We prove an analogue of a classical asymptotic stability result of standing waves of the Schrödinger equation originating in work by Soffer and Weinstein. Specifically, our result is a transposition on the lattice Z of a result by Mizumachi [M1] and it involves a discrete Schrödinger operator H = −∆+q. The decay rates on the potential are less stringent than in [M1], since we require q ∈ l1,1. ...

We prove an analogue of a classical asymptotic stability result of standing waves of the Schrödinger equation originating in work by Soffer and Weinstein. Specifically, our result is a transposition on the lattice Z of a result by Mizumachi [M1] and it involves a discrete Schrödinger operator H = −∆+q. The decay rates on the potential are less stringent than in [M1], since we require q ∈ l1,1. ...

KE VI N V AN A EL ST R OBERT GOLDBERG SAGS INTO HIS DESK CHAIR AND GESTURES AT THE AIR. “FRANKENSTEIN monsters, things crawling out of the lab,” he says. “This the most depressing thing I’ve ever dealt with.” Goldberg, a plant molecular biologist at the University of California, Los Angeles, is not battling psychosis. He is expressing despair at the relentless need to confront what he sees as b...

Previous research on psychosocial functioning in bipolar disorder (BD) has uncovered various factors that exacerbate disability over the course of illness, including illness severity (Burdick, Goldberg and Harrow, 2010; Haro et al., 2011; Mur, Portella, Martinez-Aran, Pifarre, & Vieta, 2009), anxiety (Boylan et al., 2004), substance use (Jaworski, Dubertret, Adès, & Gorwood, 2011), and cognitiv...

Character displacement is typically identified by comparing phenotypic differences in sympatry and allopatry. Recently, however, Goldberg and Lande (2006) pointed out that when phenotypic characters vary along an environmental gradient, the standard approach may fail to identify sympatric character divergence. Here we present a general analytical procedure for identifying sympatric character di...

Shprintzen-Goldberg syndrome (S-G) is a rare connective tissue disorder characterised by craniosynostosis, craniofacial dysmorphism, skeletal, cardiovascular, neurological, and other abnormalities. We herein present a case of a five-year-old Indian child who presented to our clinic with reducible umbilical hernia since birth, mental retardation, and delayed developmental milestones. After metic...

Based on the results of a sorting task involving verbs and grammatical patterns, Bencini & Goldberg (2000) argue that “argument structure constructions are directly associated with sentence meaning.” We explore this hypothesis by attempting to replicate their results using a nonhuman categorizer: a cognitive model based on ACT-R (Anderson & Lebiere 1998). The model replicated the sentence-sorti...

Usage-based approaches to language acquisition argue that children acquire the grammar of their target language using general-cognitive learning principles. The current paper reports on an experiment that tested a central assumption of the usage-based approach: argument structure patterns are connected to high frequency verbs that facilitate acquisition. Sixty children (N = 60) aged 4and 6-year...

Hirschsprung disease, mental retardation, microcephaly, and specific craniofacial dysmorphism were observed in three children from a large, consanguineous, Moroccan family. A fourth child showed similar clinical features, with the exception of Hirschsprung disease. The association of these abnormalities in these children represents the Goldberg-Shprintzen syndrome (OMIM 235730). Mutation scanni...

An approach to the problem of developing provably correct programs has been to enrich a theorem prover for Hoare logic with decision procedures for a number of decidable sublanguages of set theory (EMLS, MLS, and extensions) and arithmetic (FPILP) Sch77]. Citing results of Goldberg Gol79] on average case behavior of algorithms for SAT, it was hoped that these decision procedures would perform w...