3 papers
math.AP2025
The Evolution of Pointwise Statistics in Hyperbolic Equations with Random Data
Alina Chertock, Pierre Degond, Amir Sagiv +1
We consider one-dimensional hyperbolic PDEs, linear and nonlinear, with random initial data. Our focus is the {\em pointwise statistics,} i.e., the probability measure of the solut…
math.SP2025
Dispersive Decay Estimates for periodic Jacobi operators on the half-line
Amir Sagiv, Remy Kassem, Michael I Weinstein
We establish dispersive time-decay estimates for periodic Jacobi operators on the discrete half-line, . Specifically, we prove decay in the weighted $\ell^\infty_{-1…
math.AP2025
On the Time-decay of solutions arising from periodically forced Dirac Hamiltonians
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
There is increased interest in time-dependent (non-autonomous) Hamiltonians, stemming in part from the active field of Floquet quantum materials. Despite this, dispersive time-deca…