1. Introduction : Stochastic differential equations. 1.1. Weak and strong solutions to stochastic differential equations. 1.2. Stochastic differential equations in the infinite-dimensional setting. 1.3. Martingales. 1.4. Operator-valued Brownian motion and the Heston volatility …
This volume provides a systematic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions.
The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employ…
This book presents an expansion of the highly successful lectures given by Professor Ladyzhenskaya at the University of Rome, 'La Sapienza', under the auspices of the Accademia dei Lencei. The lectures were devoted to questions of the behaviour of trajectories for semi-groups of…
