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A grand challenge in complex embedded systems design is developing methods and tools for modeling and analyzing the behavior of an application software running on multicore or distributed platforms. We propose a rigorous method and a tool chain that allows ...
We develop a doubly spectral representation of a stationary functional time series, and study the properties of its empirical version. The representation decomposes the time series into an integral of uncorrelated frequency components (Cramer representatio ...
FAIMS's ion separation mechanism is based on analyte's characteristic nonlinear relationship between its ion mobility and applied electric field strength. Present characterization methods for this nonlinear relationship are based on precarious assumptions ...
The system {-u '' + u = u(3) + lambda v, u(x)= u(-x) is an element of R, x is an element of R, -v '' + v = v(3) + lambda u, v(x) = v(-x) is an element of R, x is an element of R, describes pulses in nonlinear fiber couplers. It has the family (U1+lambda, - ...
We study a kinetic mean-field equation for a system of particles with different sizes, in which particles are allowed to coagulate only if their sizes sum up to a prescribed time-dependent value. We prove well-posedness of this model, study the existence o ...
We consider the radial wave equation in similarity coordinates within the semigroup formalism. It is known that the generator of the semigroup exhibits a continuum of eigenvalues and embedded in this continuum there exists a discrete set of eigenvalues wit ...
Color image demosaicking is a key process in the digital imaging pipeline. In this paper, we present a rigorous treatment of a classical demosaicking algorithm based on alternating projections (AP). Since its publication, the AP algorithm has been widely c ...
The deferred update technique is a widely used approach for building replicated database systems. Its fame stems from the fact that read-only transactions can execute locally to any single database replica, providing good performance for workloads where tr ...
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The deferred update technique is a widely used approach for building replicated database systems. Its fame stems from the fact that read-only transactions can execute locally to any single database replica, providing good performance for workloads where tr ...
We will discuss in this survey article a new framework for analysing computations on time series and in particular on spike trains, introduced in (Maass et. al. 2002). In contrast to common computational models this new framework does not require that info ...