A sufficient condition for the Carasso-Kato theorem (Erratum).
A superprocess involving both branching and coalescing
A super-stable motion with infinite mean branching
A survey of limit laws for bootstrapped sums.
A survey of random processes with reinforcement.
A survey of results on random random walks on finite groups.
A survey of the literature associated with the bisexual Galton-Watson branching process.
A survey on continuous elliptical vector distributions.
In this paper it is taken up a revision and characterization of the class of absolutely continuous elliptical distributions upon a parameterization based on the density function. Their properties (probabilistic characteristics, affine transformations, marginal and conditional distributions and regression) are shown in a practical and easy to interpret way. Two examples are fully undertaken: the multivariate double exponential distribution and the multivariate uniform distribution.
A survey on the general central limit problem in Banach spaces
A symbolic calculus and a parametrix construction for pseudodifferential operators with non-smooth negative definite symbols.
A symmetric entropy bound on the non-reconstruction regime of Markov chains on galton-watson trees.
A system of functional-differential equations associated with the optimal detection problem for jump-times of a Poisson process.
A system of random nonlinear variational inclusions involving random fuzzy mappings and -monotone set-valued mappings.
A tail bound for sums of independent random variables and application to the Pareto distribution.
A tail inequality for suprema of unbounded empirical processes with applications to Markov chains.
A Tauberian theorem for increasing functions of dominated variation.
A teacher's note on no-arbitrage criteria
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
In this paper, we propose a method for the approximation of the solution of high-dimensional weakly coercive problems formulated in tensor spaces using low-rank approximation formats. The method can be seen as a perturbation of a minimal residual method with a measure of the residual corresponding to the error in a specified solution norm. The residual norm can be designed such that the resulting low-rank approximations are optimal with respect to particular norms of interest, thus allowing to take...
A Theorem on Convergence to a Lévy Process.
A theorem on weak type estimates for Riesz transforms and martingale transforms
The Riesz transforms of a positive singular measure satisfy the weak type inequalitywhere denotes Lebesgue measure and is a positive constant only depending on .