We prove the dimensional reduction conjecture of Fey, Levine, and Peres (2010) on hypercube. The proof shows that reduction, symmetry, regularity Abelian sandpile persist during parallel toppling process. This stronger result verifies empirical observations first documented by Liu, Kaplan, Gray (1990).

From Eco-Cities to Sustainable City-Regions: China’s Uncertain Quest for an Ecological Civilization By Ernest J. Yanarella and Richard S. Levine Edward Elgar Publishing, 2020 Dimensions illustrations 288 pages US$142 (hardcover) US$45 (paperback) US$36 (eBook) ISBN: 9781839102783

The affiliations of this manuscript were incorrectly listed. The correct affiliations are: Benedikt Obermayer , Erel Levine 1 Systems Biology of Gene Regulatory Elements, Max-Delbrück Center for Molecular Medicine, Berlin, Germany 2 Department of Physics and Center for Systems Biology, Harvard University, Cambridge, USA The funding statement is incorrect and should read as follows: This work wa...

In most studies of the impact of ethnic diversity on economic growth, diversity is hypothesized to affect growth through its effect on macroeconomic policies. This article shows that most measures of ethnic diversity (including the commonly used ELF measure) are inappropriate for testing this hypothesis. This is because they are constructed from enumerations of ethnic groups that include all of...

This paper offers a critical rejoinder in the discussion concerning the viability of self-construal scales. It is our contention that the existing data reported in our previous article (Levine et al., 2003) and elsewhere are more than sufficient to justify the conclusion that self-report scales purporting to measure interdependent and independent self-construals as 2 orthogonal constructs lack ...

Dr. Herbert Grassmann is one of the co-founders of SKT® Strukturelle Körpertherapie, and TraumaSomatics®. He is an Advanced practitioner from the Guild for Structural Integration, Certified Hakomi Therapist, and later trained with Dr. Peter Levine. He combined principles from these three methods and subsequent experience to create and teach the traumatherapeutic method TraumaSomatics®. His webs...

This paper compares two models of limited intertemporal self-control: the linearcost version of Fudenberg and Levine’s dual-self model (2006) and the quasi-hyperbolic discounting model. The main distinction between the two frameworks can be formulated as whether agents care about future self-control costs: dual selves do, while quasihyperbolic discounters do not. The dual-self model is applied ...

We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.

In 2010, Lionel Levine introduced a cooperative game, and posed the question of finding the optimal strategy. We provide an overview of prior work on this question, and describe several strategies that give the best lower bound on the probability of victory. We further generalize the problem to consider the case of arbitrary color distribution.

The availability of e-textbooks is increasing along with the variety of electronic readers. According to the “2010 Horizon Report,” adoption of this technology will be widespread in academia in two to three years as it will “... reduce costs, save students from carrying pounds of textbooks and contribute to the environmental efforts...” (Johnson, Levine, Smith, & Stone, 2010, p.6). Will etextbo...