Now showing items 21-40 of 126

• #### Fractional kinetics emerging from ergodicity breaking in random media ﻿

(Physical Review E, 2016)
We present a modelling approach for diffusion in a complex medium characterized by a random lengthscale. The resulting stochastic process shows subdiffusion with a behavior in qualitative agreement with single particle ...
• #### Turbulence and fire-spotting effects into wild-land fire simulators ﻿

(Communications in Nonlinear Science and Numerical Simulation, 2016-01-01)
This paper presents a mathematical approach to model the effects and the role of phenomena with random nature such as turbulence and fire-spotting into the existing wildfire simulators. The formulation proposes that the ...
• #### 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) ...
• #### Equisingularity in One-Parameter Families of Generically Reduced Curves ﻿

(International Mathematics Research Notices, 2016-01-01)
We explore some equisingularity criteria in one-parameter families of generically reduced curves. We prove the equivalence between Whitney regularity and Zariski’s discriminant criterion. We prove that topological triviality ...
• #### Diagonalizing quadratic bosonic operators by non-autonomous flow equations volker bach ﻿

(Memoirs of the American Mathematical Society, 2016-01-01)
We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. We specify assumptions that ensure the global existence of its solutions and allow us to derive its asymptotics ...
• #### Modelling and simulation of wildland fire in the framework of the level set method ﻿

(Ricerche di Matematica, 2016-01-01)
Among the modelling approaches that have been proposed for the simulation of wildfire propagation, two have gained considerable attention in recent years: the one based on a reaction-diffusion equation, and the one based ...
• #### Lieb–Robinson Bounds for Multi–Commutators and Applications to Response Theory ﻿

(2016-01-01)
We generalize to multi–commutators the usual Lieb–Robinson bounds for commutators. In the spirit of constructive QFT, this is done so as to allow the use of combinatorics of minimally connected graphs (tree expan- sions) ...
• #### Universal Bounds for Large Determinants from Non–Commutative Ho ̈lder Inequalities in Fermionic Constructive Quantum Field Theory ﻿

(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 ...
• #### 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 ...
• #### Geometric inequalities from phase space translations ﻿

(2016-07-22)
We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher information inequality for a state which results ...
• #### The challenge of brain complexity: A brief discussion about a fractal intermittency-based approach ﻿

(PhyCS 2016 - Proceedings of the 3rd International Conference on Physiological Computing Systems, 2016-10-30)
In the last years, the complexity paradigm is gaining momentum in many research fields where large multidimensional datasets are made available by the advancements in instrumental technology. A complex system is a ...
• #### A Short Survey on the Integral Identity Conjectureand Theories of Motivic Integration ﻿

(Acta Mathematica Vietnamica, 2016-12-16)
In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ...
• #### Logarithmic connections on principal bundles over a Riemann surface ﻿

(arxiv, 2017)