Let (Zn)n∈N be a d-dimensional random walk in random scenery, i.e., Zn = ∑n−1 k=0 Y (Sk) with (Sk)k∈N0 a random walk in Z d and (Y (z))z∈Zd an i.i.d. scenery, independent of the walk. The walker’s steps have mean zero and some finite exponential moments. We identify the speed and the rate of the logarithmic decay of P( 1 nZn > bn) for various choices of sequences (bn)n in [1,∞). Depending on (b...

Computer technology has the potential to significantly reduce the risks associated with scenery motion in live theatre, as well as enhancing the spectacle of performance. The industry is becoming more concerned about safety standards compliance. IEC 61508 is emerging as the universally favoured standard for functional safety of stage machinery control systems.

We prove an invariance principle for Brownian motion in Gaussian or Poissonian random scenery by the method of characteristic functions. Annealed asymptotic limits are derived in all dimensions, with a focus on the case of dimension d = 2, which is the main new contribution of the paper.

Hazard avoidance is a key technology for landing large payloads safely on the surface of Mars. During hazard avoidance a lander uses onboard sensors to detect hazards in the landing zone, autonomously selects a safe landing site, and then maneuvers to the new site. Design of a system for hazard avoidance is facilitated by simulation where trades involving sensor and mission requirements can be ...

Introduction: The straight skeleton of a polygon in 2D was first defined by Aichholzer et al. [2]. It is the geometric graph whose edges are the traces of vertices of shrinking mitered offset curves of the polygon, see Figure 1, left. Straight skeletons are a versatile tool in computational geometry and have found applications in diverse fields of industry and science. E.g., Tomoeda et al. use ...

Kalikow proved that the [T, T−1] transformation is not isomorphic to a Bernoulli shift [3]. We show that the scenery factor of the [T, T−1] transformation is not isomorphic to a Bernoulli shift. Moreover we show that it is not Kakutani equivalent to a Bernoulli shift.