Variant Monte Carlo algorithm for driven elastic strings in random media

We discuss the non-local Variant Monte Carlo algorithm which has been successfully employed in the study of driven elastic strings in disordered media at the depinning threshold. Here we prove two theorems, which establish that the algorithm satisfies the crucial no-passing rule and that, after some initial time, the string exclusively moves forward. The Variant Monte Carlo algorithm overcomes the shortcomings of local methods, as we show by analyzing the depinning threshold of a single-pin problem.Comment: 6 pages, 2 figures, proceedings of Conference on Computational Physics, CCP2004 (Genova, Italy

Parents\u27 beliefs about emotion and children\u27s subsequent coping strategies as influences on children\u27s level of peer victimization

The current study examined the relation between parents\u27 emotion socialization beliefs and the strategies children use to cope with peer victimization. It was hypothesized that parents\u27 beliefs about emotions would predict how their children cope with instances of school bullying. Children\u27s coping strategies, in turn, were expected to predict their actual level of peer victimization. Children\u27s level of peer victimization was measured via reports from children, peers, and teachers

Robinson-Schensted-Knuth correspondence in the geometry of partial flag varieties

In this paper we generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and the irreducible components of the flag variety in which they lie, using the Robinson-Schensted-Knuth correspondence.Comment: 10 pages, replaced to include an extra reference that also proves lemma 2.

Wavelet entropy of stochastic processes

We compare two different definitions for the wavelet entropy associated to stochastic processes. The first one, the Normalized Total Wavelet Entropy (NTWS) family [Phys. Rev. E 57 (1998) 932; J. Neuroscience Method 105 (2001) 65; Physica A (2005) in press] and a second introduced by Tavares and Lucena [Physica A 357 (2005)~71]. In order to understand their advantages and disadvantages, exact results obtained for fractional Gaussian noise (-1<alpha< 1) and the fractional Brownian motion (1 < alpha < 3) are assessed. We find out that NTWS family performs better as a characterization method for these stochastic processes.Comment: 12 pages, 4 figures, submitted to Physica

Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of pp-adic LL-functions

We study the derivative of the standard $p$-adic $L$-function associated with a $P$-ordinary Siegel modular form (for $P$ a parabolic subgroup of $\mathrm{GL}(n)$) when it presents a semi-stable trivial zero. This implies part of Greenberg's conjecture on the order and leading coefficient of $p$-adic $L$-functions at such trivial zero. We use the method of Greenberg--Stevens. For the construction of the improved $p$-adic $L$-function we develop Hida theory for non-cuspidal Siegel modular forms