output
20002018
most citedAsymptotic expansion and central limit theorem for quadratic variations of Gaussian processes

28 citations

6 papers

math.DG2018★ 11 cited

Convenient Partial Poisson Manifolds

F. Pelletier, P. Cabau

We introduce the concept of partial Poisson structure on a manifold modelled on a convenient space. This is done by specifying a (weak) subbundle of a…

math.PR2007★ 28 cited

Asymptotic expansion and central limit theorem for quadratic variations of Gaussian processes

Arnaud Begyn

Cohen, Guyon, Perrin and Pontier have given assumptions under which the second-order quadratic variations of a Gaussian process converge almost surely to a deterministic limit. In…

quant-ph2002★ 8 cited

Schrodinger cat animated on a quantum computer

A. D. Chepelianskii, D. L. Shepelyansky

We present a quantum algorithm which allows to simulate chaos-assisted tunneling in deep semiclassical regime on existing quantum computers. This opens new possibilities for invest…

cond-mat2001★ 11 cited

Dynamical turbulent flow on the Galton board with friction and magnetic field

A. D. Chepelianskii, D. L. Shepelyansky

We study numerically and analytically the dynamics of charged particles on the Galton board, a regular lattice of disc scatters, in the presence of constant external force, magneti…

cond-mat2001★ 11 cited

Dynamical turbulent flow on the Galton board with friction

A. D. Chepelianskii, D. L. Shepelyansky

We study numerically and analytically the dynamics of particles on the Galton board, a regular lattice of disc scatters, in the presence of a constant external force and friction.…

cond-mat2000★ 9 cited

A repulsive trap for two electrons in a magnetic field

A. L. Chepelianskii, D. L. Shepelyansky

We study numerically and analytically the dynamics of two classical electrons with Coulomb interaction in a two dimensional antidot superlattice potential in the presence of crosse…