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NEGATIVE DEFINITE RANDOM VARIABLES AND NONLINEAR COMBINATORICS
"... Abstract. Let us suppose we are given a polytope H. It has long been known that Kovalevskaya’s conjecture is false in the context of semitrivial systems [17]. We show that σ −1 wT (1c, ∞) ( ∞ ∪ Rg,b) → ũ (α · 1,..., ˜ρ − ∞) ∧ · · · × exp−1 ( γ ′) ..."
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Abstract. Let us suppose we are given a polytope H. It has long been known that Kovalevskaya’s conjecture is false in the context of semitrivial systems [17]. We show that σ −1 wT (1c, ∞) ( ∞ ∪ Rg,b) → ũ (α · 1,..., ˜ρ − ∞) ∧ · · · × exp−1 ( γ ′)
ON CASSONTYPE INSTANTON MODULI SPACES OVER NEGATIVE DEFINITE FOURMANIFOLDS
, 802
"... Abstract. Recently Andrei Teleman considered instanton moduli spaces over negative definite fourmanifolds X with b2(X) ≥ 1. If b2(X) is divisible by four and b1(X) = 1 a gaugetheoretic invariant can be defined; it is a count of flat connections modulo the gauge group. Our first result shows that ..."
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Cited by 3 (1 self)
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Abstract. Recently Andrei Teleman considered instanton moduli spaces over negative definite fourmanifolds X with b2(X) ≥ 1. If b2(X) is divisible by four and b1(X) = 1 a gaugetheoretic invariant can be defined; it is a count of flat connections modulo the gauge group. Our first result shows
NEGATIVE DEFINITE FUNCTIONS AND CONVOLUTION SEMIGROUPS OF PROBABILITY MEASURES ON A COMMUTATIVE HYPERGROUP
, 1996
"... Corresponding to the definitions of positive definite functions there are vanous approaches to defining negative defmite functions on hypergroups. These range from the obvious "pointwise" definition to axiomatization via the Schoenberg duality. Researchers in this area have used definitio ..."
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Corresponding to the definitions of positive definite functions there are vanous approaches to defining negative defmite functions on hypergroups. These range from the obvious "pointwise" definition to axiomatization via the Schoenberg duality. Researchers in this area have used
Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3manifolds
"... Abstract. We derive a cutandpaste surgery formula of Seiberg–Witten invariants for negative definite plumbed rational homology 3spheres. It is similar to (and motivated by) Okuma’s recursion formula [27, 4.5] targeting analytic invariants of splicequotient singularities. Combining the two formul ..."
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Cited by 8 (5 self)
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Abstract. We derive a cutandpaste surgery formula of Seiberg–Witten invariants for negative definite plumbed rational homology 3spheres. It is similar to (and motivated by) Okuma’s recursion formula [27, 4.5] targeting analytic invariants of splicequotient singularities. Combining the two
Stationary maxstable fields associated to negative definite functions, Ann
 Prob
, 2009
"... Let Wi,i ∈ N, be independent copies of a zeromean Gaussian process {W(t),t ∈ R d} with stationary increments and variance σ 2 (t). Independently of Wi, let ∑∞ i=1 δUi be a Poisson point process on the real line with intensity e −y dy. We show that the law of the random family of functions {Vi(·),i ..."
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Cited by 61 (12 self)
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Let Wi,i ∈ N, be independent copies of a zeromean Gaussian process {W(t),t ∈ R d} with stationary increments and variance σ 2 (t). Independently of Wi, let ∑∞ i=1 δUi be a Poisson point process on the real line with intensity e −y dy. We show that the law of the random family of functions {Vi(·),i ∈ N}, where Vi(t) = Ui +Wi(t) − σ 2 (t)/2, is translation invariant. In particular, the process η(t) = ∨ ∞ i=1 Vi(t) is a stationary maxstable process with standard Gumbel margins. The process η arises as a limit of a suitably normalized and rescaled pointwise maximum of n i.i.d. stationary Gaussian processes as n → ∞ if and only if W is a (nonisotropic) fractional Brownian motion on R d. Under suitable conditions on W, the process η has a mixed moving maxima representation.
ESSENTIALLY COMPACT, NEGATIVE DEFINITE, CONNECTED POLYTOPES FOR A POSITIVE DEFINITE FUNCTOR
"... Let f be an uncountable, Mmultiply orthogonal domain. Recent interest in unconditionally symmetric homeomorphisms has centered on examining closed, quasionetoone ideals. We show that e is not diffeomorphic to ¯ H. So in [15], the main result was the derivation of contrastochastically normal mo ..."
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Let f be an uncountable, Mmultiply orthogonal domain. Recent interest in unconditionally symmetric homeomorphisms has centered on examining closed, quasionetoone ideals. We show that e is not diffeomorphic to ¯ H. So in [15], the main result was the derivation of contrastochastically normal monoids. Moreover, a central problem in real PDE is the derivation of semialgebraically minimal homeomorphisms.
Insertion sequences
 Microbiol Mol. Biol. Rev
, 1998
"... These include: Receive: RSS Feeds, eTOCs, free email alerts (when new articles cite this article), more» Downloaded from ..."
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Cited by 426 (3 self)
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These include: Receive: RSS Feeds, eTOCs, free email alerts (when new articles cite this article), more» Downloaded from
Decomposition of H*Algebra Valued Negative Definite Functions on Topological *Semigroups
"... ch ive of ..."
Strictly Proper Scoring Rules, Prediction, and Estimation
, 2007
"... Scoring rules assess the quality of probabilistic forecasts, by assigning a numerical score based on the predictive distribution and on the event or value that materializes. A scoring rule is proper if the forecaster maximizes the expected score for an observation drawn from the distribution F if he ..."
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Cited by 361 (28 self)
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, the energy score admits a kernel representation in terms of negative definite functions, with links to inequalities of Hoeffding type, in both univariate and multivariate settings. Proper scoring rules for quantile and interval forecasts are also discussed. We relate proper scoring rules to Bayes factors
Results 11  20
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1,498,909