A Markovian model of the backoff algorithm used in the slotted 1-persistent carrier sense multiple access/collision detection (CSMA/CD) access protocol is developed in order to analyze the performance of such a network. Due to its complexity, the existing models of the CSMA/ CD protocol do not incorporate the effects of the backoff algorithm. In this work, we developed an approximate Markovian ...

In this paper, we study monotone variational inequalities and generalized equilibrium problems. Weak convergence theorems are established based on a fixed point method in the framework of Hilbert spaces.

Despite all the dynamics methods effectively used in robotics control, few tackle the intricacies of the human musculoskeletal system itself. During movements, a huge amount of energy can be stored passively in the biomechanics of the muscle system. Controlling such a system in a way that takes advantage of the stored energy has lead to the Equilibrium-point hypothesis (EPH). In this paper, we ...

Focusing mainly on equilibrium existence results, this paper emphasizes the role of fixed point theorems in the development of general equilibrium theory, as well for its standard definition as for some of its extensions. Mathematics Subject Classification: Primary 47H10, 47H11, 47N10, 49J53, 54H25, 58C30

As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics. We outline the predictions from the theory aimed at the comparison with molecular dynamics. We report on numerical simulations of a fluid with a hard-shoulder potential and of a hard-point gas with a...

Convexity spaces defined in the paper are generated by families of continuous functions. Without imposing any explicitly stated linear structure on the spaces, Browder’s, Brouwer’s and Kakutani’s fixed point theorems are proved and used for deriving generalized Fan inequalities and two-function minimax theorems. The existence of Nash equilibria in noncooperative games is also established under ...

Point vortex ows of a steady, two dimensional, inviscid, and incompressible uid are studied for doubly connected geometries. The Routh function is explicitly constructed, and equilibrium conngurations of vortices are found by determining critical points numerically. The numerical computations make use of an analogue of the Schwarz-Christooel transformation for doubly connected regions.

The conventional Josephson effect may be modified by introducing spin-active scattering in the interfacelayer of the junction. Here, we discuss a Josephson junction consisting of two s-wave superconducting leads coupled over a classical spin that precesses with the Larmor frequency due to an external magnetic field. This magnetically active interface results in a time-dependent boundary conditi...

The theory of quantum games permits players to choose strategies that prepare and measure quantum states. Whereas conventional game theory provides guarantees for fixed-point stability in non-cooperative games, so-called Nash equilibria, we find this guarantee is not provided for quantum games. In particular, we show the conditions for Glickberg’s fixed-point theorem do not apply to pure quantu...

We> have> investigated the> relation between static stability of a limb, equilibrium-point control, and the ill-posed problem of coordinating a redundant ensemble of muscles. Geometrically, equilibrium-point control is equivalent to establishing a mapping between the command signals delivered to the muscles and the equilibrium corfiguraiions ofa limb. A necessary condition for the existence ofs...