130,372 research outputs found

    Balls-in-boxes duality for coalescing random walks and coalescing Brownian motions

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    We present a duality relation between two systems of coalescing random walks and an analogous duality relation between two systems of coalescing Brownian motions. Our results extends previous work in the literature and we apply it to the study of a system of coalescing Brownian motions with Poisson immigration.Comment: 13 page

    Bank ownership and efficiency in China: what lies ahead in the world’s largest nation?

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    China is reforming its banking system, partially privatizing and permitting minority foreign ownership of three of the dominant ‘big four’ state-owned banks. This paper seeks to help predict the effects of this change by analysing the efficiency of virtually all Chinese banks in the years 1994–2003. Our findings suggest the big four banks are by far the least efficient and foreign banks the most efficient while minority foreign ownership is associated with significantly improved efficiency. We present corroborating robustness checks and offer several credible mechanisms through which minority foreign owners can increase Chinese bank efficiency. These findings suggest that minority foreign ownership of the big four is likely to significantly improve performance.foreign banks; efficiency; foreign ownership

    Understanding and Improving the Wang-Landau Algorithm

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    We present a mathematical analysis of the Wang-Landau algorithm, prove its convergence, identify sources of errors and strategies for optimization. In particular, we found the histogram increases uniformly with small fluctuation after a stage of initial accumulation, and the statistical error is found to scale as lnf\sqrt{\ln f} with the modification factor ff. This has implications for strategies for obtaining fast convergence.Comment: 4 pages, 2 figures, to appear in Phys. Rev.

    Some Hamiltonian Models of Friction

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    Mathematical results on some models describing the motion of a tracer particle through a Bose-Einstein condensate are described. In the limit of a very dense, very weakly interacting Bose gas and for a very large particle mass, the dynamics of the coupled system is determined by classical non-linear Hamiltonian equations of motion. The particle's motion exhibits deceleration corresponding to friction (with memory) caused by the emission of Cerenkov radiation of gapless modes into the gas. Precise results are stated and outlines of proofs are presented. Some technical details are deferred to forthcoming papers.Comment: 19 Pages, 1 figur

    Creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field

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    With Monte Carlo simulations, we study the creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field. We observe the nonlinear fieldvelocity relation, and determine the creep exponent {\mu}. To further investigate the universality class of the creep motion, we also measure the roughness exponent {\zeta} and energy barrier exponent {\psi} from the zero-field relaxation process. We find that all the exponents depend on the strength of disorder.Comment: 5 pages, 4 figure
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