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A generalized perturbed pendulum
 Chaos Solitons and Fractals
"... The simple pendulum is a paradigm in the study of oscillations and other phenomena in physics and nonlinear dynamics. This explains why it has deserved much attention, from many viewpoints, for a long time. Here, we attempt to describe what we call a generalized perturbed pendulum, which comprises, ..."
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Cited by 2 (1 self)
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The simple pendulum is a paradigm in the study of oscillations and other phenomena in physics and nonlinear dynamics. This explains why it has deserved much attention, from many viewpoints, for a long time. Here, we attempt to describe what we call a generalized perturbed pendulum, which comprises
On General Perturbations of Symmetric Markov Processes
, 2008
"... Let X be a symmetric right process, and let Z = {Zt, t ≥ 0} be a multiplicative functional of X that is the product of a Girsanov transform, a Girsanov transform under timereversal and a continuous FeynmanKac transform. In this paper we derive necessary and sufficient conditions for the strong L 2 ..."
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Cited by 7 (3 self)
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2continuity of the semigroup {Tt, t ≥ 0} given by Ttf(x) = Ex [Ztf(Xt)], expressed in terms of the quadratic form obtained by perturbing the Dirichlet form of X in the appropriate way. The transformations induced by such Z include all those treated previously in the literature, such as Girsanov
Ruin probabilities and decompositions for general perturbed risk processes
 Annals of Applied Probability
, 2003
"... We study a general perturbed risk process with cumulative claims modelled by a subordinator with finite expectation, and the perturbation being a spectrally negative Lévy process with zero expectation. We derive a PollaczekHinchin type formula for the survival probability of that risk process, and ..."
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Cited by 32 (0 self)
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We study a general perturbed risk process with cumulative claims modelled by a subordinator with finite expectation, and the perturbation being a spectrally negative Lévy process with zero expectation. We derive a PollaczekHinchin type formula for the survival probability of that risk process
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5396 (68 self)
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was the exploration of variations around a point, within the bounds imposed by the constraints, in order to help characterize solutions and portray them in terms of ‘variational principles’. Notions of perturbation, approximation and even generalized differentiability were extensively investigated. Variational theory
Calibrating noise to sensitivity in private data analysis
 In Proceedings of the 3rd Theory of Cryptography Conference
, 2006
"... Abstract. We continue a line of research initiated in [10, 11] on privacypreserving statistical databases. Consider a trusted server that holds a database of sensitive information. Given a query function f mapping databases to reals, the socalled true answer is the result of applying f to the datab ..."
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Cited by 649 (60 self)
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to the database. To protect privacy, the true answer is perturbed by the addition of random noise generated according to a carefully chosen distribution, and this response, the true answer plus noise, is returned to the user. Previous work focused on the case of noisy sums, in which f =P i g(xi), where xi denotes
Spacetime block codes from orthogonal designs
 IEEE Trans. Inform. Theory
, 1999
"... Abstract — We introduce space–time block coding, a new paradigm for communication over Rayleigh fading channels using multiple transmit antennas. Data is encoded using a space–time block code and the encoded data is split into � streams which are simultaneously transmitted using � transmit antennas. ..."
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Cited by 1525 (42 self)
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. The received signal at each receive antenna is a linear superposition of the � transmitted signals perturbed by noise. Maximumlikelihood decoding is achieved in a simple way through decoupling of the signals transmitted from different antennas rather than joint detection. This uses the orthogonal structure
A multilinear singular value decomposition
 SIAM J. Matrix Anal. Appl
, 2000
"... Abstract. We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higherorder tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, firstorder perturbation effects, etc., are ..."
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Cited by 470 (22 self)
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Abstract. We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties of the matrix and the higherorder tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, firstorder perturbation effects, etc
TIMEDEPENDENT GENERALIZED PERTURBATION METHODSFOREURNUP ANALYSIS
"... Burnup analysis plays a fundamental role in the assessment of the parameters whlch enter directly into the burnup and decay equations, the knowledge of the correct values of which is directly connected with the ability of predicting the reactor life behaviour. In order then of performing an optima ..."
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to the various parameters, is straight4orwatd. In those cases, however, in which the number of variables and the complexity of the problem renders impractical the analytical evaluation of the derivatives, a method could be used, as shown in the present paper, expioiting the timedependeni generalized
Generalized Perturbation Theory Capability within SCALE DEVELOPMENT OF GENERALIZED PERTURBATION THEORY CAPABILITY WITHIN THE SCALE CODE PACKAGE
"... Computational capability has been developed to calculate sensitivity coefficients of generalized responses with respect to crosssection data in the SCALE code system. The focus of this paper is the implementation of generalized perturbation theory (GPT) for onedimensional and twodimensional deter ..."
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Computational capability has been developed to calculate sensitivity coefficients of generalized responses with respect to crosssection data in the SCALE code system. The focus of this paper is the implementation of generalized perturbation theory (GPT) for onedimensional and two
General Perturbations of Sparse Signals in Compressed Sensing
, 2010
"... HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
Results 1  10
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