Optimal Hoeffding bounds for discrete reversible Markov chains

We build optimal exponential bounds for the probabilities of large deviations of sums \sum_{k=1}^nf(X_k) where (X_k) is a finite reversible Markov chain and f is an arbitrary bounded function. These bounds depend only on the stationary mean E_{\pi}f, the end-points of the support of f, the sample size n and the second largest eigenvalue \lambda of the transition matrix

Alien Registration- Perron, Joseph A. (Sanford, York County)

https://digitalmaine.com/alien_docs/3619/thumbnail.jp

Alien Registration- Perron, Marie A. (Auburn, Androscoggin County)

https://digitalmaine.com/alien_docs/31014/thumbnail.jp

Paternal Psychosocial Characteristics and Corporal Punishment of their 3-Year Old Children

This study uses data from 2,309 biological fathers who participated in the Fragile Families and Child Wellbeing Study (FFCWS) to examine associations between psychosocial characteristics and levels of corporal punishment (CP) toward their 3-year old children over the past month. Results indicate that 61% of the fathers reported no CP over the past month, 23% reported using CP once or twice, and 16% reported using CP a few times in the past month or more. In multivariate models controlling for important socio-demographic factors as well as characteristics of the child, fathers’ parenting stress, major depression, alcohol use, and drug use were significantly associated with greater use of CP, whereas involvement with the child and generalized anxiety order were not. Girls were less likely to be the recipient of CP than boys, and child externalizing behavior problems but not internalizing behavior problems were associated with more CP.Fragile families, childbearing, nonmarital childbearing, fartherhood, fathers, corporal punishment, behavior problems, stress, depression

Financing sustainable agriculture and mitigation

Key messages: - Smallholder farmers and forestry producers have a crucial role to play in food security, sustainable land use and emissions reductions initiatives. - Producers and investors alike require appropriate incentive structures to facilitate participation in sustainable land use initiatives. - A networked financing approach—Inari—may provide an innovative response to financing sustainable land use via intelligent diversification and addressing the finance needs of smallholders. - Diversification requires the development of a more holistic risk model for investment in smallholder agriculture and forestry, which will be tested in a number of developing countries in 2013 and 2014

Heun Functions and the energy spectrum of a charged particle on a sphere under magnetic field and Coulomb force

We study the competitive action of magnetic field, Coulomb repulsion and space curvature on the motion of a charged particle. The three types of interaction are characterized by three basic lengths: l_{B} the magnetic length, l_{0} the Bohr radius and R the radius of the sphere. The energy spectrum of the particle is found by solving a Schr\"odinger equation of the Heun type, using the technique of continued fractions. It displays a rich set of functioning regimes where ratios \frac{R}{l_{B}} and \frac{R}{l_{0}} take definite values.Comment: 12 pages, 5 figures, accepted to JOPA, november 200