Let X be a regular linear diffusion whose state space is an open interval E ⊆ R. We consider a diffusion X∗ which probability law is obtained as a Doob htransform of the law of X, where h is a positive harmonic function for the infinitesimal generator of X on E. This is the dual of X with respect to h(x)m(dx) where m(dx) is the speed measure of X. Examples include the case where X∗ is X conditi...

Phase inversion in liquid-liquid dispersions corresponds to the transitional boundary between Oil-in-Aqueous dispersion and Aqueous-in-Oil dispersion. A theoretical model based on simple assumptions was proposed to predict phase inversion point, ambivalence region and the hysteresis effect of inversion. Experimental data from the literature were used to validate the model and results were c...

shear-wave velocity ( ) is an important parameter used for site characterization in geotechnical engineering. however, dispersion curve inversion is challenging for most inversion methods due to its high non-linearity and mix-determined trait. in order to overcome these problems, in this study, a joint inversion strategy is proposed based on the particle swarm optimization (pso) algorithm. the ...

introduction anterior talofibular ligament (atfl) rupture is the most commonly injured anatomic structure in lateral ankle sprain. in some cases, atfl avulsion fracture from the lateral malleolus may occur instead of purely ligamentous injuries. the atfl avulsion fracture is detected as a small ossicle at the tip of lateral malleolus on direct radiographs, which is called os subfibulare in chro...

Joint inversions are now commonly used in the earth sciences. They have been developed to better understand the structure of the earth, since they provide more constraints on the inverted parameters. We propose a new process to simultaneously invert several data sets in order to better image 3D crustal and upper mantle structures. Our inversion uses three kinds of data that present good complem...

The titled problem of coupled thermoelasticity for porous structure has been solved with an instantaneous heat source acting on a plane area in an unbounded medium. The basic equations of thermoelasticity, after being converted into a one-dimensional form, have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach for the field variables in the ...

Under operator, matrix and inverse theory, seismic-wave imaging can be considered a unified process—mapping from data space to model space. The main topics in seismic-wave imaging include (1) seismic-data interpolation, regularization and redatuming, which mainly decrease the imaging noise; (2) seismic-wave illumination analysis, which predicts whether a target reflector can be imaged and evalu...

This paper presents an articulatory codebook construction method which gives a good space coverage with a limited number of points. We represent the articulatory space by hypercubes. Therefore the articulatory space is decomposed into regions represented by few number of points. We describe our interpolation method to retrieve points from the hypercube and the inversion method based on the same...