共查询到20条相似文献,搜索用时 31 毫秒
1.
Quillen’s algebraic K-theory is reconstructed via Voevodsky’s algebraic cobordism. More precisely, for a ground field k the algebraic cobordism P1-spectrum MGL of Voevodsky is considered as a commutative P1-ring spectrum. Setting we regard the bigraded theory MGL
p,q
as just a graded theory. There is a unique ring morphism which sends the class [X]MGL of a smooth projective k-variety X to the Euler characteristic of the structure sheaf . Our main result states that there is a canonical grade preserving isomorphism of ring cohomology theories
on the category in the sense of [6], where K*(X
on
Z) is Thomason–Trobaugh K-theory and K′
* is Quillen’s K′-theory. In particular, the left hand side is a ring cohomology theory. Moreover both theories are oriented in the sense of
[6] and ϕ respects the orientations. The result is an algebraic version of a theorem due to Conner and Floyd. That theorem
reconstructs complex K-theory via complex cobordism [1]. 相似文献
2.
Richard Nickl 《Journal of Theoretical Probability》2009,22(1):38-56
Let μ
n
be a sequence of random finite signed measures on the locally compact group G equal to either
or ℝ
d
. We give weak conditions on the sequence μ
n
and on functions K such that the convolution product μ
n
*K, and its derivatives, converge in law, in probability, or almost surely in the Banach spaces
or L
p
(G). Examples for sequences μ
n
covered are the empirical process (possibly arising from dependent data) and also random signed measures
where
is some (nonparametric) estimator for the measure ℙ, including the usual kernel and wavelet based density estimators with
MISE-optimal bandwidths. As a statistical application, we apply the results to study convolutions of density estimators.
相似文献
3.
Irina Ignatiouk-Robert 《Journal of Theoretical Probability》2008,21(1):35-68
A complete representation of the Martin boundary of killed random walks on a half-space ℤ
d−1×ℕ* is obtained. In particular, it is proved that the corresponding Martin boundary is homemorphic to the half-sphere
. The method is based on a combination of ratio limits theorems and large deviation techniques. 相似文献
4.
Enkelejd Hashorva 《Extremes》2007,10(4):175-206
Let be an elliptical random vector with a non-singular square matrix and a spherical random vector in , and let be a sequence of vectors in such that . We assume in this paper that the associated random radius R
k
=(S
1 + S
2 +...+S
k
)1/2 is almost surely positive, and it has distribution function in the Gumbel max-domain of attraction. Relying on extreme value
theory we obtain an exact asymptotic expansion of the tail probability for converging as to a boundary point. Further we discuss density convergence under a suitable transformation. We apply our results to obtain
an asymptotic approximation of the distribution of partial excess above a high threshold, and to derive a conditional limiting
result. Further, we investigate the asymptotic behaviour of concomitants of order statistics, and the tail asymptotics of
associated random radius for subvectors of .
相似文献
5.
Ilwoo Cho 《Acta Appl Math》2007,95(2):95-134
In this paper, we will define a graph von Neumann algebra over a fixed von Neumann algebra M, where G is a countable directed graph, by a crossed product algebra = M ×
α
, where is the graph groupoid of G and α is the graph-representation. After defining a certain conditional expectation from onto its M-diagonal subalgebra we can see that this crossed product algebra is *-isomorphic to an amalgamated free product
where = vN(M ×
α
where is the subset of consisting of all reduced words in {e, e
–1} and M ×
α
is a W
*-subalgebra of as a new graph von Neumann algebra induced by a graph G
e
. Also, we will show that, as a Banach space, a graph von Neumann algebra is isomorphic to a Banach space ⊕
where is a certain subset of the set E(G)* of all words in the edge set E(G) of G.
The author really appreciates to Prof F. Radulescu and Prof P. Jorgensen for the valuable discussion and kind advice. Also,
he appreciates all supports from St. Ambrose Univ.. In particular, he thanks to Prof T. Anderson and Prof V. Vega for the
useful conversations and suggestions. 相似文献
6.
Bent functions have many applications in the fields of coding theory, communications and cryptography. This paper studies
the constructions of bent functions having the form
for odd n and
for even n, over the finite field
of odd characteristic p, where
. Based on the irreducibility of some polynomials on
, we focus on characterizing the bent functions for n=p
v
q
r
and n=2p
v
q
r
, where
is an odd prime and p a primitive root modulo q
2. Moreover, the enumerations of those functions are also considered.
Partially supported by the NSF of China under Grants No. 60603012 and No. 60573053. 相似文献
7.
8.
Norbert Hegyvári 《The Ramanujan Journal》2009,19(1):1-8
We investigate additive-multiplicative bases in
. Let
, s>2, and
. It is proved that
, provided min {|B|
s/2|A|(s−2)/2,|A|
s/2|B|(s−2)/2}>p
s/2.
This note is supported by “Balaton Program Project” and OTKA grants K 61908, K 67676. 相似文献
9.
Sascha Orlik 《Inventiones Mathematicae》2008,172(3):585-656
Let be Drinfeld’s upper half space over a finite extension K of ℚ
p
. We construct for every GL
d+1-equivariant vector bundle on ℙ
d
K
, a GL
d+1(K)-equivariant filtration by closed subspaces on the K-Fréchet . This gives rise by duality to a filtration by locally analytic GL
d+1(K)-representations on the strong dual . The graded pieces of this filtration are locally analytic induced representations from locally algebraic ones with respect
to maximal parabolic subgroups. This paper generalizes the cases of the canonical bundle due to Schneider and Teitelbaum [ST1]
and that of the structure sheaf by Pohlkamp [P]. 相似文献
10.
Inspired by the work of Paterson on C
*
-algebras of directed graphs, we show how to associate a groupoid
to an ultragraph
in such a way that the C
*-algebra of
is canonically isomorphic to Tomforde’s C
*-algebra
. The groupoid
is built from an inverse semigroup
naturally associated to
.
A.E. Marrero was supported by grants from the National Science Foundation and the Sloan Foundation and by a GAANN Fellowship.
Many of the results here are taken from this author’s dissertation [7].
P.S. Muhly was supported by a grant from the National Science Foundation (DMS-0355443). 相似文献
11.
Let be independent and identically distributed random variables with heavy-tailed distributions. Consider a sequence of random
weights , independent of and focus on the weighted sums , where μ involves a suitable centering. We establish sufficient conditions for these weighted sums to converge to non-trivial limit
processes, as n→∞, when appropriately normalized. The convergence holds, for example, if is strictly stationary, dependent, and W
1 has lighter tails than U
1. In particular, the weights W
j
s can be strongly dependent. The limit processes are scale mixtures of stable Lévy motions. We establish weak convergence
in the Skorohod J
1-topology. We also consider multivariate weights and show that they converge weakly in the strong Skorohod M
1-topology. The M
1-topology, while weaker than the J
1-topology, is strong enough for the supremum and infimum functionals to be continuous.
This research was partially supported by a fellowship of the Horace H. Rackham School of Graduate Studies at the University
of Michigan and the NSF Grants BCS-0318209 and DMS-0505747 at Boston University. 相似文献
12.
In this article, we use a discrete Calderón-type reproducing formula and Plancherel-Pôlya-type inequality associated to a para-accretive function to characterize the Triebel-Lizorkin spaces of para-accretive type $\dot{F}^{\alpha,q}_{b,p}In this article, we use a discrete Calderón-type reproducing formula and Plancherel-P?lya-type inequality associated to a
para-accretive function to characterize the Triebel-Lizorkin spaces of para-accretive type
, which reduces to the classical Triebel-Lizorkin spaces when the para-accretive function is constant. Moreover, we give a
necessary and sufficient condition for the
boundedness of paraproduct operators. From this, we show that a generalized singular integral operator T with M
b
TM
b
∈WBP is bounded from
to
if and only if
and T
*
b=0 for
, where ε is the regularity exponent of the kernel of T.
Chin-Cheng Lin supported by National Science Council, Republic of China under Grant #NSC 97-2115-M-008-021-MY3.
Kunchuan Wang supported by National Science Council, Republic of China under Grant #NSC 97-2115-M-259-009 and NCU Center for
Mathematics and Theoretic Physics. 相似文献
13.
Let
be a simply connected domain in
, such that
is connected. If g is holomorphic in Ω and every derivative of g extends continuously on
, then we write g ∈ A∞ (Ω). For g ∈ A∞ (Ω) and
we denote
. We prove the existence of a function f ∈ A∞(Ω), such that the following hold:
相似文献
i) | There exists a strictly increasing sequence μn ∈ {0, 1, 2, …}, n = 1, 2, …, such that, for every pair of compact sets Γ, Δ ⊂ and every l ∈ {0, 1, 2, …} we have |
ii) | For every compact set with and Kc connected and every function continuous on K and holomorphic in K0, there exists a subsequence of , such that, for every compact set we have |
14.
N. Bergeron 《Transformation Groups》2009,14(1):41-86
Let G be a connected semisimple group over . Given a maximal compact subgroup K ⊂ G() such that X = G()/K is a Hermitian symmetric domain, and a convenient arithmetic subgroup Γ ⊂ G(), one constructs a (connected) Shimura variety S = S(Γ) = Γ\X. If H ⊂ G is a connected semisimple subgroup such that H() / K is maximal compact, then Y = H()/K is a Hermitian symmetric subdomain of X. For each g ∈ G() one can construct a connected Shimura variety S(H, g) = (H() ∩ g
−1Γg)\Y and a natural holomorphic map j
g
: S(H, g) → S induced by the map H() → G(), h → gh. Let us assume that G is anisotropic, which implies that S and S(H, g) are compact. Then, for each positive integer k, the map j
g
induces a restriction map
In this paper we focus on classical Hermitian domains and give explicit criterions for the injectivity of the product of the
maps R
g
(for g running through G()) when restricted to the strongly primitive (in the sense of Vogan and Zuckerman) part of the cohomology. In the holomorphic
case we recover previous results of Clozel and Venkataramana [CV]. We also derive applications of our results to the proofs
of new cases of the Hodge conjecture and of new results on the vanishing of the cohomology of some particular Shimura variety. 相似文献
15.
Sun Zhonghua Qi Wenfeng 《高校应用数学学报(英文版)》2007,22(4):469-477
Let Z/(pe) be the integer residue ring modulo pe with p an odd prime and integer e ≥ 3. For a sequence (a) over Z/(pe), there is a unique p-adic decomposition (a) = (a)0 (a)1·p … (a)e-1 ·pe-1, where each (a)i can be regarded as a sequence over Z/(p), 0 ≤ i ≤ e - 1. Let f(x) be a primitive polynomial over Z/(pe) and G' (f(x), pe) the set of all primitive sequences generated by f(x) over Z/(pe). For μ(x) ∈ Z/(p)[x] with deg(μ(x)) ≥ 2 and gcd(1 deg(μ(x)),p- 1) = 1,set ψe-1 (x0, x1,…, xe-1) = xe-1·[ μ(xe-2) ηe-3 (x0, x1,…, xe-3)] ηe-2 (x0, x1,…, xe-2),which is a function of e variables over Z/(p). Then the compressing map ψe-1: G'(f(x),pe) → (Z/(p))∞,(a) (→)ψe-1((a)0, (a)1,… ,(a)e-1) is injective. That is, for (a), (b) ∈ G' (f(x), pe), (a) = (b) if and only if ψe - 1 ((a)0, (a)1,… , (a)e - 1) =ψe - 1 ((b)0,(b)1,… ,(b)e-1). As for the case of e = 2, similar result is also given. Furthermore, if functions ψe-1 and ψe-1 over Z/(p) are both of the above form and satisfy ψe-1((a)0,(a)1,… ,(a)e-1) = ψe-1((b)0,(b)1,… ,(b)e-1) for (a),(b) ∈ G'(f(x),pe), the relations between (a) and (b), ψe-1 and ψe-1 are discussed. 相似文献
16.
Enkelejd Hashorva 《Extremes》2009,12(3):239-263
Let (S
1,S
2) = (R cos(Θ), R sin(Θ)) be a bivariate random vector with associated random radius R which has distribution function F being further independent of the random angle Θ. In this paper we investigate the asymptotic behaviour of the conditional
survivor probability when u approaches the upper endpoint of F. On the density function of Θ we impose a certain local asymptotic behaviour at 0, whereas for F we require that it belongs to the Gumbel max-domain of attraction. The main result of this contribution is an asymptotic
expansion of , which is then utilised to construct two estimators for the conditional distribution function . Furthermore, we allow Θ to depend on u.
相似文献
17.
Piotr M. Hajac Rainer Matthes Wojciech Szymanski 《Algebras and Representation Theory》2006,9(2):121-146
The irreducible *-representations of the polynomial algebra
of the quantum3-sphere introduced by Calow and Matthes are classified. The K-groups of its universal C*-algebra are shown to coincide with their classical counterparts. The U(1)-action on
corresponding for p=1=q to the classical Hopf fibration is proven to be Galois (free). The thus obtained locally trivial Hopf–Galois extension is
shown to be equivariantly projective (admitting a strong connection) and non-cleft. The latter is proven by determining an
appropriate pairing of cyclic cohomology and K-theory.
Presented by S. L. Woronowicz
Mathematics Subject Classifications (2000) 16W30, 46L87. 相似文献
18.
A class of minimal almost complex submanifolds of a Riemannian manifold
with a parallel quaternionic structure Q, in particular of a 4-dimensional oriented Riemannian manifold, is studied. A notion of Kähler submanifold is defined. Any Kähler submanifold is pluriminimal. In the case of a quaternionic Kähler manifold
of non zero scalar curvature, in particular, when
is an Einstein, non Ricci-flat, anti-self-dual 4-manifold, we give a twistor construction of Kähler submanifolds M2n of maximal possible dimension 2n. More precisely, we prove that any such Kähler submanifold M2n of
is the projection of a holomorphic Legendrian submanifold
of the twistor space
of
, considered as a complex contact manifold with the natural holomorphic contact structure
. Any Legendrian submanifold of the twistor space
is defined by a generating holomorphic function. This is a natural generalization of Bryants construction of superminimal surfaces in S4=P1. Mathematics Subject Classification (1991) Primary: 53C40; Secondary: 53C55 相似文献
19.
In the study of the asymptotic behaviour of solutions of differential-difference equations the
-spectrum has been useful, where
and
implies Fourier transform
, with
given
, φ∈L
∞(ℝ,X), X a Banach space,
(half)line. Here we study
and related concepts, give relations between them, especially
weak Laplace half-line spectrum of φ, and thus ⊂ classical Beurling spectrum = Carleman spectrum =
; also
= Beurling spectrum of “φ modulo
” (Chill-Fasangova). If
satisfies a Loomis type condition (L
U
), then
countable and
uniformly continuous ∈U are shown to imply
; here (L
U
) usually means
, indefinite integral Pf of f in U imply Pf in
(the Bohl-Bohr theorem for
= almost periodic functions, U=bounded functions). This spectral characterization and other results are extended to unbounded functions via mean classes
, ℳ
m
U ((2.1) below) and even to distributions, generalizing various recent results for uniformly continuous bounded φ. Furthermore for solutions of convolution systems S*φ=b with
in some
we show
. With these above results, one gets generalizations of earlier results on the asymptotic behaviour of solutions of neutral
integro-differential-difference systems. Also many examples and special cases are discussed. 相似文献
20.
We prove a functional law of iterated logarithm for the following kind of anticipating stochastic differential equations
where u>e, W={(W
t
1,…,W
t
k
),0≤t≤1} is a standard k-dimensional Wiener process,
are functions of class
with bounded partial derivatives up to order 2, X
0
u
is a random vector not necessarily adapted and the first integral is a generalized Stratonovich integral.
The work is partially supported by DGES grant BFM2003-01345. 相似文献