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A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence
Uniform distribution (mod 1), Stern-Brocot sequence, Farey sequence,
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2010/12/3
We employ infinite ergodic theory to show that the even Stern-Brocot sequence and the Farey sequence are uniformly distributed mod 1 with respect to certain canonical weightings. As a corollary we der...
Smallest eigenvalue distributions for $\beta$-Jacobi ensembles
Smallest eigenvalue distributions $\beta$-Jacobi ensembles
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2010/12/10
We compute the exact and limiting smallest eigenvalue distributions for a class of -Jacobi ensembles not covered by previous studies. In the general case, these distributions are given by multivari...
Species abundance distributions in neutral models with immigration or mutation and general lifetimes
Species abundance distribution Crump–Mode–Jagers process splitting tree branching process
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2010/12/15
We consider a general, neutral, dynamical model of biodiversity. Individuals have i.i.d.
lifetime durations, which are not necessarily exponentially distributed, and each individual
gives birth inde...
On the parameter domain of Wishart distributions and their infinite divisibility
Wishart distribution Gindikin ensemble matrix variate distributions
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2010/12/8
A complete characterization of Wishart distributions on the cones of positive semi-definite matrices is provided in terms of a description of their maximal parameter domain.
Weight Distributions of Multi-Edge type LDPC Codes
low-density parity-check code structured codes weight distributions
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2010/11/30
The multi-edge type LDPC codes, introduced by Richardson and Urbanke, present the general class of struc-tured LDPC codes. In this paper, we derive the average weight distributions of the multi-edge t...
Estimation of the spectral measure of multivariate regularly varying distributions
regularly varying distributions estimation of parameters stable distributions spectral measure
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2010/12/9
In the paper, the estimator for the spectral measure of multivariate stable distributions introduced by Davydov and co-workers are extended to the regularly varying distributions. The sampling method ...
The space of tempered distributions as a k-space
k-space Prohorov’s conditions Donsker invariance principle
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2010/12/1
In this paper, we investigate the roles of compact sets in the space of tempered distributions S′. The key notion is “k-spaces”, which constitute a fairly general class of topological spaces. In a k-s...
A characterization of non-central Wishart distributions
non-central Wishart distribution Gindikin ensemble Wishart processes
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2010/11/29
This paper settles the existence issue of non-central Wishart distributions which is a research topic initiated byWishart (1928), and with important contributions by e.g., L´evy
(1937), Gindiki...
Molecular Distributions in Gene Regulatory Dynamics
Stochastic modelling；inducible/repressible operon
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2010/12/16
We show how one may analytically compute the stationary density of the distribution of molecular constituents in populations of cells in the presence of noise arising from either bursting transcriptio...
Imbedding Exotic Hida-Kubo-Takenaka Spaces into usual Hida distributions
White noise theory L´ evy Laplacian Exotic Laplacian Gross Lapla-cian
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2010/12/6
We show that (Np), a subspace of exotic Hida-Kubo-Takenaka space is naturally imbedded into (E), the usual Hida-Kubo-Takenaka space under some conditions. We also study on Heat Equations as...
Stationary distributions for jump processes with inert drift
Stationary distributions jump processes inert drift
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2010/12/6
We analyze jump processes Z with “inert drift” determined by a “memory”process S. The state space of (Z, S) is the Cartesian product of the unit circle and the real line. We prove that the stationary ...
Small-time expansions of the distributions, densities, and option prices of stochastic volatility models with Lévy jumps
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2010/12/16
We consider a stochastic volatility model with L´evy jumps for a log-return pro-cess Z = (Zt)t≥0 of the form Z = U +X, where U = (Ut)t≥0 is a classical stochastic volatility process and X = (Xt)...
Matching Dyadic Distributions to Channels
Matching Dyadic Distributions Channels
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2010/12/9
Many communication channels with discrete input have non-uniform capacity achieving probability mass functions (PMF). By parsing a stream of independent and equiprobable bits according to a full prefi...
Particle size distributions from laboratory-scale biomass fires using fast response instruments
Particle size laboratory-scale biomass fires fast response instruments
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2010/9/14
Particle size distribution from biomass combustion is an important parameter as it affects air quality, climate modelling and health effects. To date, particle size distributions reported from prior s...
Concentrations and distributions of dissolved amino acids in fluids from Mid-Atlantic Ridge hydrothermal vents
deep-sea hydrothermal fluids ligands Mid-Atlantic ridge hydrothermal systems dissolved organic matter
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2017/8/9
The concentrations and distributions of dissolved free amino acids (DFAA) were determined in 31 hydrothermal fluid samples from the Logatchev field at 15°N and several hydrothermal vent fields between...