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A General Polynomial Selection Method and New Asymptotic Complexities for the Tower Number Field Sieve Algorithm
Discrete Log Tower Number Field Sieve
2016/5/24
In a recent work, Kim and Barbulescu had extended the tower number field sieve algorithm to obtain improved asymptotic complexities in the medium prime case for the discrete logarithm problem on Fpn w...
On the Asymptotic Complexity of Solving LWE
LWE security Bounded Distance Decoding Lattices
2016/1/27
We provide for the first time an asymptotic comparison of all known
algorithms for the search version of the Learning with Errors (LWE) problem.
This includes an analysis of several lattice-based ap...
We investigate the asymptotic relationship between quantum cloning and quantum estimation from the global point of view where all the copies produced by the cloner are considered jointly.For an N-to-M...
We pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at the single-clone level, still holds when all clones are examined globally. We con...
On the Asymptotic Idealness of the Asmuth-Bloom Threshold Secret Sharing Scheme
secret sharing entropy idealness
2016/1/5
A necessary and sufficient condition for the asymptotic idealness of the AsmuthBloom
threshold secret sharing scheme is proposed. Apart from this, a comprehensive analysis
of the known variants of t...
Asymptotic formula for the condensate wave function of a trapped Bose gas
Asymptotic formula condensate wave function trapped Bose gas
2015/10/16
An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas...
Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
Asymptotic analysis Vlasov-Fokker-Planck Compressible Navier-Stokes system of equations
2015/10/15
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
On the asymptotic distribution of the Moran I test statistic withapplications
Moran I test Spatial autocorrelation Asymptotic distribution Central limit theorem
2015/9/24
By far, the most popular test for spatial correlation is the one based on Moran’s (1950) I test statistic. Despite this, the available results in the literature concerning the large sample distributio...
On spatial processes and asymptotic inference under near-epoch dependence
Random fields Near-epoch dependent processes Central limit theorem Law of large numbers GMM estimator
2015/9/24
The development of a general inferential theory for nonlinear models with cross-sectionally or spatially dependent data has been hampered by a lack of appropriate limit theorems. To facilitate a gener...
Asymptotic Distribution of MisspeciÖed Random E§ects Estimator for a Dynamic Panel Model with Fixed E§ects When Both n and T are Large
panel model random e§ects
2015/9/22
We consider a dynamic panel AR(1) model with Öxed e§ects when both n and T are large. It is shown
that the MLE motivated by the random e§ects assumption is asymptotically unbiased even when the
...
We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms of certain filling functions which are defined recursively on dim...
We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
Asymptotic Analysis of Subcritical Hopf-Homoclinic Bifurcation
Hopf-Homoclinic Bifurcation Asymptotic
2015/8/25
termined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit
of the Hopf equilibrium. Our work is motivated by our previous analysis of a
Hodgkin-Huxley neuron model which p...
AN ASYMPTOTIC ERROR BOUND FOR TESTING MULTIPLE QUANTUM HYPOTHESES
ASYMPTOTIC ERROR BOUND TESTING MULTIPLE QUANTUM HYPOTHESES
2015/8/25
We consider the problem of detecting the true quantum state among r possible ones, based of measurements performed on n copies of a finitedimensional quantum system. A special case is the problem of d...
Asymptotic Equivalence of Spectral Density Estimation and Gaussian White Noise
Stationary Gaussian process spectral density Sobolev classes Le Cam distance asymptotic equivalence Whittle likelihood log-periodogram regression nonparametric Gaussian scale model signal in Gaussian white noise
2015/8/25
We consider the statistical experiment given by a sample y(1), . . . , y(n) of a stationary Gaussian process with an unknown smooth spectral density f. Asymptotic equivalence, in the sense of Le Cam’s...