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The research on the local correlation structure of copula function is an attractive topic.This paper investigates bivariate copula function’s local correlation structure by defining its concentration ...
In studying the enumerative theory of super characters of the group of upper triangular matrices over a finite field we found that the moments (mean, variance and higher moments) of novel...
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = f1;2; : : : ; ng. The arguments use a novel stochastic representation and are also ...
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
In this paper, an explicit formulation for two dimensional multi- variate truncated power functions is presented, and a simpli痚d explicit for- mulation for two dimensional vector partition functions...
We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions φ(-q) and ψ(-q). We also give an involution for Fine's partition identity on th...
We show that the number of partitions of n with alternating sum k such that the multiplicity of each part is bounded by 2m + 1 equals the number of partitions of n with k odd parts such that the multi...
Values of the octanol-water partition coefficient (Kow) have been measured vs. pH for two fluorescent dyes (fluorescein, eosin Y) commonly used in hydrologic tracer tests. Values for both fluorescent...
We consider the computational aspects of lossy data compression problem, where the compression error is determined by a cover of the data space. We propose an algorithm which reduces the number of par...
Abstract: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
Abstract: We study a family of Markov processes on $\mathcal{P}^{(k)}$, the space of partitions of the natural numbers with at most $k$ blocks. The process can be constructed from a Poisson point proc...
Abstract: We use a deletion-contraction relation for the variable field Potts model partition function to give an expansion of the variable field Potts model partition function in terms of the zero fi...
This article discusses partition function of monatomic ideal gas which is given in Statistical Physisc at Physics Department,Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, In...
A fast charged particle traversing a plasma loses its energy to both the electrons and the ions in the plasma. We compute the energy partition, the fractions Ee/E0 and EI/E0 of the initial energy E0 o...
Abstract: A partition structure is a random point process on $[0,1]$ whose points sum to 1, almost surely. In the case that there are infinitely many points to begin with, we consider a thinning actio...

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