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作者：Etheridge, AM
作者单位：University of Oxford
摘要：Bolker and Pacala recently introduced a model of an evolving population in which an individual's fecundity is reduced in proportion to the local population density. We consider two versions of this model and prove complementary extinction/persistence results, one for each version. Roughly, if individuals in the population disperse sufficiently quickly relative to the range of the interaction induced by the density dependent regulation, then the population has positive chance of survival, where...
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作者：Barton, NH; Etheridge, AM; Sturm, AK
作者单位：University of Edinburgh; University of Oxford; Technical University of Berlin
摘要：We consider a single genetic locus which carries two alleles, labelled P and Q. This locus experiences selection and mutation. It is linked to a second neutral locus with recombination rate r. If r = 0, this reduces to the study of a single selected locus. Assuming a Moran model for the population dynamics, we pass to a diffusion approximation and, assuming that the allele frequencies at the selected locus have reached stationarity, establish the joint generating function for the genealogy of ...
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作者：Neininger, R; Rüschendorf, L
作者单位：McGill University; University of Freiburg
摘要：Limit laws are proven by the contraction method for random vectors of a recursive nature as they arise as parameters of combinatorial structures such as random trees or recursive algorithms, where we use the Zolotarev metric. In comparison to previous applications of this method, a general transfer theorem is derived which allows us to establish a limit law on the basis of the recursive structure and the asymptotics of the first and second moments of the sequence. In particular, a general asym...
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作者：Chigansky, P; Liptser, R
作者单位：Tel Aviv University
摘要：The nonlinear filtering equation is said to be stable if it forgets the initial condition. It is known that the filter might be unstable even if the signal is an ergodic Markov chain. In general, the filtering stability requires stronger signal ergodicity provided by the, so called, mixing condition. The latter is formulated in terms of the transition probability density of the signal. The most restrictive requirement of the mixing condition is the uniform positiveness of this density. We show...
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作者：Boroczky, K; Reitzner, M
作者单位：HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; University of Freiburg
摘要：Choose n independent random points on the boundary of a convex body K subset of R-d. The intersection of the supporting halfspaces at these random points is a random convex polyhedron. The expectations of its volume, its surface area and its mean width are investigated. In the case that the boundary of K is sufficiently smooth, asymptotic expansions as n --> infinity are derived even in the case when the curvature is allowed to be zero. We compare our results to the analogous results for best ...
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作者：Cohort, P
作者单位：Institut Polytechnique de Paris; Ecole Nationale des Ponts et Chaussees
摘要：We present some convergence results about the distortion D-mu,n,r(v) related to the Voronoi vector quantization of a mu-distributed random variable using n i.i.d. v-distributed codes. A weak law of large numbers for n(r/d)D(mu,n,r)(v) is derived essentially under a mu-integrability condition on a negative power of a delta-lower Radon-Nikodym derivative of v. Assuming in addition that the probability measure mu has a bounded epsilon-potential, we obtain a strong law of large numbers for n(r/d)D...
