We show that the space of Lagrangian spheres inside the cotangent bundle of the 2-sphere is contractible. We then discuss the phenomenon of Lagrangian unknottedness in other Stein surfaces. There exist homotopic Lagrangian spheres which are not Hamiltonian isotopic, but we show that in a typical case all such spheres are still equivalent under a symplectomorphism.

Abstract: This survey article discusses the main concepts and techniques of Stein’s method for distributional approximation by the normal, Poisson, exponential, and geometric distributions, and also its relation to concentration of measure inequalities. The material is presented at a level accessible to beginning graduate students studying probability with the main emphasis on the themes that a...

Posttraumatic stress disorder is characterized by the failure of the acute fear response to diminish after exposure to a lifethreatening traumatic event. Risk factors for PTSD include sex (female), education (less), and familial and genetic factors, as well as factors pertaining to the type and severity of trauma(s) experienced by the individual over time (including childhood maltreatment). The...

Prologue —R. Martorell, J. R. Behrman, R. Grajeda, and J. Hoddinott ......................................................... S3 Rationale for a follow-up study focusing on economic productivity —R. Martorell, J. R. Behrman, R. Flores, and A. D. Stein ...................................................................................................................................... S5 The Hum...

We prove that Stein surfaces with boundary coincide up to orientation preserving diffeomorphisms with simple branched coverings of B4 whose branch set is a positive braided surface. As a consequence, we have that a smooth oriented 3-manifold is Stein fillable iff it has a positive open-book decomposition.

This paper presents an account of morbidity in a suburban practice in London with special reference to psychiatric disability. Clinical and administrative features of this practice (Chalke and Fisher, 1957) and its social and demographic characteristics (Stein, 1960) have also been described, and an outline of the present investigation has been presented elsewhere (Shepherd, Fisher, Stein, and ...

J. Sánchez-Barriga, A. Varykhalov, J. Braun, S.-Y. Xu, N. Alidoust, O. Kornilov, J. Minár, K. Hummer, G. Springholz, G. Bauer, R. Schumann, L. V. Yashina, H. Ebert, M. Z. Hasan, and O. Rader Helmholtz-Zentrum Berlin, Albert-Einstein-Strasse 15, 12489 Berlin, Germany Department Chemie, Ludwig-Maximilians-Universität München, Butenandtstrasse 5-13, 81377 München, Germany Joseph Henry Laboratory a...

We consider the estimation of mean a multivariate normal distribution with known variance. Most studies risk competing estimators, that is trace squared error matrix. In contrast we whole matrix, in particular its eigenvalues. prove there are only two distinct eigenvalues and apply our findings to James–Stein Thompson class estimators. It turns out famous Stein paradox no longer when matrix rat...

We apply the methods developed in [Br1] to study holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. In particular, we extend and strengthen certain results of Gromov, Henkin and Shubin [GHS] on holomorphic L2 functions on coverings of pseudoconvex manifolds in the case of coverings of Stein manifolds.