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Now showing items 21-30 of 30

#### Hölder equivalence of complex analytic curve singularities

(2016-01-01)

Efficiently bounding large determinants is an essential step in non–relati- vistic fermionic constructive quantum field theory, because, together with the summability of the interaction and the covariance, it implies the ...

#### Some classes of homeomorphisms that preserve multiplicity and tangent cones

(Journal of Statistical Mechanics: Theory and Experiment, 2015-12-31)

Taking into account microscopic properties of most usual high-Tc superconductors, like cuprates, we define a class of microscopic model Hamiltonians for two fermions (electrons or holes) and one boson (bipolaron) on the ...

#### Neron models of intermediate Jacobians associated to moduli spaces

(Journal of Mathematical Physics, 2015-12-31)

We consider free lattice fermions subjected to a static bounded potential and a timeand space-dependent electric field. For any bounded convex region R âŠ‚ â„ (d (d â‰¥ 1) of space, electric fields Îµ within R drive currents. ...

#### Semialgebraic CMC surfaces in $\mathbb{R}^3$ with singularities

(Annales Henri Poincare, 2015-12-31)

From quantum mechanical first principles only, we rigorously study the time-evolution of a N-level atom (impurity) interacting with an external monochromatic light source within an infinite system of free electrons at ...

#### Macroscopic Dynamics of the Strong-Coupling BCS-Hubbard Model,

(Letters in Mathematical Physics, 2015-12-31)

We apply Lieb–Robinson bounds for multi-commutators we recently derived (Bru and de Siqueira Pedra, Lieb–Robinson bounds for multi-commutators and applications to response theory, 2015) to study the (possibly non-linear) ...

#### A proof of the integral identity conjecture, II

(Archive for Rational Mechanics and Analysis, 2015-12-31)

We extend (Bru et al. in J Math Phys 56:051901-1-51, 2015) in order to study the linear response of free fermions on the lattice within a (independently and identically distributed) random potential to a macroscopic electric ...

#### Némethi’s division algorithm for zeta-functions of plumbed 3-manifolds

(Mathematical Models and Methods in Applied Sciences, 2015-05-20)

We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interparticle interaction is short-range and ...

#### Mixed tête-à-tête twists as monodromies associated with holomorphic function germs

(Reviews in Mathematical Physics, 2014-12-31)

We conclude our analysis of the linear response of charge transport in lattice systems of free fermions subjected to a random potential by deriving general mathematical properties of its conductivity at the macroscopic ...

#### Multiplicity and degree as bi‐Lipschitz invariants for complex sets

(Communications on Pure and Applied Mathematics, 2014-07-21)

Electric resistance in conducting media is related to heat (or entropy) production in the presence of electric fields. In this paper, by using Araki's relative entropy for states, we mathematically define and analyze the ...

#### Non-cooperative Equilibria of Fermi Systems With Long Range Interactions

(Memoirs of the AMS, 2013-07)

We define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in ...