Now showing items 40-59 of 126

• #### Heat production of noninteracting fermions subjected to electric fields ﻿

(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 ...
• #### Homogeneous singularity and the Alexander polynomial of a projective plane curve ﻿

(2017-12-10)
The Alexander polynomial of a plane curve is an important invariant in global theories on curves. However, it seems that this invariant and even a much stronger one the fundamental group of the complement of a plane curve ...
• #### Hölder equivalence of complex analytic curve singularities ﻿

(Bulletin of the London Mathematical Society, 2018-08-06)
We prove that if two germs of irreducible complex analytic curves at $0\in\mathbb{C}^2$ have different sequence of characteristic exponents, then there exists $0<\alpha<1$ such that those germs are not $\alpha$-H\"older ...
• #### A hypothesis about parallelism vs. seriality in dreams ﻿

(Front. Psychol., 2019-10-10)
The current article discusses the hypothesis about parallelism vs. Seriality in dreams. The process of dream building implies the construction of a complex network of closely interrelated sources. On the other hand, the ...
• #### Intersection cohomology with torus actions of complexity one and intersection space complexes ﻿

(2018-06-18)
• #### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors ﻿

(2017-05-03)
The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...
• #### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors ﻿

(Ann. Phys. (Berl.), 2018-12-10)
The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...
• #### A Jacobian module for disentanglements and applications to Mond's conjecture ﻿

(2017-01-10)
[TBA]
• #### A jacobian module for disentanglements and applications to Mond's conjecture ﻿

(Revista Matemática Complutense, 2019)
Let $f:(\mathbb C^n,S)\to (\mathbb C^{n+1},0)$ be a germ whose image is given by $g=0$. We define an $\mathcal O_{n+1}$-module $M(g)$ with the property that $\mathscr A_e$-$\operatorname{codim}(f)\le \dim_\mathbb C M(g)$, ...
• #### Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction ﻿

(Journal des Mathematiques Pures et Appliquees, 2016-01-01)
We study the time evolution of a system of $N$ spinless fermions in $\mathbb{R}^3$ which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation ...
• #### Langevin equation in complex media and anomalous diffusion ﻿

(Journal of the Royal Society Interface, 2018-07-30)
The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modelling approaches for the description of anomalous diffusion in biological systems, such ...
• #### A Lê-Greuel type formula for the image Milnor number ﻿

(Hokkaido Mathematical Journal, 2019-02)
• #### Macroscopic conductivity of free fermions in disordered media ﻿

(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 ...
• #### Measure-valued weak solutions to some kinetic equations with singular kernels for quantum particles ﻿

(2018-12-19)
In this thesis, we present a mathematical study of three problems arising in the kinetic theory of quantum gases. In the first part, we consider a Boltzmann equation that is used to describe the time evolution of the ...
• #### Microscopic conductivity of lattice fermions at equilibrium. I. Non-interacting particles ﻿

(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. ...
• #### Microscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particles ﻿

(Letters in Mathematical Physics, 2016-01-01)
We apply Liebâ€“Robinson bounds for multi-commutators we recently derived (Bru and de Siqueira Pedra, Liebâ€“Robinson bounds for multi-commutators and applications to response theory, 2015) to study the (possibly non-linear) ...
• #### Microscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particles ﻿

(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) ...
• #### Mixed tête-à-tête twists as monodromies associated with holomorphic function germs ﻿

(2018-04-01)
Tête-à-tête graphs were introduced by N. A’Campo in 2010 with the goal of modeling the monodromy of isolated plane curves. Mixed tête-à-tête graphs provide a generalization which define mixed tête-à-tête twists, which ...