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Evolution Equations in Functional Derivatives of Many-Particle Systems
BBGKY hierarchy Liouville hierarchy generating functional functional derivative marginal observable
2011/8/25
Abstract: The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal dist...
Max-plus analysis on some binary particle systems
Max-plus analysis binary particle systems
2010/12/28
We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors.
Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems
Bethe Ansatz Solvable Particle Systems
2010/11/18
This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche...
Stability on {0,1,2,...}^S: birth-death chains and particle systems
Stable polynomials birth-death chain negative association
2010/12/13
A strong negative dependence property for measures on {0, 1}n –stability – was recently developed in [5], by considering the zero set of the probability generating function. We extend this property to...