We consider geometrical scenes with obstacles and landmarks that can’t necessarily be distinguished and generalize the notion of panoramas (Sch93; Her94), introduced in the qualitative Spatial Reasoning (QSR) approaches to robot navigation. We study various notions of motion strategies in the accessibility graph associated with the local panoramas under uncertain deviations, a natural model of ...

We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random circuits spatially varying measurement rates. These undergo measurement-induced phase transition (MIPT) in their entanglement structure, but the nature critical point differs drastically from case constant rate. In particular, at rate, we find that subsystem size $\ell$ scales as $S \sim \sq...

In contrast to the neutral population cycles of the deterministic mean-field Lotka–Volterra rate equations, including spatial structure and stochastic noise in models for predator-prey interactions yields complex spatio-temporal structures associated with long-lived erratic population oscillations. Environmental variability in the form of quenched spatial randomness in the predation rates resul...

We show that there are Turing complete computably enumerable sets of arbitrarily low non-trivial initial segment prefix-free complexity. In particular, given any computably enumerable set A with non-trivial prefixfree initial segment complexity, there exists a Turing complete computably enumerable set B with complexity strictly less than the complexity of A. On the other hand it is known that s...

Quantitative studies of biotic homogenization can provide useful insights into conservation problems when used appropriately, but can be dangerously misleading when they are not. By separating the concept of biotic homogenization at the global scale from the study of biotic homogenization at spatiallyand temporally-explicit scales, researchers can avoid many of the subtle pitfalls inherent in h...

The quantification of soil water balance components was conducted in a sugarcane (Saccharum officinarum L.) field differently managed, as well as a qualitative analysis of the methodologies used for their estimation. The study was conducted in randomized block experiment with four replicates and three treatments: bare soil, mulched soil using trash left on the soil surface after harvest, and so...

We report on continued monitoring of the Anomalous X-ray Pulsar 1E 1048.1– 5937 using the Rossi X-ray Timing Explorer. We show that this pulsar has exhibited significant pulsed flux variability. The principal features of this variability are two pulsed X-ray flares. Both flares lasted several months and had well resolved few-week-long rises, a phenomenon not previously reported for this class o...

Ecological networks exhibit non-random structural patterns, such as modularity and nestedness, which determine ecosystem stability with species diversity and connectance. Such structure-stability relationships are well known. However, another important perspective is less well understood: the relationship between the environment and structure. Inspired by theoretical studies that suggest that n...

Recently, it has been found that the cost distributions of randomized backtrack search in combinatorial domains are often heavytailed. Such heavy-tailed distributions explain the high variability observed when using backtrack-style procedures. A good understanding of this phenomenon can lead to better search techniques. For example, restart strategies provide a good mechanism for eliminating th...

Transport systems are inherently uncertain, posing a challenge to network modellers and planners. Newer models (probabilistic user equilibrium, strategic user equilibrium) attempt to capture this uncertainty by explicitly acknowledging day-to-day randomness in the network, and solve for strategic equilibrium conditions based on the concept of travellers optimizing their expected performance. St...