Seminar “Nonpotential dynamical systems and neural network technologies”
On 21 December at 19:00 p.m. (Moscow time)
A scientific seminar “Nonpotential dynamical systems and neural network technologies” will be held at RUDN University.
Topic: “Invariant with respect to motion on Hilbert space and their applications to differential equations for functions of an infinite-dimensional argument”.
Speaker: Vladimir Busovikov, assistante professor of MFTI.
A finite additive measure will be constructed on a separable Hilbert space, invariant with respect to a shift to any vector. Invariance will allow us to construct smoothed functions differentiable along any coordinate direction, embedded in quadratically integrable functions, as well as tightly defined Laplace operator and Hamiltonian of an infinite-dimensional quantum oscillator. By analogy with the finite-dimensional case (Yu.N.Orlov, V.Zh.Sakbaev, D.V.Zavadsky), an approximation of the evolution of a quantum oscillator will be proved by averaging random shifts in the coordinate and pulse representations.