3 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 where is the Toeplitz matrix with generating symbol , is the $n\time…
math.PR2025
Derivation of stochastic Burgers on the line with a Dirichlet boundary condition at the origin
Cédric Bernardin, Ana Djurdjevac, Patricia Gonçalves +1
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.…
math-ph2018
A microscopic model for a one parameter class of fractional laplacians with dirichlet boundary conditions
Cedric Bernardin, Patricia Gonçalves, Byron Oviedo
We prove the hydrodynamic limit for the symmetric exclusion process with long jumps given by a mean zero probability transition rate with infinite variance and in contact with infi…