The growth of snow crystals is dependent on the temperature and saturation of the environment. In the case of dendrites, Reiter's local two-dimensional model provides a realistic approach to the study of dendrite growth. In this paper we obtain a new geometric rule that incorporates interface control, a basic mechanism of crystallization that is not taken… (More)
We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group C * associated to a compact connected Riemann surface.
Snowflake growth is an example of crystallization, a basic phase transition in physics. Studying snowflake growth helps gain fundamental understanding of this basic process and may help produce better crystalline materials and benefit several major industries. The basic theoretical physical mechanisms governing the growth of snowflake are not well… (More)