We consider networks of processes which interact with beeps. In the basic model defined by Cornejo and Kuhn (2010), processes can choose in each round either to beep or to listen. Those who beep are unable to detect simultaneous beeps. Those who listen can only distinguish between silence and the presence of at least one beep. We refer to this model as BL (beep or listen). Stronger models exist...

Automated emergency maneuvering systems can avoid or reduce the severity of collisions by taking control of a vehicle away from the driver during high-risk situations. The choice of when to switch to emergency control is challenging in the presence of uncertain information (imperfect sensors, road conditions, uncertain object behavior, etc.) and many dynamic obstacles. This paper considers long...

Ne~ experimental results on muon-catalyzed d-t fusion are reported. Unexpected target-density effects have been discovered both in dt p, molecular formation in t p, + 02 collisions and in the effective sticking probability. The dt p. formation rate is significantly enhanced at high density, presumably because of a strong three-body contribution. The origin of the observed reduction of the stick...

The standard description of Fermi acceleration, developing in a class of time-dependent billiards, is given in terms of a diffusion process taking place in momentum space. Within this framework, the evolution of the probability density function (PDF) of the magnitude of particle velocities as a function of the number of collisions n is determined by the Fokker-Planck equation (FPE). In the lite...

The mathematical problem of establishing a collision probability distribution is often not trivial. The shape and motion of the animal as well as of the the device must be evaluated in a four-dimensional space (3D motion over time). Earlier work on wind and tidal turbines was limited to a simplified two-dimensional representation, which cannot be applied to many new structures. We present a num...

To analyze the detection probability of shipborne AIS (automatic identification system) signal from space, a mathematical model dependent upon three factors of message collision avoidance, power of signal received by satellite and interference ratio of signal received is presented in the paper. The altitude and footprint area of the AIS satellite are discussed to overcome the collision of messa...

The tracking of space objects requires frequent and accurate monitoring for collision avoidance. As even collision events with very low probability are important, accurate prediction of collisions require the representation of the full probability density function (PDF) of the random orbit state. Through representing the full PDF of the orbit state for orbit maintenance and collision avoidance,...

A large disruption in the main asteroid belt can cause a large flux, an “asteroid shower”, on the terrestrial planets. We quantitatively examine the hypothesis that such an event was the cause of the lunar late heavy bombardment (LHB). We performed numerical integrations of about 20000 test particles starting in the vicinity of the ν6 secular resonance in the main asteroid belt. The purpose of ...

A large disruption in the main asteroid belt can cause a large flux, an “asteroid shower”, on the terrestrial planets. We quantitatively examine the hypothesis that such an event was the cause of the lunar late heavy bombardment (LHB). We performed numerical integrations of about 20000 test particles starting in the vicinity of the ν6 secular resonance in the main asteroid belt. The purpose of ...