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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’...
We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system...
Asymptotic Error Rates in Quantum Hypothesis Testing     Asymptotic Error Rates  Quantum Hypothesis Testing       font style='font-size:12px;'> 2015/8/25
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic expone...
We introduce the groupoidal analogue e to Joyal’s cellular category  and we prove that e is a strict test category in the sense of Grothendieck.
A finite set X  n with a weight function w : X 0    is called Euclidean t-design in n  (supported by p concentric spheres) if the following condition ho...
The Future of Social Experimenting      Future  Social Experimenting        font style='font-size:12px;'> 2010/12/28
Recent lab experiments by Traulsen et al. [1] for the spatial pris-oner’s dilemma suggest that exploratory behavior of human subjects prevents cooperation through neighborhood interactions over exper-...
Completeness of the Bethe ansatz on Weyl alcoves      Bethe ansatz  root systems  spectral analysis  reflection groups       font style='font-size:12px;'> 2010/12/10
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...
New bounds on the maximum ionization of atoms      maximum ionization  Pauli operator  magnetic field  relativistic atoms       font style='font-size:12px;'> 2010/12/6
We prove that the maximum number Nc of non-relativistic electrons that a nucleus of charge Z can bind is less than 1.22Z + 3Z1/3. This improves Lieb’s upper bound Nc < 2Z + 1 [Phys. Rev. A 29, 3018-30...
Many models of secure multiparty computation supply each participant with a private random oracle [Yao82,Sha79,GMW87,Csi08]. If one participant does not have access to a private random oracle, perhaps...
A result of Mason, as refined by Ingleton, characterizes transversal matroids as the matroids that satisfy a set of inequalities that relate the ranks of intersections and unions of nonempty sets of c...
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
We present new M-estimators of the mean and variance of real valued random variables, based on PAC-Bayes bounds. We analyze the non-asymptotic minimax properties of the deviations of those estimators ...
In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements,and specifically analyze the interaction between FRI techniques and the underlying...
Functional Bethe ansatz methods for the open XXX chain      Functional Bethe ansatz methods  open XXX chain        font style='font-size:12px;'> 2010/12/15
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional eq...
For a simply connected solvable Lie group G with a cocompact discrete subgroup 􀀀, we consider the space of differential forms on the solvmanifold G/􀀀with values in certain flat bundl...

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