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The backbone decomposition for spatially dependent supercritical superprocesses
Superprocesses N-measure backbone decomposition
2016/1/25
Consider any supercritical Galton-Watson process which may become extinct with positive probability. It is a well-understood and intuitively obvious phenomenon that,on the survival set, the process ma...
Accounting for spatially varying directional effects in spatial covariance structures
Gaussian processes non-stationarity process convolution projection
2012/11/23
Wind direction plays an important role in the spread of pollutant levels over a geographical region. We discuss how to include wind directional information in the covariance function of spatial models...
Bayesian variable selection for spatially dependent generalized linear models
generalized linear models variable selection Bayesian spatially
2012/11/22
Despite the abundance of methods for variable selection and accommodating spatial structure in regression models, there is little precedent for incorporating spatial dependence in covariate inclusion ...
Entrainment of marginally stable excitation waves by spatially extended sub-threshold periodic forcing
stable excitation waves sub-threshold periodic forcing amplitudes frequencies sub-threshold stimuli
2011/7/5
We analyze the e ects of spatially extended periodic forcing on the dynamics of one-dimensional
excitation waves. Entrainment of unstable primary waves has been studied numerically for di erent
ampl...
Fluid-induced pattern-formation in 3D photonic crystals with spatially varying surface functionalization
3D photonic spatially varying surface functionalization
2010/12/28
We introduce a 3D porous photonic crystal whose inner surfaces are chemically functionalized in arbitrary spatial patterns with micro-scale resolution. We use this platform to demonstrate pattern-form...
Explicit Runge-Kutta time integrators for one dimensional spatially discrete semilinear parabolic equation
Semilinear parabolic equation Runge-Kutta methods
2010/9/26
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...
Spatially regularized compressed sensing of diffusion MRI data
Spatially regularized compressed diffusion MRI data
2010/12/3
Despite the relative recency of its inception, the theory of compres-sive sampling (aka compressed sensing) (CS) has already revolutionized multiple areas of applied sciences, a particularly important...
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Solitary waves inhomogeneous nonlinearities nonlinear Schrodinger equations
2010/4/1
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to cons...
Classification of spatially homogeneous rotating space-times according to their conformal vector fields
Direct integration technique Conformal vector field
2010/9/13
Direct integration technique is used to study non conformally flat spatially homogeneous rotating space-times according to their conformal vector fields. It is shown that the above space-times do not ...
Identification of a spatially dependent conductivity in two dimensions
Identification of a spatially dependent conductivity dimensions
2010/9/14
From some measured data on the boundary of a domain in two dimensions, we get the unknown conductivity coefficient in the whole domain by applying Backus-Gilbert method on some integral identity. Prac...