A new renormalization group treatment is proposed for the critical exponents of an m-fold Lifshitz point. The anisotropic cases (m 6= 8) are described by two independent fixed points associated to two independent momentum flow along the quadratic and quartic directions, respectively. The isotropic case is described separately. In that case, the fixed point is due to renormalization group transf...

We define directional recurrence for infinite measure preserving Z actions both intrinsically and via the unit suspension flow and prove that the two definitions are equivalent. We study the structure of the set of recurrent directions and show it is always a Gδ set. We construct an example of a recurrent action with no recurrent directions, answering a question posed in a 2007 paper of Daniel ...

Lagrangian coordinates describe a local frame moving and deforming with a flow, where by flow we mean either a physical flow or the solution of a smooth dynamical system. The rôle of chaos in these coordinates is reflected by a mean exponential stretching of fluid elements along characteristic directions. Many partial differential equations, such as the kinematic advection–diffusion equation, a...

Received ; accepted – 2 – ABSTRACT In order to investigate the reality of large-scale streaming motion on scales of up to 150 Mpc, we have studied the peculiar motions of ∼ 200 early-type galaxies in three directions of the South Equatorial Strip, at distances out to ∼ 20 000 km s −1. The new APM South Equatorial Strip Catalog (−17 • .5 < δ < +2 • .5) was used to select the sample of field gala...

INTERIOR METHODS FOR NONLINEAR MINIMUM COST NETWORK FLOW PROBLEMS Ryuji Katsura Japan Medical Supply Co., Ltd. Masao Fukushima Kyoto University Toshihide lbaraki Kyoto University (Received March 24,1988; Revised August 5, 1988) In this paper we propose practical algorithms for solving the nonlinear minimum cost network flow problem which has many fields of application such as production-distrib...

The goal of this study is to determine whether shear wave splitting observed in subduction zone back arc regions, the Tonga subduction zone in particular, can be quantitatively modeled with flow in the back arc mantle driven by the motions of the subducting slab and the upper back arc plate. We calculated two-dimensional mantle flow models using known Tonga plate motions as boundary conditions ...

The response of an elastically mounted circular cylinder vibrating in oscillatory flow oblique to the direction is investigated. Simulations are conducted for vibration angles ranging from 0° 90°, with and 90° corresponding cases where inline perpendicular direction, respectively. One mass ratio 2, one Reynolds number 150, two Keulegan–Carpenter (KC) numbers 5 10 a wide range frequency ratios t...

an extended octagonal ring (eor) transducer was designed and developed to measure forces inside the compression chamber of a large square baler in different directions. the transducer was calibrated by applying forces in three directions simultaneously and independently. the sensor revealed excellent linearity along with small cross sensitivities. horizontal and vertical primary sensitivities o...