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Concentration of measure for systems of Brownian particles interacting through their ranks
Concentration of measure Brownian particles
2010/11/17
We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation ...
Field theory of massive and massless vector particles in the Duffin-Kemmer-Petiau formalism
Field theory of massive massless vector particles Duffin-Kemmer-Petiau formalism
2010/12/16
Field theory of massive and massless vector particles is consid-ered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of non-dynamical components.
Ergodic properties of a model for turbulent dispersion of inertial particles
Ergodic properties model for turbulent dispersion of inertial particles
2010/11/30
We study a simple stochastic differential equation that models the dispersion of close heavy
particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the onedi...