16 citations · 49 across the 15 of their papers we have counts for
15 papers
Nonlinear Thermodynamic Formalism: Mean-field Phase Transitions, Large Deviations and Bogoliubov's Variational Principle
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur O. Lopes
Let , be the shift acting on , the set of -invariant probabilities. Given a Hölder potential and a continuous funct…
Minimum-entropy constraints on galactic potentials
Leandro Beraldo e Silva, Monica Valluri, Eugene Vasiliev +3
A tracer sample in a gravitational potential, starting from a generic initial condition, phase-mixes towards a stationary state. This evolution is accompanied by an entropy increas…
Scattering and Pairing by Exchange Interactions
J. -B. Bru, W. de Siqueira Pedra, A. Ramer dos Santos
Quantum interactions exchanging different types of particles play a pivotal rôle in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspec…
From Short-Range to Mean-Field Models in Quantum Lattices
J. -B. Bru, W. de Siqueira Pedra, K. Rodrigues Alves
Realistic effective interparticle interactions of quantum many-body systems are widely seen as being short-range. However, the rigorous mathematical analysis of this type of model…
Threshold effects of the two-particle Schrödinger operators on lattices
Saidakhmat N. Lakaev, Volker Bach, W. de Siqueira Pedra
We consider a wide class of the two-particle Schrödinger operators with a fixed two-particle quasi-momentum in the -dimensional torus $\mathbb{…
Non-cooperative Equilibria of Fermi Systems With Long Range Interactions
J. -B. Bru, W. de Siqueira Pedra
We define a Banach space of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibri…