A remark on the comparison of Mackey and Segal models
A remark on the conditioning in limit theorems for dependent random vector in
A remark on the equivalence of Gaussian processes.
A remark on the norm of a random walk on surface groups
We show that the norm of the random walk operator on the Cayley graph of the surface group in the standard presentation is bounded by 1/√g where g is the genus of the surface.
A remark on the paper “Une martingale d'opérateurs bornés, non représentable en intégrale stochastique”, by J.L. Journé and P.A. Meyer
A remark on the r-th mean differentiability.
A Remark on the Strong Law of Large Numbers.
A remark on the weighted averages for superadditive processes.
A remark on Tsirelson's stochastic differential equation
A remark on Vapnik-Chervonienkis classes
We show that the family of all lines in the plane which is a VC class of index 2 cannot be obtained in a finite number of steps starting with VC classes of index 1 and applying the operations of intersection and union. This confirms a common belief among specialists and solves a question asked by several authors.
A remarkable -finite measure unifying supremum penalisations for a stable Lévy process
The -finite measure which unifies supremum penalisations for a stable Lévy process is introduced. Silverstein’s coinvariant and coharmonic functions for Lévy processes and Chaumont’s -transform processes with respect to these functions are utilized for the construction of .
A remarkably interesting, simple P.D.E.
In this note, I will summarize and make a couple of small additions to some results which I obtained earlier with David Williams in [1]. Williams and I hope to expand and refine these additions in a future paper based on work that is still in process.
A Renewal Approach to the Perron-Frobenius Theory of Non-negative Kernels on General State Spaces.
A renewal theorem for stationary populations
A renormalized local time for multiple intersections of planar brownian motion
A representation for non-colliding random walks.
A representation formula for large deviations rate functionals of invariant measures on the one dimensional torus
We consider a generic diffusion on the 1D torus and give a simple representation formula for the large deviation rate functional of its invariant probability measure, in the limit of vanishing noise. Previously, this rate functional had been characterized by M. I. Freidlin and A. D. Wentzell as solution of a rather complex optimization problem. We discuss this last problem in full generality and show that it leads to our formula. We express the rate functional by means of a geometric transformation...
A representation of infinitely divisible signed random measures.
A representation of the characteristic functions of stable distributions in Hilbert spaces
A representation result for time-space brownian chaos