5 citations · 5 across the 12 of their papers we have counts for
13 papers
Dimensions of harmonic measures on non-autonomous Cantor sets
Athanasios Batakis, Guillaume Havard
We consider Non Autonomous Conformal Iterative Function Systems (NACIFS) and their limit set. Our main concern is harmonic measure and its dimensions : Hausdorff and Packing. We pr…
A new Model of City Growth and its Application to a middle sized French City
Athanasios Batakis, Thi-Thuy-Nga Nguyen, Michel Zinsmeister
In the first part of this paper we propose a new theoretical model of city growth based on percolation. The second half oh the paper is devoted to a concrete application of the mod…
Power of the Crowd
Athanasios Batakis, Pierre Debs, Dorian Le Peutrec
Consider an Galton Watson tree of height : each leaf has one of opinions or not. In other words, for , at generation thinks with probabil…
Simulation of the impregnation in the porous media by the Self- organized Gradient Percolation method
Anh Khoa Nguyen, Eric Blond, Thomas Sayet +3
Many processes can correspond to reactive impregnation in porous solids. These processes are usually numerically computed by classical methods like finite element method, finite vo…
Numerical Simulation Of Impregnation In Porous Media By Self-organized Gradient Percolation Method
Anh Khoa Nguyen, Eric Blond, Thomas Sayet +3
The aim of this work is to develop a new numerical method to overcome the computational difficulties of numerical simulation of unsaturated impregnation in porous media. The numeri…
Hausdorff and harmonic measures on non-homogeneous Cantor sets
Athanasios Batakis, Anna Zdunik
We consider (not self-similar) Cantor sets defined by a sequence of piecewise linear functions. We prove that the dimension of the harmonic measure on such a set is strictly smalle…