Pereguda Y. Local deformations of quadratic Tits forms

The thesis is devoted to the study of deformations of the quadratic Tits form of ?nite graphs and partially ordered sets and applying the received results in a more general situation. In the thesis there are introduced the concept of local deformations of quadratic forms over the ?eld of real numbers and P-limit numbers for any variable of a positive de?nite quadratic form. The main results of the ?rst part of the thesis are general formulas for the calculation of P-limit numbers and the complete description of P-limit numbers for the quadratic Tits forms of graphs and partially ordered sets.