88 citations · 797 across the 54 of their papers we have counts for
56 papers
The Robust Ten Martini Problem
Lingrui Ge, Svetlana Jitomirskaya, Jiangong You
We solve the robust ten martini problem: Cantor spectrum with no arithmetic restriction on the irrational frequency for Type I analytic one-frequency quasiperiodic Schrodinger oper…
Capacity and measure approximations for Schrödinger operators
Burak Hatinoğlu, Svetlana Jitomirskaya
We prove that logarithmic capacity convergence for phase-union spectra of quasi-periodic Schrödinger operators in the zero Lyapunov exponent regime is robust, requiring only contin…
Lower bounds on concentration through Borel transforms and quantitative singularity of spectral measures near the arithmetic transition
Svetlana Jitomirskaya, Wencai Liu, Serguei Tcheremchantsev
We develop tools to study arithmetically induced singular continuous spectrum in the neighborhood of the arithmetic transition in the hyperbolic regime. This leads to first transit…
Sharp palindromic criterion for semi-uniform dynamical localization
Svetlana Jitomirskaya, Wencai Liu, Lufang Mi
We develop a sharp palindromic argument for general 1D operators, that proves absence of semi-uniform localization in the regime of exponential symmetry-based resonances. This prov…
Sharp arithmetic delocalization for quasiperiodic operators with potentials of semi-bounded variation
Svetlana Jitomirskaya, Ilya Kachkovskiy
We obtain the sharp arithmetic Gordon's theorem: that is, absence of eigenvalues on the set of energies with Lyapunov exponent bounded by the exponential rate of approximation of f…
Intrinsic Symplectic Structure and Sharp Arithmetic Universality
Lingrui Ge, Svetlana Jitomirskaya
We show that formal eigenvalue equations of analytic one-frequency Schröd-inger operators admit intrinsic analytic $Sp(2k,\C)$ structures, where is the T-acceleration in g…