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15 papers · 1 filter
Some New Problems in Spectral Optimization
Giuseppe Buttazzo, Bozhidar Velichkov
We present some new problems in spectral optimization. The first one consists in determining the best domain for the Dirichlet energy (or for the first eigenvalue) of the {\it metr…
Line defects in the 3d Ising model
M. Billó, M. Caselle, D. Gaiotto +3
We investigate the properties of the twist line defect in the critical 3d Ising model using Monte Carlo simulations. In this model the twist line defect is the boundary of a surfac…
Lorentz completion of effective string action
Marco Meineri
In the presence of a confining flux tube between a pair of sources the vacuum is no longer Poincare' invariant. This symmetry is nonlinearly realized in the effective string action…
Electrostatic tailoring of magnetic interference in quantum point contact ballistic Josephson junctions
M. Amado, A. Fornieri, F. Carillo +4
The magneto-electrostatic tailoring of the supercurrent in quantum point contact ballistic Josephson junctions is demonstrated. An etched InAs-based heterostructure is laterally co…
Global estimates for nonlinear parabolic equations
Paolo Baroni, Agnese Di Castro, Giampiero Palatucci
We consider nonlinear parabolic equations of the type under standard growth conditions on , with only assumed to…
Zero noise limits using local times
Dario Trevisan
We consider a well-known family of SDEs with irregular drifts and the correspondent zero noise limits. Using (mollified) local times, we show which trajectories are selected. The a…