Extremely low amphibian roadkill probability on busy bicycle paths

The B-terminal Busy Probability Prediction

Abstract: In the teletraffic engineering of all the telecommunication networks, parameters characterizing the terminal traffic are used. One of the most important of them is the probability of finding the called (B-terminal) busy. This parameter is studied in some of the first and last papers in Teletraffic Theory. We propose a solution in this topic in the case of (virtual) channel systems, su...

Polygonal bicycle paths and the Darboux transformation

Probability-based robot search paths

The aim of this work is to show that robots can be improved using knowledge present or gained in previous executions of the task. Here, this knowledge is used to create search paths tailored to the problem at hand. We describe two approaches to create such paths automatically which enable robots to find an unknown position faster than standard paths. The solution presented here is not limited t...

Minimal entropy probability paths between genome families.

We develop a metric for probability distributions with applications to biological sequence analysis. Our distance metric is obtained by minimizing a functional defined on the class of paths over probability measures on N categories. The underlying mathematical theory is connected to a constrained problem in the calculus of variations. The solution presented is a numerical solution, which approx...

-Limit for Transition Paths of Maximal Probability

Chemical reactions can be modeled via diffusion processes conditioned to make a transition between specified molecular configurations representing the state of the system before and after the chemical reaction. In particular the model of Brownian dynamics— gradient flow subject to additive noise—is frequently used. If the chemical reaction is specified to take place on a given time interval, th...