Stochastic processes; Markov processes; Brownian motion; The stochastic integral; Stochastic differential equations; The Cameron-Martin-Girsanov theorem; Asymptotic estimates for solutions; Recurrent and translent solutions; Auxiliary results in partial differential equations; N…
Stochastic integral with respect to processes; The ito formula; Stochastic integral equations; Martingales and semimartingales; Stochastic measures; Special features of infinite-dimensional stochastic integration.
Elements of stochastic processes; Markov chains; The basic limit theorem of markov chains and applications; Classical examples of continuous time markov chains; Renewal processes; Martingales; Brownian motion; Branching processes; Stationary processes.
Markov chains; Stationary distributions of a markov chain; Markov pure jump processes; Second order processes; Continuity, integration, and differentiation of second order processes; Stochastic differential equations, estimation theory, and spectral distribution.
Systems with queues and service of type one; Some boundary problems for processes continuous from below with independent increments. Their connection with the distribution of w(t); Boundary problems for sequences with independent increments and factorization identities; Properti…