there are dierent ways to code the geodesic flows on surfaces with negative curvature. such code spaces give a useful tool to verify the dynamical properties of geodesic flows. here we consider special subspaces of geodesic flows on hecke surface whose arithmetic codings varies on a set with innite alphabet. then we will compare the topological complexity of them by computing their topologica...

The nonlinear solvers in numerical solution of water flow in variably saturated soils are prone to convergence difficulties. Many aspects can give rise to such difficulties, like very dry initial conditions, a steep pressure gradient and great variation of hydraulic conductivity occur across the wetting front during the infiltration of water.  So, the averaging method applied to compute hydraul...

Abstract Arithmetic billiards show a nice interplay between arithmetics and geometry. The billiard table is rectangle with integer side lengths. A pointwise ball moves constant speed along segments making 45° angle the sides bounces on these. In classical setting, shooted from corner lands in corner. We allow to start at any point distances sides: either or trajectory periodic. length of path c...