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55,591
Good ErrorCorrecting Codes based on Very Sparse Matrices
, 1999
"... We study two families of errorcorrecting codes defined in terms of very sparse matrices. "MN" (MacKayNeal) codes are recently invented, and "Gallager codes" were first investigated in 1962, but appear to have been largely forgotten, in spite of their excellent properties. The ..."
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Cited by 754 (23 self)
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but also for any channel with symmetric stationary ergodic noise. We give experimental results for binarysymmetric channels and Gaussian channels demonstrating that practical performance substantially better than that of standard convolutional and concatenated codes can be achieved; indeed
Exact Sampling with Coupled Markov Chains and Applications to Statistical Mechanics
, 1996
"... For many applications it is useful to sample from a finite set of objects in accordance with some particular distribution. One approach is to run an ergodic (i.e., irreducible aperiodic) Markov chain whose stationary distribution is the desired distribution on this set; after the Markov chain has ..."
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Cited by 542 (13 self)
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For many applications it is useful to sample from a finite set of objects in accordance with some particular distribution. One approach is to run an ergodic (i.e., irreducible aperiodic) Markov chain whose stationary distribution is the desired distribution on this set; after the Markov chain
New results in linear filtering and prediction theory
 TRANS. ASME, SER. D, J. BASIC ENG
, 1961
"... A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary sta ..."
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Cited by 605 (0 self)
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A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary
WEAK KAM THEORY TOPICS IN THE STATIONARY ERGODIC SETTING
, 2009
"... We perform a qualitative analysis of the critical equation associated with a stationary ergodic Hamiltonian through a stochastic version of the metric method, where the notion of closed random stationary set, issued from stochastic geometry, plays a major role. Our purpose is to give an appropriat ..."
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Cited by 7 (3 self)
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We perform a qualitative analysis of the critical equation associated with a stationary ergodic Hamiltonian through a stochastic version of the metric method, where the notion of closed random stationary set, issued from stochastic geometry, plays a major role. Our purpose is to give
The ergodic hierarchy, randomness and Hamiltonian chaos $
, 2006
"... Various processes are often classified as both deterministic and random or chaotic. The main difficulty in analysing the randomness of such processes is the apparent tension between the notions of randomness and determinism: what type of randomness could exist in a deterministic process? Ergodic the ..."
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Various processes are often classified as both deterministic and random or chaotic. The main difficulty in analysing the randomness of such processes is the apparent tension between the notions of randomness and determinism: what type of randomness could exist in a deterministic process? Ergodic
A Stochastic Model of TCP/IP with Stationary Random Losses
 ACM SIGCOMM
, 2000
"... In this paper, we present a model for TCP/IP congestion control mechanism. The rate at which data is transmitted increases linearly in time until a packet loss is detected. At this point, the transmission rate is divided by a constant factor. Losses are generated by some exogenous random process whi ..."
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Cited by 209 (42 self)
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which is assumed to be stationary ergodic. This allows us to account for any correlation and any distribution of interloss times. We obtain an explicit expression for the throughput of a TCP connection and bounds on the throughput when there is a limit on the window size. In addition, we study
Ergodicity In Hamiltonian Systems
, 1992
"... We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with (nonuniform) hyperbolic behavior. ..."
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Cited by 35 (4 self)
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We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with (nonuniform) hyperbolic behavior.
Ergodicity in infinite Hamiltonian systems with conservative noise
, 1996
"... this paper we will consider only the nonGaussian case, yet some results concerning the Gaussian case will be derived (Lemma 2.5, 2.6) in order to ..."
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Cited by 6 (1 self)
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this paper we will consider only the nonGaussian case, yet some results concerning the Gaussian case will be derived (Lemma 2.5, 2.6) in order to
Random Hamiltonians . . .
, 1990
"... Let V ^ l) and V ^ be two ergodic random potentials on KA We consider the Schrόdinger operator H ω = H 0 + V ω, with H o = —A and for x = (x 1,...,x d) if x t <0 if x^O ' We prove certain ergodic properties of the spectrum for this model, and express the integrated density of states in terms ..."
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Let V ^ l) and V ^ be two ergodic random potentials on KA We consider the Schrόdinger operator H ω = H 0 + V ω, with H o = —A and for x = (x 1,...,x d) if x t <0 if x^O ' We prove certain ergodic properties of the spectrum for this model, and express the integrated density of states
Results 1  10
of
55,591