Jacob Shapiro

activity

20182026

most citedIncomplete Localization for Disordered Chiral Strips

1 citations · 1 across the 7 of their papers we have counts for

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math-ph2018

The Topology of Mobility-Gapped Insulators

Jacob Shapiro

Studying deterministic operators, we define an appropriate topology on the space of mobility-gapped insulators such that topological invariants are continuous maps into discrete sp…

math-ph2018

Strongly Disordered Floquet Topological Systems

Jacob Shapiro, Clément Tauber

We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum…

math.AP2018

Semiclassical resolvent bound for compactly supported $L^{\infty}$ potentials

Jacob Shapiro

We give an elementary proof of a weighted resolvent estimate for semiclassical Schrödinger operators in dimension $n \geq 1$ . We require the potential belong to $L^\infty(\mathbb{R}…

The Topology of Mobility-Gapped Insulators

Strongly Disordered Floquet Topological Systems

Semiclassical resolvent bound for compactly supported L∞ potentials

Semiclassical resolvent bound for compactly supported $L^{\infty}$ potentials