43 research outputs found
Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation
Stochastic processes associated with traveling wave solutions of the
sine-Gordon equation are presented. The structure of the forward Kolmogorov
equation as a conservation law is essential in the construction and so is the
traveling wave structure. The derived stochastic processes are analyzed
numerically. An interpretation of the behaviors of the stochastic processes is
given in terms of the equation of motion.Comment: 12 pages, 9 figures; corrected typo
Proposal for a new LoD and multi-representation concept for CityGML
The Open Geospatial Consortium (OGC) CityGML standard offers a Level of Detail (LoD) concept that enables the representation of CityGML features from a very detailed to a less detailed description. Due to a rising application variety, the current LoD concept seems to be too inflexible. Here, we present a multi representation concept (MRC) that enables a user-defined definition of LoDs. Because CityGML is an international standard, official profiles of the MRC are proposed. However, encoding of the defined profiles reveals many problems including mapping the conceptual model to the normative encoding, missing technologies and so on. Therefore, we propose to use the MRC as a meta model for the further definition of an LoD concept for CityGML 3.0
Loewner evolution driven by a stochastic boundary point
We consider evolution in the unit disk in which the sample paths are
represented by the trajectories of points evolving randomly under the
generalized Loewner equation. The driving mechanism differs from the SLE
evolution, but nevertheless solutions possess similar invariance properties.Comment: 23 pages, 6 figure
Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means
Integrable (2+1)-dimensional systems of hydrodynamic type
We describe the results that have so far been obtained in the classification
problem for integrable (2+1)-dimensional systems of hydrodynamic type. The
systems of Gibbons--Tsarev type are the most fundamental here. A whole class of
integrable (2+1)-dimensional models is related to each such system. We present
the known GT systems related to algebraic curves of genus g=0 and g=1 and also
a new GT system corresponding to algebraic curves of genus g=2. We construct a
wide class of integrable models generated by the simplest GT system, which was
not considered previously because it is in a sense trivial.Comment: 47 pages, no figure
PROPOSAL for A NEW LOD and MULTI-REPRESENTATION CONCEPT for CITYGML
10.5194/isprs-annals-IV-2-W1-3-2016ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences42W13-1