We study which quadratic forms are representable as the local degree of a map $f \colon \mathbb{A}^n \to \mathbb{A}^n$ with an isolated zero at $0$, following work Kass and Wickelgren who established connection to form Eisenbud, Khimshiashvili, Levine. Our main observation is that over some base fields $k$, not all degree. Empirically has many hyperbolic summands, we prove in fact this case for...

We study the rotor router model and two deterministic sandpile models. For the rotor router model in Z, Levine and Peres proved that the limiting shape of the growth cluster is a sphere. For the other two models, only bounds in dimension 2 are known. A unified approach for these models with a new parameter h (the initial number of particles at each site), allows to prove a number of new limitin...

Hybrid type-logical grammars (Kubota & Levine 2012, Kubota & Levine 2013c, Kubota & Levine 2013a) are a relatively new framework in computational linguistics, which combines insights from the Lambek calculus (Lambek 1958) and lambda grammars (Oehrle 1994, Muskens 2001, Muskens 2003)— lambda grammars are also called, depending on the authors, abstract categorial grammars (de Groote 2001) and lin...

Introduction The provisioning of mobile ICT services often requires firms with different resources (e.g. financial support and consumer base) and capabilities (e.g. telecommunication, payment, and security) that co-operate to create value for end users. Given the low success rate of inter-firm co operations (see e.g. Levine & Byrne, 1986; Harrigan, 1988; and Bleeke & Ernst, 1993) and the risks ...

We study numerically the behavior of the Biham-Middleton-Levine traffic model in three dimensions. Our extensive numerical simulations show that the phase diagram for this model in three dimensions is markedly different from that in one and two dimensions. In addition to the full speed moving as well as the completely jamming phases, whose respective average asymptotic car speeds (v) equal one ...

THE Rh FACTOR AND ITS CLINICAL APPLICATIONS PHILIP LEVINE ALEXANDER S. WIENER Recent Developments in Iso-Immunization by the Rh Factor. Philip Levine.’ Am. J. Obst. & Gynec.

The commonly used 1-step and 2-step System GMM estimators for the panel AR(1) model are inconsistent under mean stationarity when ratio of variance individual effects to idiosyncratic errors is unbounded N→∞. reason their inconsistency that weight matrices select moment conditions do not identify autoregressive parameter. This paper proposes a new estimator still consistent in this case provide...