Paul Langevin

پل کلودل Paul Claudel

Albert Benveniste , Paul Caspi , Paul

In this paper, we present a theory of synchronous data-ow languages. Our theory is supported by both some heuristic analysis of applications and some theoretical investigation of the data-ow paradigm. Our model covers both behavioural and operational aspects, and allows both synchronous and asynchronous styles of implementation for synchronous programs. This model served as a basis to establish...

The Langevin Limit of the Nosé-Hoover-Langevin Thermostat

In this note we study the asymptotic limit of large variance in a stochastically perturbed thermostat model, the Nosé-Hoover-Langevin device. We show that in this limit, the model reduces to a Langevin equation with one-dimensional Wiener process, and that the perturbation is in the direction of the conjugate momentum vector. Numerical experiments with a double well potential corroborate the as...

Dynamics of Langevin Simulations

This chapter reviews numerical simulations of quantum field theories based on stochastic quantization and the Langevin equation. The topics discussed include renormalization of finite stepsize algorithms, Fourier acceleration, and the relation of the Langevin equation to hybrid stochastic algorithms and hybrid Monte Carlo. Invited chapter to appear in the special supplement “Stochastic Quantiza...

Mirrored Langevin Dynamics

We generalize the Langevin Dynamics through the mirror descent framework for first-order sampling. The näıve approach of incorporating Brownian motion into the mirror descent dynamics, which we refer to as Symmetric Mirrored Langevin Dynamics (S-MLD), is shown to connected to the theory of Weighted Hessian Manifolds. The S-MLD, unfortunately, contains the hard instance of Cox–Ingersoll–Ross pro...