Point Process Theory and Applications: Marked Point and Piecewise Deterministic Processes

By Martin Schlather. 2007

175 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/440d9586515e5c0e0169e2a8644aedf6e2b48137

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In Applied Mathematics

Citations in the corpus

On the stability of planar randomly switched systems (2012, methodology): “The process ((Xt , It ))t≥0 is what is called a piecewise deterministic Markov process on R2 × {0,1} (see [4, 6] for details) where the continuous part is driven by two vectors fields that admit a unique stable point and are exponentially stable.”
Nonparametric Functional Data Analysis: Theory and Practice (2007, background): “Ramsay and Silverman (2005) claimed responsibility for the term “FDA,” and their books and software have spurred the use and development of many basic FDA ideas. Nonparametric Functional Data Analysis explores nonparametric methods as they can be applied to functional data, developing new methods an”
Mapping local density of young Eucalyptus plantations by individual tree detection in high spatial resolution satellite images (2013, background): “As the reader can find abundant literature on the subject from the mathematical point of view (e.g. Stoyan et al., 1995; van Lieshout, 2000; Jacobsen, 2006), or from an image processing point of view (Descombes, 2012), we present here only the basics of marked point process modeling along with…”
Stability analysis for stochastic hybrid systems: A survey (2014, background): “& Yin, 2007; Mao, 1999; Mao, Yin, & Yuan, 2007; Mao & Yuan, 2006; Pang, Deng, & Mao, 2008; Yin & Zhu, 2010; Yuan & Lygeros, 2005a,b; Yuan & Mao, 2003), impulsive switching diffusions (Yang, Li, & Chen, 2009), stochastic impulsive systems driven by renewal processes (Antunes, Hespanha, & Silvestre, 2”
Asymptotic approximations for stationary distributions of many-server queues with abandonment (2010, background): “} (see [12] for a precise definition of piecewise deterministic Markov processes), where each jump time is either the arrival time of a new customer, the time of a service completion or the end of a patience time.”