4,464 research outputs found
Tagged particle process in continuum with singular interactions
By using Dirichlet form techniques we construct the dynamics of a tagged
particle in an infinite particle environment of interacting particles for a
large class of interaction potentials. In particular, we can treat interaction
potentials having a singularity at the origin, non-trivial negative part and
infinite range, as e.g., the Lennard-Jones potential.Comment: 27 pages, proof for conservativity added, tightened presentatio
The Euler scheme for Feller processes
We consider the Euler scheme for stochastic differential equations with
jumps, whose intensity might be infinite and the jump structure may depend on
the position. This general type of SDE is explicitly given for Feller processes
and a general convergence condition is presented.
In particular the characteristic functions of the increments of the Euler
scheme are calculated in terms of the symbol of the Feller process in a closed
form. These increments are increments of L\'evy processes and thus the Euler
scheme can be used for simulation by applying standard techniques from L\'evy
processes
A Labelling Framework for Probabilistic Argumentation
The combination of argumentation and probability paves the way to new
accounts of qualitative and quantitative uncertainty, thereby offering new
theoretical and applicative opportunities. Due to a variety of interests,
probabilistic argumentation is approached in the literature with different
frameworks, pertaining to structured and abstract argumentation, and with
respect to diverse types of uncertainty, in particular the uncertainty on the
credibility of the premises, the uncertainty about which arguments to consider,
and the uncertainty on the acceptance status of arguments or statements.
Towards a general framework for probabilistic argumentation, we investigate a
labelling-oriented framework encompassing a basic setting for rule-based
argumentation and its (semi-) abstract account, along with diverse types of
uncertainty. Our framework provides a systematic treatment of various kinds of
uncertainty and of their relationships and allows us to back or question
assertions from the literature
Tanaka formula and local time for a class of interacting branching measure-valued diffusions
We construct superprocesses with dependent spatial motion (SDSMs) in
Euclidean spaces and show that, even when they start at some unbounded initial
positive Radon measure such as Lebesgue measure on , their local times
exist when . A Tanaka formula is also derived
- …