Probabilistic Methods in Applied Mathematics, Volumes 1-3

a₁ a₁(w a₂ Applying axioms b₁ Boolean sub o-algebra Borel function Borel measurable Borel sets bounded observables classical coefficients consider constant continuous convergence coordinate Corollary corresponding defined denote determined dynamic exists feedback control finite follows G₁ Gaussian hence hidden variables Hilbert space independent integral Itô's equation joint distribution lattice Lemma linear logic Markov Math Mathematical matrix measurable function momentum noise number of real number of roots one-parameter group optimal control P₁ physical postulates probability measure probability theory problem Proof propositions quantum mechanics random algebraic equation random algebraic polynomial random matrices random polynomial random variables real roots real-valued random variables roots of random satisfies condition Section self-adjoint operators sequence solution stochastic differential equation subset subspaces suppose t₁ t₂ Theorem tj+1 U₁ unique unitary v₁ vector Wiener process Wonham x₁ zero