منابع مشابه
Stochastic Evolutions of Point Processes
The asymptotic behavior of birth and death processes of particles in a compact space is analyzed. Births: Particles are created at rate λ+ and their location is independent of the current configuration. Deaths are due to negative particles arriving at rate λ − . The death of a particle occurs when a negative particle arrives in its neighborhood and kills it. Several killing schemes are consider...
متن کاملNonequilibrium Dynamics of Stochastic Point Processes with Refractoriness Nonequilibrium Dynamics of Stochastic Point Processes with Refractoriness
Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse, and the counting of particles by detector devices. Here we present an extension of renewal theory to describe ensembles of point processes with time varying...
متن کاملNode Deployment by Stochastic Point Processes in Wireless Sensor Networks
Node deployment plays an important role in the design of wireless sensor networks (WSNs). Many important properties such as coverage, connectivity, data fidelity and lifetime are directed influenced by the way nodes are placed in the sensor field. In this work we show that the use of a stochastic point process, namely the C model, is able to increase the network lifetime by addressing the “ener...
متن کاملNonequilibrium dynamics of stochastic point processes with refractoriness.
Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse, and the counting of particles by detector devices. Here we present an extension of renewal theory to describe ensembles of point processes with time varying...
متن کاملAnalysis, Synthesis, and Estimation of Fractal-rate Stochastic Point Processes
Fractal and fractal-rate stochastic point processes (FSPPs and FRSPPs) provide useful models for describing a broad range of diverse phenomena, including electron transport in amorphous semiconductors, computer-network traffic, and sequences of neuronal action potentials. A particularly useful statistic of these processes is the fractal exponent α, which may be estimated for any FSPP or FRSPP b...
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ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 1962
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am-6-2-209-219