66 citations · 66 across the 6 of their papers we have counts for
4 papers · 1 filter
Dispersive Estimates for Dirac Operators with General Domain Walls: One and Two Dimensions
M. Burak Erdogan, Joseph Kraisler, Amir Sagiv
We establish dispersive decay estimates for two-dimensional Dirac equations with bounded and unbounded domain walls, together with estimates for the analogous one-dimensional probl…
Slow dispersion in Floquet-Dirac Hamiltonians
Anthony Bloch, Amir Sagiv, Stefan Steinerberger
We study dispersive decay for non-autonomous Hamiltonian systems. While the general theory for dispersion in such non-autonomous systems is largely open, it was shown \cite{kraisle…
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…
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…