Statistical theory of turbulenc

The Quantum Statistical Mechanical Theory of Transport Processes

A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.

Statistical Theory of Quantization

1 Statistical Theory of Quantization Bernard Widrow, Life Fellow, IEEE , Istv an Koll ar, Senoir Member, IEEE , and Ming-Chang Liu Abstract |The e ect of uniform quantization can often be modeled by an additive noise that is uniformly distributed, uncorrelated with the input signal, and has a white spectrum. This paper surveys the theory behind this model, and discusses the conditions of its va...

Fundamental Theory of Statistical Inference

Statistical physics of balance theory

Triadic relationships are accepted to play a key role in the dynamics of social and political networks. Building on insights gleaned from balance theory in social network studies and from Boltzmann-Gibbs statistical physics, we propose a model to quantitatively capture the dynamics of the four types of triadic relationships in a network. Central to our model are the triads' incidence rates and ...

A Statistical Theory of Shape

In this paper, the statistical theory of shape for ordered nite point conngurations is studied. A general, invariant based, approach for deening shape and nding its density is developed. Some examples, that have been possible to compute analytically, are given, including both aane and positive similarity shape. Projective shape and the related projective invariants are important topics in compu...