Results 21 to 30 of about 820 (100)
Systems of branching, annihilating, and coalescing particles [PDF]
This paper studies systems of particles following independent random walks and subject to annihilation, binary branching, coalescence, and deaths. In the case without annihilation, such systems have been studied in our 2005 paper "Branching-coalescing ...
Athreya, Siva, Swart, Jan
core +3 more sources
The Total Acquisition Number Of The Randomly Weighted Path
There exists a significant body of work on determining the acquisition number at(G) of various graphs when the vertices of those graphs are each initially assigned a unit weight.
Godbole Anant +4 more
doaj +1 more source
Estimating the Structural Distribution Function of Cell Probabilities
We consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large.
Bert van Es +2 more
doaj +1 more source
The Eschenauer‐Gligor (EG) key predistribution is regarded as a typical approach to secure communication in wireless sensor networks (WSNs). In this paper, we establish asymptotic results about the distribution of isolated nodes and the vanishing small impact of the boundary effect on the number of isolated nodes in WSNs with the EG scheme under ...
Y. Tang, Q. L. Li, Gabriella Bretti
wiley +1 more source
Zero‐One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
We study connectivity property in the superposition of random key graph on random geometric graph. For this class of random graphs, we establish a new version of a conjectured zero‐one law for graph connectivity as the number of nodes becomes unboundedly large. The results reported here strengthen recent work by the Krishnan et al.
Y. Tang, Q. L. Li, Filippo Cacace
wiley +1 more source
Testing Properties of Multiple Distributions with Few Samples [PDF]
We propose a new setting for testing properties of distributions while receiving samples from several distributions, but few samples per distribution.
Aliakbarpour, Maryam, Silwal, Sandeep
core +2 more sources
Moment inequalities connected with accompanying Poisson laws in Abelian groups
We obtain exact inequalities which connect moments of some functions of sums of independent random variables taking values in a measurable Abelian group and those for the accompanying infinitely divisible laws. Some applications to empirical processes are studied.
I. S. Borisov
wiley +1 more source
Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function
Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular
E. A. Timofeev
doaj +1 more source
The asymptotics of monotone subsequences of involutions [PDF]
We compute the limiting distributions of the lengths of the longest monotone subsequences of random (signed) involutions with or without conditions on the number of fixed points (and negated points) as the sizes of the involutions tend to infinity.
Baik, Jinho, Rains, Eric M.
core +3 more sources
Renormalization analysis of catalytic Wright-Fisher diffusions [PDF]
Recently, several authors have studied maps where a function, describing the local diffusion matrix of a diffusion process with a linear drift towards an attraction point, is mapped into the average of that function with respect to the unique invariant ...
Fleischmann, K., Swart, J. M.
core +2 more sources

