@misc{Frigio_S._Asymptotics, author={Frigio, S. and S. K. Poghosyan}, address={Երևան}, howpublished={online}, publisher={Հայաստանի ԳԱԱ}, abstract={The paper studies the asymptotics of the Brownian integrals with paths restricted to a bounded domain of R, when the domain is dilated to infinity. The framework is that of the Bose-Einstein statistics with paths observed within random time intervals which are integer multiplies of some fixed β > 0. The three first terms of the asymptotics are found explicitly via the functional integrals. In the case of a gas of interacting Brownian loops an expression for the volume term of the asymptotics of the log-partition function is found and the correction term is proved to by order be the boundary area of the domain.}, title={Asymptotics of Brownian integrals and pressure. Bose-Einstein statistics}, type={Հոդված}, keywords={Science, Mathematics}, }