Results 1  10
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10,785
The Brjuno functions and their regularity properties
 Commun. Math. Phys
, 1997
"... We show that various possible versions of the Brjuno function, based on different kinds of continued fraction developments, are all equivalent and we study their regularity (L p , BMO and Holder) properties, through a systematic analysis of the functional equation which they fulfill. Submitted to ..."
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Cited by 32 (9 self)
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We show that various possible versions of the Brjuno function, based on different kinds of continued fraction developments, are all equivalent and we study their regularity (L p , BMO and Holder) properties, through a systematic analysis of the functional equation which they fulfill. Submitted
Verification of NonRegular Properties
"... We present a gamebased formalism that can be used to do local model checking for FLC, a modal fixed point logic that extends the calculus with a sequential composition operator. This logic is capable of expressing nonregular properties which are interesting for verification purposes. 1. ..."
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We present a gamebased formalism that can be used to do local model checking for FLC, a modal fixed point logic that extends the calculus with a sequential composition operator. This logic is capable of expressing nonregular properties which are interesting for verification purposes. 1.
On the Regularity Properties of Perturbed Semigroups
, 1998
"... . We give conditions on a strongly continuous semigroup T and a bounded operator B, such that the perturbed semigroup inherits the regularity properties of T . 1. Introduction The aim of this paper is to understand why some regularity properties of strongly continuous semigroups persist under bound ..."
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Cited by 6 (4 self)
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. We give conditions on a strongly continuous semigroup T and a bounded operator B, such that the perturbed semigroup inherits the regularity properties of T . 1. Introduction The aim of this paper is to understand why some regularity properties of strongly continuous semigroups persist under
Regularity properties for triple systems
, 1999
"... Abstract. Szemerédi’s Regularity Lemma proved to be a powerful tool in the area of extremal graph theory [5]. Many of its applications are based on the following technical fact: If G is a kpartite graph with V (G) = ⋃k i=1 Vi, Vi  = n for all i ∈ [k], and all pairs {Vi, Vj}, 1 ≤ i < j ≤ k, a ..."
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Cited by 25 (11 self)
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Abstract. Szemerédi’s Regularity Lemma proved to be a powerful tool in the area of extremal graph theory [5]. Many of its applications are based on the following technical fact: If G is a kpartite graph with V (G) = ⋃k i=1 Vi, Vi  = n for all i ∈ [k], and all pairs {Vi, Vj}, 1 ≤ i < j ≤ k
Manifold regularization: A geometric framework for learning from labeled and unlabeled examples
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2006
"... We propose a family of learning algorithms based on a new form of regularization that allows us to exploit the geometry of the marginal distribution. We focus on a semisupervised framework that incorporates labeled and unlabeled data in a generalpurpose learner. Some transductive graph learning al ..."
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Cited by 578 (16 self)
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algorithms and standard methods including Support Vector Machines and Regularized Least Squares can be obtained as special cases. We utilize properties of Reproducing Kernel Hilbert spaces to prove new Representer theorems that provide theoretical basis for the algorithms. As a result (in contrast to purely
On the regularizing properties of the GMRES method
 Numer. Math
"... Abstract. The GMRES method is a popular iterative method for the solution of large linear systems of equations with a nonsymmetric nonsingular matrix. However, little is known about the behavior of this method when it is applied to the solution of nonsymmetric linear illposed problems with a right ..."
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Cited by 6 (1 self)
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hand side that is contaminated by errors. We show that when the associated errorfree righthand side lies in a finitedimensional Krylov subspace, the GMRES method is a regularization method. The iterations are terminated by a stopping rule based on the discrepancy principle.
On robustness of the regularity property of maps by
"... Abstract: The problem considered in the paper can be described as follows. We are given a continuous mapping from one metric space into another which is regular (in the sense of metric regularity or, equivalently, controllability at a linear rate) near a certain point. How small may be an additive p ..."
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Cited by 2 (0 self)
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Abstract: The problem considered in the paper can be described as follows. We are given a continuous mapping from one metric space into another which is regular (in the sense of metric regularity or, equivalently, controllability at a linear rate) near a certain point. How small may be an additive
Regularity Properties of Distributions and Ultradistributions
, 1999
"... We give necessary and sufficient conditions for a regularized net of a distribution in an open set\Omega which imply that this distribution is a smooth function or C k function in \Omega\Gamma We give also necessary and sufficient conditions for an ultradistribution to be an ultradifferenciable fu ..."
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Cited by 2 (0 self)
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We give necessary and sufficient conditions for a regularized net of a distribution in an open set\Omega which imply that this distribution is a smooth function or C k function in \Omega\Gamma We give also necessary and sufficient conditions for an ultradistribution to be an ultradifferenciable
On regularity properties of Bessel flow
, 902
"... We study the differentiability of Bessel flow ρ: x → ρ x t, where (ρ x t)t�0 is BES x (δ) process of dimension δ> 1 starting from x. For δ � 2 we prove the existence of bicontinuous derivatives in Pa.s. sense at x � 0 and we study the asymptotic behaviour of the derivatives at x = 0. For 1 < ..."
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We study the differentiability of Bessel flow ρ: x → ρ x t, where (ρ x t)t�0 is BES x (δ) process of dimension δ> 1 starting from x. For δ � 2 we prove the existence of bicontinuous derivatives in Pa.s. sense at x � 0 and we study the asymptotic behaviour of the derivatives at x = 0. For 1 < δ < 2 we prove the existence of a modification of Bessel flow having derivatives in probability sense at x � 0. We study the asymptotic behaviour of the derivatives at t = τ0(x) where τ0(x) is the first zero of (ρ x t)t�0. 1
Results 1  10
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10,785