Results 1 to 10 of about 1,441 (88)
On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes [PDF]
, 2018 A sufficient condition is obtained for a discrete-time birth-death process to possess the strong ratio limit property, directly in terms of the one-step transition probabilities of the process.
van Doorn, Erik A.
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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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Lower bounds for bootstrap percolation on Galton-Watson trees [PDF]
, 2014 Bootstrap percolation is a cellular automaton modelling the spread of an `infection' on a graph. In this note, we prove a family of lower bounds on the critical probability for $r$-neighbour bootstrap percolation on Galton--Watson trees in terms of ...
Gunderson, Karen, Przykucki, Michał
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Support and density of the limit $m$-ary search trees distribution [PDF]
, 2012 The space requirements of an $m$-ary search tree satisfies a well-known phase transition: when $m\leq 26$, the second order asymptotics is Gaussian. When $m\geq 27$, it is not Gaussian any longer and a limit $W$ of a complex-valued martingale arises.
Chauvin, Brigitte +2 more
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Weak convergence of conditioned birth-death processes in discrete time [PDF]
, 1997 We consider a discrete-time birth-death process on the nonnegative integers with -1 as an absorbing state and study the limiting behaviour as $n \to \infty$ of the process conditioned on nonabsorption until time $n$.
Coolen-Schrijner, Pauline +1 more
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On the large scale behavior of super-Brownian motion in three dimensions with a single point source [PDF]
, 2006 In a recent work, Fleischmann and Mueller (2004) showed the existence of a super-Brownian motion in R^d, d=2,3, with extra birth at the origin. Their construction made use of an analytical approach based on the fundamental solution of the heat equation ...
Fleischmann, Klaus +2 more
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A stochastic multi-host model for West Nile virus transmission
Journal of Biological DynamicsWhen initially introduced into a susceptible population, a disease may die out or result in a major outbreak. We present a Continuous-Time Markov Chain model for enzootic WNV transmission between two avian host species and a single vector, and use ...
Emily B. Horton, Suzanne L. Robertson
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