22 citations · 52 across the 14 of their papers we have counts for
17 papers
What can be the limit in the CLT for a field of martingale differences?
Davide Giraudo, Emmanuel Lesigne, Dalibor Volny
The now classical convergence in distribution theorem for well normalized sums ofstationary martingale increments has been extended to multi-indexed martingaleincrements (see Volný…
Generation of measures on the torus with good sequences of integers
E. Lesigne, A. Quas, J. Rosenblatt +1
Let be a strictly increasing sequence of positive integers and denote . We say is good if for every real the limit $\…
Harmonic functions on multiplicative graphs and inverse Pitman transform on infinite random paths
Cédric Lecouvey, Emmanuel Lesigne, Marc Peigné
We introduce and characterize central probability distributions on Littelmann paths. Next we establish a law of large numbers and a central limit theorem for the generalized Pitman…
A Random Field Model and its Application in Industrial Production
Julie Oger, Emmanuel Lesigne, Philippe Leduc
In competitive industries, a reliable yield forecasting is a prime factor to accurately determine the production costs and therefore ensure profitability. Indeed, quantifying the r…
Random differences in Szemerédi's theorem and related results
Nikos Frantzikinakis, Emmanuel Lesigne, Máté Wierdl
We introduce a new, elementary method for studying random differences in arithmetic progressions and convergence phenomena along random sequences of integers. We apply our method t…
Conditioned random walks from Kac-Moody root systems
Cédric Lecouvey, Emmanuel Lesigne, Marc Peigné
Random paths are time continuous interpolations of random walks. By using Littelmann path model, we associate to each irreducible highest weight module of a Kac Moody algebra g a r…