Quadratic BSDEs with random terminal time and elliptic PDEs in infinite dimension.
Quantitative results for perturbed stochastic differential equations.
Quantum random walk revisited
In the framework of the symmetric Fock space over L²(ℝ₊), the details of the approximation of the four fundamental quantum stochastic increments by the four appropriate spin-matrices are studied. Then this result is used to prove the strong convergence of a quantum random walk as a map from an initial algebra 𝓐 into 𝓐 ⊗ ℬ (Fock(L²(ℝ₊))) to a *-homomorphic quantum stochastic flow.
Quantum stochastic differential equations driven by free noises and dilations of markovian semigroups
Quasi-diffusion solution of a stochastic differential equation
We consider the stochastic differential equation , where , , are nonrandom continuous functions of t, X₀ is an initial random variable, is a Gaussian process and X₀, Y are independent. We give the form of the solution () to (0.1) and then basing on the results of Plucińska [Teor. Veroyatnost. i Primenen. 25 (1980)] we prove that () is a quasi-diffusion proces.
Quasistable gradient and Hamiltonian systems with a pairwise interaction randomly perturbed by Wiener processes.
Quasi-stationary distributions and the continuous-state branching process conditioned to be never extinct.
Quelques formules asymptotiques pour les petites perturbations de systèmes dynamiques
Quelques méthodes de résolution de problèmes de dynamique stochastique non linéaire
Quelques remarques sur un nouveau type d'équations différentielles stochastiques