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We make use of recent results from random matrix theory to identify a derived threshold, for isolating noise from image features. The procedure assumes the existence of a set of noisy images, where denoising can be carried out on... more
We report on simulation results with overlap hypercube fermions (overlap HF) — a type of exactly chiral lattice fermions — and their link to chiral perturbation theory. We first sketch the construction of the overlap HF and discuss its... more
We present simulation results for lattice QCD with light pions. For the quark fields we apply chirally symmetric lattice Dirac operators, in particular the overlap hypercube operator, along with the standard overlap operator for... more
We discuss the eigenvalue distribution of the overlap Dirac operator in quenched QCD on lattices of size 8 4 , 10 4 and 12 4 at β = 5.85 and β = 6. We distinguish the topological sectors and study the distributions of the leading non-zero... more
Eigenvalue distribution of large random matrices / Leonid Pastur, Mariya Shcherbina. p. cm. -(Mathematical surveys and monographs ; v. 171) Includes bibliographical references and index.
We study the eigenvalue distribution of a random matrix, at a transition where a new connected component of the eigenvalue density support appears away from other connected components. Unlike previously studied critical points, which... more
We discuss the possibility of using multiple shift-invert Lanczos and contour integral based spectral projection method to compute a relatively large number of eigenvalues of a large sparse and symmetric matrix. The key to achieving high... more
We explore the effect of zeros at the central point on nearby zeros of elliptic curve L-functions, especially for one-parameter families of rank r over Q. By the Birch and Swinnerton Dyer Conjecture and Silverman's Specialization Theorem,... more
In this paper, we show how to address the asymptotic behavior of the mutual information of correlated MIMO Ricean channels when the number of transmit and receive antennas converge to +∞ at the same rate. Our approach is based on the... more
138 pages, based on lectures by Bertrand Eynard at IPhT, SaclayWe provide a self-contained introduction to random matrices. While some applications are mentioned, our main emphasis is on three different approaches to random matrix models:... more
Note that the joint probability density of the eigenvalues can be found in this way whenever the probability density of the matrices of the ensemble depends only on their unitary invariants.
This paper presents estimates of labor values and prices of production following two approaches: The first, based on the classical and Marxian theory of value and distribution; while, the second is based on the so-called new solution to... more
Capital theory and the associated with it price effects resulting from changes in the distributive variables hold centre stage when it comes to the internal consistency of both classical and neoclassical theories of value. The article... more
Bródy"s conjecture is submitted to an empirical test using input-output flow data of varying size for the US economy for the benchmark years 1997 and 2002, as well as for the period 1998-2010. The results suggest that the ratio of the... more
With mean or covariance channel feedback, the input covariance matrix can be designed to achieve the ergodic capacity of a MIMO fading channel. It is known that the eigenvectors of the optimal input covariance matrix are the same as the... more
This paper centers on the limit eigenvalue distribution for random Vandermonde matrices with unit magnitude complex entries. The phases of the entries are chosen independently and identically distributed from the interval [-π, π]. Various... more
Lamb waves have shown a great potential in structural health monitoring (SHM) of thin plates that are frequently used in engineering structures. Dense transducer networks or active ultrasonic arrays can be employed to generate and receive... more
In the information-theoretic literature, it has been widely shown that multicell processing is able to provide high capacity gains in the context of cellular systems and that the per-cell sum-rate capacity of multicell processing systems... more
A special type of modelling of interaction is investigated in the framework of two-way analysis of variance models for homologous factors. Factors are said to be homologous when their levels are in a meaningful one-to-one relationship,... more
For any arbitrary algebraic curve, we define an infinite sequence of invariants. We study their properties, in particular their variation under a variation of the curve, and their modular properties. We also study their limits when the... more
This paper studies high SNR approximations of the ergodic mutual information of block fading MIMO correlated Rician channels. The exact expression of the mutual information of such channels is quite complicated, and difficult to use to... more
Multiple-input multiple-output (MIMO) spatial multiplexing that needs to separate and detect transmitted signal streams by using processing at the receiver end can increase the data rates of transmissions on independent and identically... more
A leafwise Hodge decomposition was proved by Sanguiao for Riemannian foliations of bounded geometry. Its proof is explained again in terms of our study of bounded geometry for Riemannian foliations. It is used to associate smoothing... more
We generalize the Marinari-Parisi definition for pure two dimensional quantum gravity (k = 2) to all non unitary minimal multicritical points (k ≥ 3). The resulting interacting Fermi gas theory is treated in the collective field... more
In this paper, we study the large N behavior of the smallest eigenvalue N of the (N + 1) ⇥ (N + 1) Hankel matrix, Applying the arguments of Szegö, Widom and Wilf, we obtain the asymptotic representation of the orthonormal polynomials P N... more
A MIMO radar system is conveniently modeled via random matrices, and its optimal design strongly relies on spectral properties of the matrix exploited to build the model itself. We offer a way to model a High Resolution Radar (HRR)... more
We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is... more
In [La1], the second author has obtained a sharp error estimate for the eigenvalue distribution of the Laplacian on bounded open sets Ω ⊂ R n with fractal boundaries (i.e., 'fractal drums'). Further, he and Pomerance [LaPo1,2] studied in... more
In this paper, we study synchronization of complex random networks of nonlinear oscillators, with specifiable expected degree distribution. We review a sufficient condition for synchronization and a sufficient condition for... more
In this paper, we study synchronization of complex random networks of nonlinear oscillators, with specifiable expected degree distribution. We review a sufficient condition for synchronization and a sufficient condition for... more
Signal-to-interference ratio (SIR) experienced by users is the major quality and capacity indicator of CDMA systems. In this paper, we analyze the impact of diversity combining schemes-maximal-ratio combining (MRC) and equalgain combining... more
Using an abstract result on Riesz basis generation for discrete operators in general Hilbert spaces, we show, in this article, that the generalized eigenfunctions of an Euler-Bernoulli beam equation with joint linear feedback control form... more
A new class of state-space models, reservoir models, with a fixed state transition structure (the "reservoir") and an adaptable readout from the state space has recently emerged as a way for time series processing/modelling. Echo State... more
We present the first set of quenched QCD measurements using the recently parametrized fixed-point Dirac operator D FP. We also give a general and practical construction of covariant densities and conserved currents for chiral lattice... more
We show that the limiting minimal eigenvalue distributions for a natural generalization of Gaussian sample-covariance structures ("beta ensembles") are described by the spectrum of a random diffusion generator. This generator may be... more
We calculate the ratio η/s, the shear viscosity (η) to entropy density (s), which characterizes how perfect a fluid is, in weakly coupled real scalar field theories with different types of phase transitions. The resulting η/s behaviors... more
In this paper, we study the large N behavior of the smallest eigenvalue N of the (N + 1) ⇥ (N + 1) Hankel matrix, H N = (µ j+k) 0 j,kN , generated by the dependent Jacobi weight w(z,) = e z z ↵ (1 z) , z 2 [0, 1], 2 R, ↵ > 1, > 1.... more
The performance of multiple-input/multiple-output (MIMO) communications systems employing spatial multiplexing and zero-forcing detection (ZF) has yet to be analyzed for several cases of practically-relevant Rician fading. For the special... more
New theoretical and empirical evidence reveals that the actual input–output table economies of single production, which are usually studied in the value–capital theory literature, are almost similar to non-diagonalizable, triangular and... more
Ramsey Theory and the geometry of Banach spaces One of the most illuminating imports in Banach Space Theory is the field of Ramsey Theory. The mini-course will be devoted in the interaction between the two fields and will be concentrated... more
In this paper, we propose a local multilevel preconditioner for the mortar finite element approximations of the elliptic problems. With some mesh assumptions on the interface, we prove that the condition number of the preconditioned... more
In presence of line-of-sight (LOS) propagation, multiple-input multiple-output (MIMO) systems can achieve maximum capacity over the whole signal-to-noise ratio (SNR) region by deploying reconfigurable antenna arrays. In this paper, the... more
PSQA is a technology developed by the author during a period of several years, whose aim is quantifying the Quality of Experience (more precisely, the Perceived Quality) of an application or service built on the Internet around the... more
This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ 3. This result is then applied to the closed-form characterization of the bivariate Nakagami-m... more
A new method is proposed to determine precoding matrices that achieve local maxima of the expected sum rate in a multiple input multiple output interference channel (MIMO IC), in the realistic scenario where only partial channel state... more