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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:On Deligne-Beilinson cohomology of the universal K3 surface
泛K3曲面 Deligne-Beilinson 同调
2023/5/15
We discuss a method for curve estimation based on n noisy
data; one translates the empirical wavelet coecients towards the origin by
an amount p
2 log(n) =p
n. The method is nearly minimax for...
The purpose of this note is to define an Aronszajn line ηC and prove that under the assumption of PFA it is universal for the class of Aronszajn lines. Moreover ηC can be easily described in terms of ...
Universal cycles for combinatorial structures。
Universal covering spaces and fundamental groups in algebraic geometry as schemes
algebraic geometry fundamental groups
2015/7/14
In topology, the notions of the fundamental group
and the universal cover are closely intertwined. By importing
usual notions from topology into the algebraic and arithmetic setting, we construct a ...
Products of Universal Cycles。
UNIVERSAL POISSON AND NORMAL LIMIT THEOREMS IN GRAPH COLORING PROBLEMS WITH CONNECTIONS TO EXTREMAL COMBINATORICS
Limit theorem the monochromatic edge evenly random colors random graph
2015/7/7
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
Mathematics of the total alkalinity–pH equation – pathway to robust and universal solution algorithms: the SolveSAPHE package v1.0.1
the total alkalinity–pH equation pathway to robust
2014/12/12
The total alkalinity–pH equation, which relates total alkalinity and pH for a given set of total concentrations
of the acid–base systems that contribute to total alkalinity
in a given water sample, ...
Universal quadratic forms and Whitney tower intersection invariants
Whitney towers twisted Whitney towers quadratic refinements Arf invariants Lie algebra
2012/7/11
The first part of this paper exposits a simple geometric description of the Kirby-Siebenmann invariant of a 4--manifold in terms of a quadratic refinement of its intersection form. This is the first i...
A universal approximate cross-validation criterion and its asymptotic distribution
AIC cross entropy crossvalidation estimator choice Kullback-Leibler risk model selection ordered categorical observations psychometric tests
2012/6/29
A general framework is that the estimators of a distribution are obtained by minimizing a function (the estimating function) and they are assessed through another function (the assessment function). T...
Topological and uniform structures on universal covering spaces
Universal covering maps uniform structures Algebraic Topology
2012/6/7
We discuss various uniform structures and topologies on the universal covering space $\widetilde X$ and on the fundamental group $\pi_1(X,x_0)$. We introduce a canonical uniform structure $CU(X)$ on a...
Brauer's generalized decomposition numbers and universal deformation rings
Universal deformation rings Brauer’s generalized decomposition numbers tame blocks dihedral defect groups semidihedral defect groups
2012/4/17
We study the problem of lifting to local rings certain mod 2 representations V of finite groups G which belong to 2-modular tame blocks B of G having at least two isomorphism classes of simple modules...
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
Dynamical Systems
2012/4/17
In this paper, we compute universal minimal flows of groups of automorphisms of uncountable $\omega$-homogeneous graphs, $K_n$-free graphs, hypergraphs, partially ordered sets, and their extensions wi...
Sub-Riemannian structures corresponding to K鋒lerian metrics on the universal Teichmueller space and curve
Teichmuller space group of diffeomorphisms Lie-Frechet group Virasoro-Bott group Virasoro algebra sub-Riemannian geometry
2012/2/29
We consider the group of sense-preserving diffeomorphisms $\Diff S^1$ of the unit circle and its central extension, the Virasoro-Bott group, with their respective horizontal distributions chosen to be...
A universal first order formula defining the ring of integers in a number field
universal first order formula defining ring integers number field
2012/3/1
We show that the complement of the ring of integers in a number field K is Diophantine. This means the set of ring of integers in K can be written as {t in K | for all x_1, ..., x_N in K, f(t,x_1, ......