As is explained in Remark 2.3, the key step in establishing assumption (A6) is to obtain a type of large deviations property. The following Azuma–Hoeffding type inequality provides what is needed in the V-uniformly ergodic case.

Consider a parametrized family of general hidden Markov models, where both the observed and unobserved components take values in a complete separable…

We revisit the classical dual ascent algorithm for minimization of convex functionals in the presence of linear constraints, and give convergence res…

The Peaceman--Rachford scheme is a commonly used splitting method for discretizing semilinear evolution equations, where the vector fields are given …

The number of triangulations of a planar n point set is known to be $c^n$, where the base $c$ lies between $2.43$ and $30.$ The fastest known algorit…

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we presen…

This paper considers the problem of recovering either a low rank matrix or a sparse vector from observations of linear combinations of the vector or …

We develop a parametric high-resolution method for the estimation of the frequency nodes of linear combinations of complex exponentials with exponent…

We complete the analysis of the band functions for two-dimensional magnetic Schr\"odinger operators with piecewise constant magnetic fields. The disc…

The problem of approximating a sampled function using sums of a fixed number of complex exponentials is considered. We use alternating projections be…

In compressed sensing a sparse vector is approximately retrieved from an under-determined equation system $Ax=b$. Exact retrieval would mean solving …

We study the zero set of random analytic functions generated by a sum of the cardinal sine functions that form an orthogonal basis for the Paley-Wien…

Many standard optimization methods for segmentation and reconstruction compute ML model estimates for appearance or geometry of segments, e.g. Zhu-Yu…

Multivariate versions of the Kronecker theorem in the continuous multivariate setting has recently been published. These theorems characterize the sy…

\AA. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet condition, the equality in the Courant nodal theorem (Courant sharp s…

We study the class of state-space models and perform maximum likelihood estimation for the model parameters. We consider a stochastic approximation e…

In this paper we show that the signal apparition method for encoding multiple sources excited during seismic acquisition results in optimally large r…

{\AA} Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the equality in the Courant nodal theorem (Courant s…

We consider the perturbation of an electric potential due to an insulating inclusion with corners. This perturbation is known to admit a multipole ex…

A maximum likelihood methodology for a general class of models is presented, using an approximate Bayesian computation (ABC) approach. The typical ta…

We study the adjoint of the double layer potential associated with the Laplacian (the adjoint of the Neumann-Poincar\'e operator), as a map on the bo…

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