8 citations · 11 across the 4 of their papers we have counts for
5 papers
Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces
Antonios D. Melas, Eleftherios N. Nikolidakis, Dimitrios Cheliotis
We provide some new estimates for Bellman type functions for the dyadic maximal opeator on and of maximal operators on martingales related to weighted spaces. Using a type of…
Localization of favorite points for diffusion in random environment
Dimitrios Cheliotis
For a diffusion X_t in a one-dimensional Wiener medium W, it is known that there is a certain process b_x(W) that depends only on the environment W, so that X_t-b_{logt}(W) converg…
One dimensional diffusion in an asymmetric random environment
Dimitrios Cheliotis
According to a theorem of S. Schumacher, for a diffusion X in an environment determined by a stable process that belongs to an appropriate class and has index a, it holds that X_t/…
A note on recurrent random walks
Dimitrios Cheliotis
For any recurrent random walk (S_n)_{n>0} on R, there are increasing sequences (g_n)_{n>0} converging to infinity for which (g_n S_n)_{n>0} has at least one finite accumulation poi…
Diffusion in random environment and the renewal theorem
Dimitrios Cheliotis
According to a theorem of S. Schumacher and T. Brox, for a diffusion in a Brownian environment it holds that in probability, as , w…