. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

We generalize the classical Legendre-Hadamard conditions by using quadratic extensions of the energy around a set of two configurations and obtain new algebraic necessary conditions for nonsmooth strong local minimizers. The implied bounds of stability are easily accessible as we illustrate on a nontrivial example where quasiconvexification is unknown.

In this paper we determine, in dimension three, the effective conductivities of non periodic high-contrast two-phase cylindrical composites, placed in a constant magnetic field, without any assumption on the geometry of their cross sections. Our method, in the spirit of the H-convergence of Murat-Tartar, is based on a compactness result and the cylindrical nature of the microstructure. The homo...

In coupled chaotic bistable systems such as Lorenz and Chua oscillators, two-phase domains are formed. The dynamics of each domain is confined to one phase and typically exhibits two types of behavior: oscillation death or nearly periodic oscillations. We elucidate the role of intrinsic broad time scales on the confinement and the oscillation death.

A computer algorithm is implemented to construct 3D cubic pore networks that simultaneously honor nuclear magnetic resonance (NMR) and mercury injection capillary pressure (MICP) measurements on core samples. The algorithm uses discretized pore-body size distributions from NMR and pore-throat size vs. incremental pore-volume fraction information from MICP as initial inputs. Both pore-throat rad...

One of the most popular methods for modeling students’ knowledge is Corbett and Anderson’s [1] Bayesian Knowledge Tracing (KT) model. The original Knowledge Tracing model does not allow for individualization. In this work, we focus on comparing two different individualized models: the Student Skill model and the two-phase model, to find out which is the best for formulating the individualizatio...

A neurocomputational model is presented for gure-ground discrimination by relative motion. In the model, the correlation type of elementary motion detectors (EMDs), an oscillatory neural network for motion perception and a selective attention module are involved. It is shown that through the oscillatory amplitude and frequency encoding and selective synchronization of phase oscillators, a perfe...