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4 papers · 1 filter
Efficient determination of critical parameters of nonlinear Schrödinger equation with point-like potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung, Emmanuel Lorin
We consider the nonlinear Schrödinger equation with a point-like source term. The soliton interaction with such a singular potential yields a critical solution behavior. That is, f…
Efficient determination of the critical parameters and the statistical quantities for Klein-Gordon and sine-Gordon equations with a singular potential using generalized polynomial chaos methods
Debananda Chakraborty, Jae-Hun Jung
We consider the Klein-Gordon and sine-Gordon type equations with a point-like potential, which describes the wave phenomenon in disordered media with a defect. The singular potenti…
Toward Parts-Based Scene Understanding with Pixel-Support Parts-Sparse Pictorial Structures
Jason J. Corso
Scene understanding remains a significant challenge in the computer vision community. The visual psychophysics literature has demonstrated the importance of interdependence among p…
Homoclinic groups, IE groups, and expansive algebraic actions
Nhan-Phu Chung, Hanfeng Li
We give algebraic characterizations for expansiveness of algebraic actions of countable groups. The notion of p-expansiveness is introduced for algebraic actions, and we show that…