Markovian structure in the concave majorant of Brownian motion

The Concave Majorant of Brownian Motion

The distribution of the maximal difference between Brownian bridge and its concave majorant

We provide a representation of the maximal difference between a standard Brownian bridge and its concave majorant on the unit interval, from which we deduce expressions for the distribution and density functions and moments of this difference. This maximal difference has an application in nonparametric statistics where it arises in testing monotonicity of a density or regression curve.

Observation of non-Markovian micromechanical Brownian motion

All physical systems are to some extent open and interacting with their environment. This insight, basic as it may seem, gives rise to the necessity of protecting quantum systems from decoherence in quantum technologies and is at the heart of the emergence of classical properties in quantum physics. The precise decoherence mechanisms, however, are often unknown for a given system. In this work,...

the role of thematic structure in comprehending spoken language

in fact this study is concerned with the relationship between the variation in thematice structure and the comprehension of spoken language. so the study focused on the following questions: 1. is there any relationship between thematic structure and the comprehension of spoken language? 2. which of the themes would have greated thematic force and be easier for the subjects to comprehend? accord...

the effects of changing roughness on the flow structure in the bends

flow in natural river bends is a complex and turbulent phenomenon which affects the scour and sedimentations and causes an irregular bed topography on the bed. for the reason, the flow hydralics and the parameters which affect the flow to be studied and understand. in this study the effect of bed and wall roughness using the software fluent discussed in a sharp 90-degree flume bend with 40.3cm ...