Results 11  20
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Invariants and exponential rate of convergence to steady state in the renewal equation
 in &quot;Markov Processes and Related Fields (MPRF
"... Abstract We consider the renewal equation (also called McKendrickVonFoerster) equation that arises as a simple model for structured population dynamics. We use an entropy approach to prove the exponential convergence in long time to the steady state, after renormalization by a damping factor to com ..."
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Cited by 4 (0 self)
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Abstract We consider the renewal equation (also called McKendrickVonFoerster) equation that arises as a simple model for structured population dynamics. We use an entropy approach to prove the exponential convergence in long time to the steady state, after renormalization by a damping factor
Stability of the Tail Markov Chain and the Evaluation of Improper Priors for an Exponential Rate Parameter
"... Let Z be a continuous random variable with a lower semicontinuous density f that is positive on (0; 1) and 0 elsewhere. Put G(x) = f(z) dz. We study the tail Markov chain generated by Z de ned as the Markov chain = (n ) n=0 with state space [0; 1) and Markov transition density k(yjx) = f(y + ..."
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Cited by 3 (3 self)
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Let Z be a continuous random variable with a lower semicontinuous density f that is positive on (0; 1) and 0 elsewhere. Put G(x) = f(z) dz. We study the tail Markov chain generated by Z de ned as the Markov chain = (n ) n=0 with state space [0; 1) and Markov transition density k(yjx) = f(y + x)=G(x). This chain is irreducible, aperiodic and reversible with respect to G. It follows that is positive recurrent if and only if Z has a nite expectation. We prove (under regularity conditions) that if EZ = 1, then is null recurrent if and only if dz = 1. Furthermore, we describe an interesting decision theoretic application of this result. Speci cally, suppose that X is an Exp() random variable; that is, X has density e for x > 0. Let be an improper prior density for that is positive on (0; 1). Assume that () d < 1, which implies that the posterior density induced by is proper. Let m denote the marginal density of X induced by ; i.e., m (x) = e () d.
Exponential rate of Lp convergence of intrinsic martingales in supercritical branching random walks
, 2009
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Hitting the Memory Wall: Implications of the Obvious
 Computer Architecture News
, 1995
"... This brief note points out something obvious something the authors "knew" without really understanding. With apologies to those who did understand, we offer it to those others who, like us, missed the point. We all know that the rate of improvement in microprocessor speed exceeds the ra ..."
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Cited by 393 (1 self)
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the rate of improvement in DRAM memory speed each is improving exponentially, but the exponent for microprocessors is substantially larger than that for DRAMs. The difference between diverging exponentials also grows exponentially; so, although the disparity between processor and memory speed is already
Response of a Coupled Ocean–Atmosphere Model to Increasing Atmospheric Carbon Dioxide: Sensitivity to the Rate of Increase
 JOURNAL OF CLIMATE
, 1999
"... The influence of differing rates of increase of the atmospheric CO 2 concentration on the climatic response is investigated using a coupled ocean–atmosphere model. Five transient integrations are performed each using a different constant exponential rate of CO 2 increase ranging from 4 % yr �1 to 0. ..."
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Cited by 334 (21 self)
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The influence of differing rates of increase of the atmospheric CO 2 concentration on the climatic response is investigated using a coupled ocean–atmosphere model. Five transient integrations are performed each using a different constant exponential rate of CO 2 increase ranging from 4 % yr �1 to 0
Linear multiuser detectors for synchronous codedivision multipleaccess channels
 IEEE TRANS. INFORM. THEORY
, 1989
"... In codedivision multipleaccess systems, simultaneous multiuser accessing of a common channel is made possible by assigning a signature waveform to each user. Knowledge of these waveforms enables the receiver to demodulate the data streams of each user, upon observation of the sum of the transmitt ..."
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Cited by 385 (4 self)
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of the transmitted signals, perturbed by additive noise. Under the assumptions of symbolsynchronous transmissions and white Gaussian noise, we analyze the detection mechanism at the receiver, comparing different detectors by their bit error rate in the low background noise region, and by their worstcase behavior
Criticality of the Exponential Rate of Decay for the Largest Nearest Neighbor Link in Random Geometric Graphs
, 2009
"... Let n points be placed independently in d−dimensional space according to the density f(x) = Ade−λ‖x‖α, λ> 0, x ∈ ℜd, d ≥ 2. Let dn be the longest edge length of the nearest neighbor graph on these points. We show that (λ−1 log n) 1−1/αdn −bn converges weakly to the Gumbel distribution where bn ∼ ..."
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Cited by 1 (0 self)
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∼ (d−1) λα log log n. We also prove the following strong law result for the normalized nearest neighbor distance ˜ dn: = (λ−1 log n) 1−1/α dn log log n d − 1 αλ ≤ lim inf n→∞ ˜dn ≤ lim sup n→∞ ˜dn ≤ d αλ, almost surely. Thus, the exponential rate of decay α = 1 is critical, in the sense that for α
THE SHARP CORNER FORMATION IN 2D EULER DYNAMICS OF PATCHES: INFINITE DOUBLE EXPONENTIAL RATE OF MERGING
"... Abstract. For the 2d Euler dynamics of patches, we investigate the convergence to the singular stationary solution in the presence of a regular strain. It is proved that the rate of merging can be double exponential infinitely in time and the estimates we obtain are sharp. 1. Introduction and statem ..."
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Cited by 7 (1 self)
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Abstract. For the 2d Euler dynamics of patches, we investigate the convergence to the singular stationary solution in the presence of a regular strain. It is proved that the rate of merging can be double exponential infinitely in time and the estimates we obtain are sharp. 1. Introduction
Exponential rate of almost sure convergence of intrinsic martingales in supercritical branching random walks
 J. Appl. Prob
, 2010
"... We provide sufficient conditions which ensure that the intrinsic martingale in the supercritical branching random walk converges exponentially fast to its limit. The case of GaltonWatson processes is particularly included so that our results can be seen as a generalization of a result given in t ..."
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Cited by 1 (1 self)
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We provide sufficient conditions which ensure that the intrinsic martingale in the supercritical branching random walk converges exponentially fast to its limit. The case of GaltonWatson processes is particularly included so that our results can be seen as a generalization of a result given
pathChirp: Efficient Available Bandwidth Estimation for Network Paths
 In Passive and Active Measurement Workshop
, 2003
"... This paper presents pathChirp, a new active probing tool for estimating the available bandwidth on a communication network path. Based on the concept of "selfinduced congestion," pathChirp features an exponential flight pattern of probes we call a chirp. Packet chips offer several signifi ..."
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Cited by 317 (4 self)
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This paper presents pathChirp, a new active probing tool for estimating the available bandwidth on a communication network path. Based on the concept of "selfinduced congestion," pathChirp features an exponential flight pattern of probes we call a chirp. Packet chips offer several
Results 11  20
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7,739