that run on one leg. The generalization uf these one-leg algorithms for control of machines with several legs is explored. The generalization is quite simple when multilegged systems run with gaits that use the support legs one at a time. For these gaits the ~ n e-l e g algorithms can be used b o control multilegged running. The cortcept of a virtual leg is introduced to further extend the appr...

Diffusion-limited reaction A+A→inert with anisotropic hopping on the d = 1 lattice, is solved exactly for a simultaneous updating, discrete time-step dynamics. Diffusion-dominated processes slow down as the anisotropy increases. For large times or large anisotropy, one can invoke the appropriate continuum limits. In these limits the effects of the anisotropy on variation of particle density can...

We report magnetoresistivity measurements on a La1:2Sr1:8Mn2O7 single crystal. The charge transport in the ferromagnetic phase is dominated by two-magnon scattering in the high T range and by weak localization effects at lower T ; in the non-metallic regime. In the paramagnetic phase, rabðTÞ obeys the adiabatic small polaron hopping mechanism, while rcðTÞ follows an Arrhenius behavior with the ...

A b s t r a c t m As many biomechanists indicate~ tendon plays important role for running or jumping motion. It stores the kinetic energy as a potential energy during stance and also absorbs the impulse at touch down. Inspired by such biomechanical studies~ we propose a new simple mechanical model for hindlimb of a dog to realize a robot that imitates dog running~ and the hardware design of one...

In the past few years, the use of spread-spectrum coded signals ceased to be the job of a limited group of specialists. Substantially more workers will be interested in applications of this part of the information theory and practice in the near future [29]. There is no need to present here the motives for the practical use of spread-spectrum coded signals. They are elucidated with details e.g....

The nite temperature transition or crossover in QCD with two degenerate Wilson quarks is investigated using a renormalization group improved action. At = 2:0 and 2.1 where a 1 1:0 1:2 GeV, the expectation value of the Polyakov loop and the pion screening mass on an 8 4 lattice vary smoothly with the hopping parameter through the transition/crossover. The quark screening mass in the high tempera...

An ASEP with two species of particles and different hopping rates is considered on a ring. Its integrability is proved and the Nested Algebraic Bethe Ansatz is used to derive the Bethe Equations for states with arbitrary numbers of particles of each type, generalizing the results of Derrida and Evans [10]. We present also formulas for the total velocity of particles of a given type and their li...

We give a proof of exponential localization in the Anderson model with long range hopping based on a multiscale analysis.

We present the new and unexpected results concerning the Bose–Einstein Condensation for the Pure Hopping Model, describing the thermodynamic behaviour of Bardeen–Cooper pairs in arrays of Josephson junctions located on non homogeneous amenable networks. For this particular situation arising from physics, the results are obtained by a detailed analysis concerning harmonic analysis of the adjacen...

We propose a concrete model which exhibits ferromagnetism and electron-pair condensation simultaneously. The model is defined on two chains and consists of the electron hopping term, the on-site Coulomb repulsion, and a ferromagnetic interaction which describes ferromagnetic coupling between two electrons, one on a bond in a chain and the other on a site in the other chain. It is rigorously sho...