Méthode pour la résolution des équations littérales du troisième et du quatrième degré.
On a Proof that every Aggregate can be well-ordered.
Propagation trajectorielle du chaos pour les lois de conservation scalaire
Diffusions with a nonlinear irregular drift coefficient and probabilistic interpretation of generalized burgers' equations
Diffusions with a nonlinear irregular drift coefficient and probabilistic interpretation of generalized Burgers' equations
We prove existence and uniqueness for two classes of martingale problems involving a nonlinear but bounded drift coefficient. In the first class, this coefficient depends on the time , the position and the marginal of the solution at time . In the second, it depends on , and , the density of the time marginal w.r.t. Lebesgue measure. As far as the dependence on and is concerned, no continuity assumption is made. The results, first proved for the identity diffusion matrix, are extended...
On the Multiplication of Alephs
On those Principles of Mechanics which depend upon Processes of Variation
The derivation of Equations in Generalised Coordinates from the Principle of Least Action and allied Principles
On the general theory of functions.
Propagation of chaos and fluctuations for a moderate model with smooth initial data
American prices embedded in european prices
Nodal solutions for scalar curvature type equations with perturbation terms on compact Riemannian manifolds
In this paper we study the nodal solutions for scalar curvature type equations with perturbation. The main results concern the existence of such solutions and the exact description of their zero set. From this we deduce, in particular cases, some multiplicity results.
Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process
We study a free energy computation procedure, introduced in [Darve and Pohorille, (2001) 9169–9183; Hénin and Chipot, (2004) 2904–2914], which relies on the long-time behavior of a nonlinear stochastic differential equation. This nonlinearity comes from a conditional expectation computed with respect to one coordinate of the solution. The long-time convergence of the solutions to this equation has been proved in [Lelièvre , (2008) 1155–1181],...
Diffusion Monte Carlo method: Numerical Analysis in a Simple Case
The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a fixed number of random walkers evolving according to a stochastic differential equation discretized in time. We allow stochastic reconfigurations of the walkers to reduce the discrepancy between the weights that they carry. On a simple one-dimensional example, we prove...
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