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16 papers · 1 filter
Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover
Adriaan M. J. Schakel
The effective action describing the gapless Nambu-Goldstone, or Anderson-Bogoliubov, mode of a zero-temperature dilute Fermi gas at unitarity is derived up to next-to-leading order…
High frequency dispersive estimates for the Schrodinger equation in high dimensions
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove optimal dispersive estimates at high frequency for the Schrodinger group with real-valued potentials , , and , , where…
On the Capacity of Constrained Systems
Georg Böcherer, Valdemar Cardoso da Rocha Junior, Cecilio Pimentel
In the first chapter of Shannon's "A Mathematical Theory of Communication," it is shown that the maximum entropy rate of an input process of a constrained system is limited by the…
Elimination and nonlinear equations of Rees algebra
Laurent Busé, Marc Chardin, Aron Simis
A new approach is established to computing the image of a rational map, whereby the use of approximation complexes is complemented with a detailed analysis of the torsion of the sy…
Boundary stabilization of transmission problems
Fernando Cardoso, Georgi Vodev
We study the transmission problem in bounded domains with dissipative boundary conditions. Under some natural assumptions, we prove uniform bounds of the corresponding resolvents o…
Discontinuous nonequilibrium phase transitions in a nonlinearly pulse-coupled excitable lattice model
Vladimir R. V. Assis, Mauro Copelli
We study a modified version of the stochastic susceptible-infected-refractory-susceptible (SIRS) model by employing a nonlinear (exponential) reinforcement in the contagion rate an…