Spectrum of Exponentially Weighted Covariance Matrices
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The purpose of this thesis is to show on explicit examples how various theoretical concepts, ranging from statistical mechanics to stochastic control and from traffic theory to queuing systems, can be transferred to transport processes, encountered in part ...
In this paper we explore the impact of several sources of uncertainties on the assessment of energy and climate policies when one uses in an harmonized way stochastic programming (SP) in a large scale bottom-up (BU) model and Monte-Carlo simulation (MC) in ...
Interface free energy is the contribution to the free energy of a system due to the presence of an interface separating two coexisting phases at equilibrium. It is also called interfacial free energy or surface tension. The content of the paper is 1) the d ...
Synthetic yet realistic images are valuable for many applications in visual sciences and medical imaging. Typically, investigators develop algorithms and adjust their parameters to generate images that are visually similar to real images. In this study, we ...
It is shown that a correlation inequality of statistical mechanics can be applied to linear low-density parity-check codes. Thanks to this tool we prove that, under a natural assumption, the exponential growth rate of regular low-density parity-check (LDPC ...
Institute of Electrical and Electronics Engineers2007
The most classic approach to the dynamics of an n-dimensional mechanical system constrained by d independent holonomic constraints is to pick explicitly a new set of (n - d) curvilinear coordinatesparametrizingthe manifold of configurations satisfying the ...
We present a detailed discussion of the evolution of a statistical ensemble of quantum mechanical systems coupled weakly to a bath. The Hilbert space of the full system is given by the tensor product between the Hilbert spaces associated with the bath and ...
We consider communication over binary input memoryless symmetric channels with low density parity check codes. The relationship between maximum a posteriori and belief propagation GEXIT functions is investigated using a set of correlation inequalities of s ...
This thesis is devoted to the study of screening and polarisation effects in a quantum plasma of electrons and protons, when the system is close to a dilute gas of hydrogen atoms. This atomic phase is obtained by considering a coupled low-density and low-t ...
Chemical reactions and chemical equilibria. Thermodynamics of ideal and real solutions. Statistical Mechanics, microcanonical ensemble, canonical ensemble. ...