GENERIC formalism of a Vlasov–Fokker–Planck equation and connection to large-deviation principles

GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles

In this paper we discuss the connections between a Vlasov-Fokker-Planck equation and an underlying microscopic particle system, and we interpret those connections in the context of the GENERIC framework (Öttinger 2005). This interpretation provides (a) a variational formulation for GENERIC systems, (b) insight into the origin of this variational formulation, and (c) an explanation of the origin...

Thermodynamic Formalism, Large Deviation, and Multifractals

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

On principles of large deviation and selected data compression

The Shannon Noiseless coding theorem (the data-compression principle) asserts that for an information source with an alphabet X = {0, . . . , ` − 1} and an asymptotic equipartition property, one can reduce the number of stored strings (x0, . . . , xn−1) ∈ X n to `nh with an arbitrary small error-probability. Here h is the entropy rate of the source (calculated to the base `). We consider furthe...

Connectivity of Large Wireless Networks under A Generic Connection Model

This paper studies networks where all nodes are distributed on a unit square A , [− 1 2 , 1 2 ] following a Poisson distribution with known density ρ and a pair of nodes separated by an Euclidean distance x are directly connected with probability grρ(x) , g(x/rρ), independent of the event that any other pair of nodes are directly connected. Here g : [0,∞) → [0, 1] satisfies the conditions of ro...