Results 1 to 10 of about 146 (118)
Continuous flows driving branching processes and their nonlinear evolution equations
Advances in Nonlinear Analysis, 2022 We consider on M(ℝd) (the set of all finite measures on ℝd) the evolution equation associated with the nonlinear operator F↦ΔF′+∑k⩾1bkFkF \mapsto \Delta F' + \sum\nolimits_{k \geqslant 1} b_k F^k , where F′ is the variational derivative of F and we show
Beznea Lucian, Vrabie Cătălin Ioan
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Asymptotics of the occupancy scheme in a random environment and its applications to tries [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Consider $ m $ copies of an irreducible, aperiodic Markov chain $ Y $ taking values in a finite state space. The asymptotics as $ m $ tends to infinity, of the first time from which on the trajectories of the $ m $ copies differ, have been studied by ...
Silvia Businger
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An asymptotic property of branching-type overloaded polling networks
Open Mathematics, 2019 Remerova et al. [Random fluid limit of an overloaded polling model, Adv. Appl. Probab., 2014, 46, 76–101] studied the fluid asymptotics of the joint queue length process for an overloaded cyclic polling system with multigated service discipline by ...
Wang Yuejiao +3 more
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COVER TIME FOR THE FROG MODEL ON TREES
Forum of Mathematics, Sigma, 2019 The frog model is a branching random walk on a graph in which particles branch only at unvisited sites. Consider an initial particle density of $\unicode[STIX]{x1D707}$ on the full $d$-ary tree of height $n$.
CHRISTOPHER HOFFMAN +2 more
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Fluid queues driven by a birth and death process with alternating flow rates
Mathematical Problems in Engineering, Volume 2004, Issue 5, Page 469-489, 2004., 2004 Fluid queue driven by a birth and death process (BDP) with only one negative effective input rate has been considered in the literature. As an alternative, here we consider a fluid queue in which the input is characterized by a BDP with alternating positive and negative flow rates on a finite state space. Also, the BDP has two alternating arrival rates
P. R. Parthasarathy +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 10, Page 689-692, 2001., 2001 The transient probabilities for a simple birth‐death‐immigration process are considered. Catastrophes occur at a constant rate, and when they occur, reduce the population to size zero.
Randall J. Swift
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Boundedness of one‐dimensional branching Markov processes
International Journal of Stochastic Analysis, Volume 10, Issue 4, Page 307-332, 1997., 1997 A general model of a branching Markov process on ℝ is considered. Sufficient and necessary conditions are given for the random variable to be finite. Here Ξk(t) is the position of the kth particle, and N(t) is the size of the population at time t. For some classes of processes (smooth branching diffusions with Feller‐type boundary points), this results
F. I. Karpelevich, Yu. M. Suhov
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Population‐size‐dependent branching processes
International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 449-457, 1996., 1996 In a recent paper [7] a coupling method was used to show that if population size, or more generally population history, influence upon individual reproduction in growing, branching‐style populations disappears after some random time, then the classical Malthusian properties of exponential growth and stabilization of composition persist.
Peter Jagers
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Balls left empty by a critical branching Wiener process
International Journal of Stochastic Analysis, Volume 9, Issue 4, Page 531-549, 1996., 1996 At time t = 0 we have a Poisson random field on ℝd. Each particle executes a critical branching Wiener process starting from its position at time t = 0. Let RT be the radius of the largest ball around the origin of ℝd which does not contain any particle at time T. Our goal is to characterize the properties of the stochastic process {RT, T ≥ 0}.
Pál Révész
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On the distribution of the number of vertices in layers of random trees
International Journal of Stochastic Analysis, Volume 4, Issue 3, Page 175-186, 1991., 1991 Denote by Sn the set of all distinct rooted trees with n labeled vertices. A tree is chosen at random in the set Sn, assuming that all the possible nn−1 choices are equally probable. Define τn(m) as the number of vertices in layer m, that is, the number of vertices at a distance m from the root of the tree. The distance of a vertex from the root is the
Lajos Takács
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