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PRIME SPECIALIZATION IN HIGHER GENUS II
Bateman–Horn conjecture Hardy–Littlewood conjecture
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2015/7/6
We continue the development of the theory of higher-genus M¨obius periodicity
that was studied in Part I for odd characteristic, now treating asymptotic questions and
the case of characteristic 2. T...
ON QUASI-REDUCTIVE GROUP SCHEMES
GROUP SCHEMES group scheme over
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2015/7/6
The paper was motivated by a question of Vilonen, and the main
results have been used by Mirkovi′c and Vilonen to give a geometric interpretation of the dual group (as a Chevalley group over Z) of a ...
Metaplectic Eisenstein Series on GL(3)
Metaplectic Eisenstein Series primes
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2015/7/6
With this assumption, we now work with u1 = u2 = 0 and use only u3. By the extension to o of
Dirichlet's theorem on primes in an arithmetic progression, we may nd u3 such that C
1 = C1+u3A1
is pr...
Integration on p-adic groups and Crystal bases
p-adic groups Crystal bases
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2015/7/6
Kashiwara de ned the notion of a crystal, and gave examples of crystal structures
associated with bases of representations of quantum groups. We recommend the
expository article Kashiwara [7], writt...
Introduction: Multiplpe Dirichlet Series
Introduction Multiplpe Dirichlet Series
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2015/7/6
This introductory article aims to provide a roadmap to many of the
interrelated papers in this volume and to a portion of the field of multiple Dirichlet
series, particularly emerging new idea...
Rare Events in Random Dynamical Systems
Random Dynamical Systems Rare Events
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2015/4/3
“Superparamagnetic limit”: As magnetic devices become smaller
and smaller, the time for thermal activated switching might
become too short (shorter than desired data retention time).
Simple dynamical models interpreting climate data and their metastability
metastability Simple dynamical models interpreting
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2015/4/3
Thm 4: law of V 2 p,n(X) converges to 12-stable law if data of time series X have
α-stable residuals, α = p
Kolmogorov-Smirnov statistics: distance between empirical law of V2 p,n(X)
and 1
2-stabl...
Analytical properties for parabolic stochastic PDEs
PDEs Analytical properties
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2015/4/3
Sobolev spaces Hγ(M), γ ∈ R, M ⊂ Rd
M-bounded
Def If n ∈ N, then Hn - all generalized functions with derivatives up to
n-th order belong to L2(M); kuk 2Hn = P |α | ≤n R
M
|Dαu| 2dx
Equivalent Semigroup Properties for Curvature-Dimension Condition
Equivalent Semigroup Properties Curvature-Dimension Condition
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2015/3/24
Equivalent Semigroup Properties for Curvature-Dimension Condition.
Construction of fractional factorial split-plot designs with weak minimum aberration
fractional factorial split-plot designs weak minimum aberration
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2015/3/20
Construction of fractional factorial split-plot designs with weak minimum aberration.
A method for screening active effects in supersaturated designs
Mixed-level Partial least-squares Supersaturated design
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2015/3/18
A sup ersaturated design (SSD) is a design whose run size is not enough for estimating all the main effects. The goal in conducting such a design is to identify,
presumably only a few, relatively dom...
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere
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2015/3/18
In this paper we propose a method associated with an algorithm for
generating uniformly scattered points on the the Lp-norm unit sphere and
discuss its applications in statistical simulation, repres...
Extended Central Composite Designs and Their Statistical Properties
Statistical Properties Composite Designs
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2015/3/18
There are several desirable properties that response surface designs may have. Sometimes we need designs which have more than
one desirable property at the same time. In this paper, we have proposed ...
Theoretical and Experimental Aspects of the Higgs Mechanism in the Standard Model and Beyond
constraints on Higgs mass Higgs decay modes Higgs production channels
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2014/12/12
The Standard Model of particle physics is the best existing theory for describing the interactions between elementary particles. Even though the Standard Model has been confirmed in many experiments, ...
Chaos and Robustness in a Single Family of Genetic Oscillatory Networks
Chaos and Robustness Genetic Oscillatory Networks
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2014/12/12
Genetic oscillatory networks can be mathematically modeled with delay differential equations (DDEs). Interpreting genetic networks with DDEs gives a more intuitive understanding from a biological stan...