In the book, the basic results, related to the theoretical aspect of the GMM, are collected. Some of the GMM applications are described in a simpler form as illustrations. In future, a part of hem will be extended to real models. For example, a series of models have been already prepared, for forest fires, taking into consideration the strength and direction of wind, characteristics of terrain, speed of wood burning and speed of fire spread, as well as other factors. In these models, the grids are 3-dimensional spaces. These models provoked some new ideas for extension of the theoretical research and possibilities for new applications, that will be object of research in near future.