4 papers
Beyond the Gap: What Imaginary-Time Evolution Reveals About the Edge of the Continuum
Ruben Karapetyan, Denys Bondar, Jakub Mareček +1
The spectral gap, the energy separating the ground state from the first excitation, governs many quantum phenomena, yet it is far harder to compute than the ground state. We propos…
Recovering Lower-Dimensional Semialgebraic Support of a Measure from its Moments
Ruben Karapetyan, Shenyuan Ma, Ales Wodecki +1
Recovering probability measures from their moments has numerous applications, esp. in connection with the method of moments in statistics and optimization. In the setting where mea…
Continuum limit of discretized matrix-valued Fourier multipliers
Ruben Karapetyan, Matěj Tušek
Building upon a recent result by H. Cornean, H. Garde, and A. Jensen concerning continuum limits of discrete Dirac operators, we extend the analysis to a wide class of block operat…
On Moment-Based Recovery of Measures with Atomic and Continuous Parts
Ruben Karapetyan, Shenyuan Ma, Aleš Wodecki +1
Recovering probability measures from moments is a central theme in statistics and optimization. In particular, we focus on the recovery of measures from moments and pseudo-moments,…