Fixed-point theorems in infinite-dimensional spaces
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The steady states of the Fenton–Karma, the Courtemanche and the Nygren cell models were studied by determining the fixed points of the dynamical system describing their cell kinetics. The linear stability of the fixed points was investigated, as well as th ...
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In this work we will introduce and analyze the Arbitrary Lagrangian Eulerian formulation for a model problem of a scalar advection-diffusion equation defined on a moving domain. Moving from the results illustrated in our previous work [J. Num. Math. 7 (199 ...
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The framework of graphical models is a cornerstone of applied Statistics, allowing for an intuitive graphical specification of the main features of a model, and providing a basis for general Bayesian inference computations though belief propagation (BP). I ...
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We show that the finite-length scaling parameters for irregular LDPC codes when used over the binary erasure channel can be computed without resorting to ``covariance evolution''. We provide simple expressions that can be evaluated using solely the degree ...
