Measure and probability for concurrency theorists

Fractional Probability Measure and Its Properties

Based on recent studies by Guy Jumarie [1] which defines probability density of fractional order and fractional moments by using fractional calculus (fractional derivatives and fractional integration), this study expands the concept of probability density of fractional order by defining the fractional probability measure, which leads to a fractional probability theory parallel to the classical ...

A Markovian Concurrency Measure

The aim of this work is to define a useful concurrency measure, easy to implement and whose computation complexity allows the study of real examples. We extend the measure introduced in [BT87] to a probabilistic one, by means of a natural translation of the synchronized automata of Arnold-Nivat's model to Markov chains: the computation of the measure uses the concept of average time before abso...

Concurrency and Probability: Removing Confusion, Compositionally

Assigning a satisfactory truly concurrent semantics to Petri nets with confusion and distributed decisions is a long standing problem, especially if one wants to fully replace nondeterminism with probability distributions and no stochastic structure is desired/allowed. Here we propose a general solution based on a recursive, static decomposition of (finite, occurrence) nets in loci of decision,...

Measure theory and probability

1 Construction of measures 3 1.

Measure and Probability