QSDs for General Birth Death Processes
Conditional Processes Induced by Birth and Death Processes
... conditional processes induced by conditioning on hitting the right boundary point before hitting the left boundary point when the original processes are birth and death ...conditional ...
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Exactly solvable birth and death processes
... the birth and death process with a reflecting wall共s兲 ...solvable birth and death processes to be explored in this paper, some are quite well known having the linear 2 , 3 , 10 , 11 and ...
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Spatial birth-and-death Markov processes
... a general existence result for interacting particle systems on a lattice with local interactions and bounded jump rates (see also [Lig85, Chapter ...spatial birth-and-death processes in ...the ...
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Generating functions in branching processes and birth and death processes
... of birth and death processes was developed in the 20th ...biology. Birth and death processes are Markov chains with the property that only transitions to “neighbouring” states ...
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Multifractal scaling of products of birth–death processes
... a birth–death process with certain given marginal discrete distribution and covariance ...The birth– death process is an important example of a homogeneous Markov chain {X(t), t ≥ 0} on the ...
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Shell polynomials and dual birth-death processes
... are birth-death processes with rates related as in (26) then X and ˜ X are ...the processes are not uniquely defined by their rates (but ...to birth-death ...
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Bounds and asymptotics for the rate of convergence of birth-death processes
... a birth-death process that one of us, inspired by [11], initiated in the early 1990’s (see [29], [30] and [31]), and developed further in cooperation with Granovsky (see [12], [13] and ...specific ...
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Models of production lines as quasi-birth-death processes
... The modelling of this system, requires a large number of states for each intermediate buffer level as illustrated in the Markov transition diagram of the process[r] ...
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On expected durations of birth death processes with applications to branching processes and SIS epidemics
... and birth-death type models, arrivals equating to births and workload equating to lifetime, we seek in this paper to explore insensitivity results for birth-death type processes with ...
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A fluid queue modulated by two independent birth–death processes
... Fluid queues have been widely used in the performance evaluation of high-speed communication networks [ 3 ]. Most of the classical research on stochastic fluid models in the area of telecommunications is based on the ...
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Modeling of birth-death and diffusion processes in biological complex environments
... Contrasted patterns and variation in the amount and diversity of TEs may re- flect some organization due to host specific selection pressure, both at genomic and population level, or be the result of stochastic forces at ...
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Memorandum No Families of birth-death processes with similar time-dependent behaviour
... consider birth-death processes taking values in N ≡ {0, 1, ...the death rate in state 0 to be positive, so that escape from N is ...such processes with transition functions {p ij (t) } ...
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Families of ν similar birth death processes and limiting conditional distributions
... Abstract We study, for a given process X , the conditions under which ν -similarity is provided, relations between similarity and ν -similarity of processes, and we analyze (doubly) limiting conditional ...
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Asymptotics of rare events in birth–death processes bypassing the exact solutions
... Markov processes, namely one-variable birth–death ...of processes that we consider here, exact—albeit complicated—closed-form solutions for the mean first passage time between any two states ...
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New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes
... Jacek Gilewicz, Elie Leopold, Galliano Valent. New Nevanlinna matrices for orthogonal polyno- mials related to cubic birth and death processes. C. Berg, J. S. Christiansen et H. L. Pedersen. 7th ...
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Algorithms for Queueing Systems with Reneging and Priorities Modeled as Quasi-Birth-Death Processes
... Level-independent QBDs are analogous to birth-death processes with a geometric tail, leading to closed-form expressions for various performance measures. These closed-form expressions involve the ...
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Construction of algorithms for discrete time quasi birth and death processes through physical interpretation
... In particular, here we consider the physical interpretation of Algorithm 1 for Ψ ( s ) in [13], and use a similar physical interpretation for G ( z ) partitioned into three sections, eac[r] ...
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Coarsening dynamics in condensing zero range processes and size biased birth death chains
... range processes where the total number of particles is strictly conserved, this is still a fluctuating ...approximated birth rate in this state is hgi m = ...both processes, the chains related to f k ...
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Quasi-Birth-Death Processes, Tree-Like QBDs, Probabilistic 1-Counter Automata, and Pushdown Systems
... Quasi-Birth-Death Processes (QBDs) are equivalent, in a precise sense, to probabilistic 1-Counter Automata (p1CAs), and both Tree-Like QBDs (TL-QBDs) and Tree-Structured QBDs (TS-QBDs) are equivalent ...
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The life of the peroxisome: from birth to death
... Abstract Peroxisomes are dynamic and metabolically plastic organelles. Their multiplicity of functions impacts on many aspects of plant development and survival. New functions for plant peroxisomes such as in the ...
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