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作者：Lanchier, N; Neuhauser, C
作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite de Rouen Normandie; University of Minnesota System; University of Minnesota Twin Cities
摘要：Mutualists and pathogens, collectively called symbionts, are ubiquitous in plant communities. While some symbionts are highly host-specific, others associate with Multiple hosts. The outcomes of multispecies host-symbiont interactions with different degrees of specificity are difficult to predict ill this point due to a lack of a general conceptual framework. Complicating our predictive power is the fact that plant populations are spatially explicit, and we know from past research that explici...
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作者：Li, DL; Rosalsky, A
作者单位：Lakehead University; State University System of Florida; University of Florida
摘要：Let (X-k,X-i;i >= 1, k >= 1) be an array of i.i.d. random variables and let {P-n;n >= 1} be a sequence of positive integers such that n/P-n is bounded away from 0 and infinity. For W-n = max1 <= i <= pn vertical bar Sigma(n)(k=1) Xk,iXk,j vertical bar and L-n = max1 <= i,< j <= pn,vertical bar P-i,j((n))vertical bar where p(i,j)((n)) denotes the Pearson correlation coefficient between (XI,i, - - -, Xn,i)' and (Xij, - - -, Xnj)', the limit laws W limn -> oo Wn/n alpha = 0 a.s. (alpha > 1/2), (i...
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作者：Jonasson, J
作者单位：Chalmers University of Technology
摘要：The overhand shuffle is one of the real card shuffling methods in the sense that some people actually use it to mix a deck of cards. A mathematical model was constructed and analyzed by Pemantle [J. Theoret. Probab. 2 (1989) 37-49] who showed that the mixing time with respect to variation distance is at least of order n(2) and at most of order n(2) log n. In this paper we use an extension of a lemma of Wilson [Ann. Appl. Probab. 14 (2004) 274-325] to establish a lower bound of order n(2) log n...
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作者：Khorunzhiy, O; Kirsch, W; Müller, P
作者单位：Universite Paris Saclay; University of Gottingen; Ruhr University Bochum; Ruhr University Bochum
摘要：We consider the discrete Laplace operator Delta((N)) on Erdos-Renyi random graphs with N vertices and edge probability p/N. We are interested in the limiting spectral properties of Delta((N)) as N -> infinity in the subcritical regime 0 < p < 1 where no giant cluster emerges. We prove that in this limit the expectation value of the integrated density of states of A (N) exhibits a Lifshitz-tail behavior at the lower spectral edge E = 0.
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作者：Zhang, LX; Hu, FF; Cheung, SH
作者单位：Zhejiang University; Chinese University of Hong Kong; University of Virginia
摘要：The Generalized Polya Urn (GPU) is I popular urn model which is widely used in many disciplines. In particular. it is extensively used in treatment allocation schemes in clinical trials. Ill this paper, we propose it sequential estimation-adjusted urn model (a nonhomogeneous GPU) which has a wide spectrum of applications. Because the proposed urn model depends oil sequential estimations of unknown parameters, the derivation of asymptotic properties is mathematically intricate and the correspon...
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作者：Goel, S
作者单位：Cornell University
摘要：A deck of n cards is shuffled by repeatedly moving the top card to one of the bottom k(n) positions uniformly at random, We give tipper and lower bounds on the total variation mixing time for this shuffle as k(n) ranges from a constant to n. We also consider a symmetric variant of this shuffle in which at each step either the top card is randomly inserted into the bottom k(n) positions or a random card from the bottom k(n) positions is moved to the top. For this reversible shuffle we derive bo...
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作者：Hansen, NR
作者单位：University of Copenhagen
摘要：We define the reflection of a random walk at a general barrier and derive, in case the increments are light tailed and have negative mean, a necessary and sufficient criterion for the global maximum of the reflected process to be finite a.s. If it is finite a.s., we show that the tail of the distribution of the global maximum decays exponentially fast and derive the precise rate of decay. Finally, we discuss an example from structural biology that motivated the interest in the reflection at a ...
