagnetic Gaussian measures. It can be naturally applied to deduce decay of correlations of lattice systems of continuous spins. We also discuss the relation of the new estimate with known estimates like a weighted estimate due to Helffer & Ledoux. Th...

(2016). Calcium dependent plasticity applied to repetitive transcranial magnetic stimulation with a neural field model. (2016). Real-time automated EEG tracking of brain states using neural field theory. propensity under forced desynchrony in a model of arousal state dynamics. (2016). The spatiotemporal hemodynamic response function for depth-dependent functional imaging of human cortex. (2015)...

Dame Carol Robinson, Professor of Chemistry at Oxford University, has excelled at pushing electrospray mass spectrometry to places thought impossible. With the technique, which analyzes aerosolized droplets of samples, she has studied the structure and function of membrane proteinsmolecules that are present in all cells and are popular drug targets. Katharine Sanderson recently met with Robins...

The role of Bertotti–Robinson geometry in the attractor mechanism of extremal black holes is described for the case of N = 2 supersymmetry. Its implication for a modelindependent derivation of the Bekenstein–Hawking entropy formula is discussed. Talk given at the 12th Italian Conference on General Relativity and Gravitational Physics Rome, September 1996 CERN-TH/97-10 January 1997 BERTOTTI–ROBI...

A nonlinear model for biological and physical dynamical interactions in a laminar flow field being upwelled into the mixed layer Robinson(1999) (Fig 1, below) has been extended to turbulent flow (Goodman and Robinson, 2007). The approach of the Goodman and Robinson theory has been to develop a probability density function (pdf) for the turbulent displacement field and use that to calculate the ...

The Robinson-Schensted correspondence, a bijection between nonnegative matrices and pair of tableaux, is investigated. The representation, in the tableau, of the dihedral symmetries of the matrix are derived in a simple manner using a shapepreserving anti-isomorphism of the platic monoid. The Robinson-Schensted correspondence is shown to be equivalent to the Hillman-Grass1 bijection between rev...

Air is one of the most important substances used in industrial and technological applications. Applications air require a consistent set reliable data on its thermodynamic thermophysical properties. Over last few decades, researchers have developed number empirical theoretical models for correlation prediction properties pure fluids mixtures. The ideal gas Equation State (EoS) property calculat...