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On the spectral analysis of second-order Markov chains
second order Markov chains trajectorial reversibility spectrum of non-reversible Markov kernels spectral gap improvement of speed of convergence discrete position-speed Markov chains homogeneous and Abelian second order Markov chains
2015/7/7
Second order Markov chains which are trajectorially reversible are considered. Contrary to the reversibility notion for usual Markov chains, no symmetry property can be deduced for the corresponding t...
Notation. For a positive integer n and a commutative ring R, we write R[n] to denote R
Z Z[n] =
R[X]=(n), where n denotes the nth cyclotomic polynomial. Thus, for R = Z[n] with n relatively pr...
This
basis is de ned as being dual to the standard intertwining operators. He remarked
(p.402) that it was an unsolved and apparently dicult problem to compute this
basis explicitly. For his appli...
High-order accurate simulation of low-Mach laminarow past two side-by-side cylinders with Spectral Dfference method
low-Mach laminarow simulation
2015/6/23
This report presents development of a two-dimensional solver for compressible viscous
ow using Spectral Dierence (SD) method and its applications on simulating laminar
ow past two cylinders. The ...
First-order SODE: OU processdX+aX(t)dt= dW(t)
Three options:a >0, a= 0, a <0.
First-order SPDE:du= au
xx dt+dW(t, x)
One option:a >0(Infinite-dimensional stable OU process.)
Second-order SODE:X¨ ...
A GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION FOR TWO-LEVEL REGULAR DESIGNS
GENERAL MINIMUM LOWER-ORDER CONFOUNDING CRITERION TWO-LEVEL REGULAR DESIGNS
2015/3/20
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such a ...
A General Minimum Lower-Order Confounding Criterion for Two-Level Regular Designs
Clear effects criterion Estimation ability
2015/3/18
Based on the hierarchical ordering principle of factorial effects in experimental
design, we propose an aliased effect-number pattern (AENP) as a criterion to judge
a two-level regular design; such ...
MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD
Response surface designs modified slope rotatable central composite designs
2015/3/18
In this paper, a new method of modified second order slope rotatable designs
(SOSRD) using balanced incomplete block designs (BIBD) for 4≤v≤16 is presented. In
this method the number of design point...
A high-order conservative collocation scheme and its application to global shallow-water equations
conservative collocation scheme global shallow-water equations
2015/3/5
In this paper, an efficient and conservative collocation method is proposed and used to develop a global
shallow-water model. Being a nodal type high-order scheme,
the present method solves th...
Most of our food, medicine, fuel, plastics and synthetic fibers wouldn’t exist without catalysts, materials that open favorable pathways for chemical reactions to run forth. And yet chemists don’t ful...
Nitrogen, Phosphorus and Carbon Dynamics during Storms in a Glaciated Third-Order Watershed in the US Midwest
DOC nitrate phosphorus hydrology
2015/1/16
The characterization of the nutrients nitrogen, phosphorus and carbon (NPC) export to streams during storms is an integral part of understanding processes affecting water quality. Despite the fact tha...
Nutrient and Contaminant Export Dynamics in a Larger-order Midwestern Watershed: Upper White River, Central Indiana, USA
export nitrogen nitrate phosphorus atrazine
2015/1/16
The transport of excess nutrients, sediment, and other contaminants to surface waters has been shown to cause a number of environmental and human health concerns. An understanding of the export pathwa...
Chiral sum rules to second order in quark mass
Isospin hypercharged axial vector current chiral perturbation theory chiral spectrum function low energy spectrum functions
2014/12/22
A new calculation of the isospin and hypercharge axial-vector current propagators [ ΔA33μν(q2) and ΔA88μν(q2)] to two loops in SU(3)×SU(3) chiral perturbation theory is used to derive chiral spectral ...
Higher order polarizabilities of the proton
Compton scattering protons high order polarization quark model
2014/12/22
Compton scattering results are used to probe proton structure via measurement of higher order polarizabilities. Values for αE2p, βE2p, αEνp, and βEνp determined via dispersion relations ar...
Decay pi(0)->gamma gamma to next to leading order in chiral perturbation theory
Decay of amplitude induced mixing pure state low energy
2014/12/20
The π0→γγ decay width is analyzed within the combined framework of chiral perturbation theory and the 1/Nc expansion up to O(p6) and O(p4×1/Nc) in the decay amplitude. The η′ is explicitly included in...