66 citations · 66 across the 6 of their papers we have counts for
7 papers
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…
Dispersive decay bounds for the SSH model on the half-line
Remy Kassem, Amir Sagiv, Michael I. Weinstein
We study the Schrödinger flow for the SSH model, a class of self-adjoint discrete dimer lattice Hamiltonians on the half-line. Using oscillatory integral techniques, we prove dispe…
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…
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…
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…
Collective processes in relativistic plasma and their implications for gamma-ray burst afterglows
Amir Sagiv, Eli Waxman
We consider the effects of collective plasma processes on synchrotron emission from highly relativistic electrons. We find, in agreement with Sazonov (1970), that strong effects ar…