Cedric Bernardin

collaborators

2 papers

math.SP2026

Eigenvalues of one family of tridiagonal skew-self-adjoint Toeplitz matrices with complex perturbations on the corner

C. Bernardin, S. M. Grudsky, E. A. Maximenko +1

In this paper, we study the eigenvalues of the matrices $T_{n} (a) + I^^{3} E_{n, 1, 1}$ where $T_{n} (a)$ is the Toeplitz matrix with generating symbol $a (t) = t - t^{- 1}$ , $E_{n, 1, 1}$ is the $n\tim…

math.PR2025

Derivation of stochastic Burgers on the line with a Dirichlet boundary condition at the origin

We analyze the \emph{equilibrium fluctuations} of a Hamiltonian chain of oscillators on $\mathbb{Z}$ with an exponential potential, perturbed by a conservative, symmetric noise.…