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math.HO2025
On the geometric aspects of architectural compositions
Aren A. Nahapetyan, Linda A. Khachatryan
Different aspects of application of non-Euclidian geometries in architectural compositions are considered. These aspects are illustrated by examples of Armenian (medieval and conte…
math.PR2025
Transition energy fields in the method of correlation equations
Linda A. Khachatryan, Boris S. Nahapetian
In this paper, the well-known method of correlation equations for constructing Gibbs measures is generalized based on the concept of the transition energy field. Using the properti…