Now showing items 1-20 of 110

• #### Single-trajectory spectral analysis of scaled Brownian motion ﻿

(New Journal of Physics, 2019-06)
A standard approach to study time-dependent stochastic processes is the power spectral density (PSD), an ensemble-averaged property defined as the Fourier transform of the autocorrelation function of the process in the ...
• #### Reduced description method in the kinetic theory of Brownian motion with active fluctuations ﻿

(Journal of Physics A: Mathematical and Theoretical, 2019-09-01)
We develop a microscopic approach to the kinetic theory of many-particle systems with dissipative and potential interactions in presence of active fluctuations. The approach is based on a generalization of Bogolyubov–Peletminskii ...
• #### On the propagation of nonlinear transients of temperature and pore pressure in a thin porous boundary layer between two rocks. ﻿

(Journal of Hydrology, 2019)
The dynamics of transients of fluid-rock temperature, pore pressure, pollutants in porous rocks are of vivid interest for fundamental problems in hydrological, volcanic, hydrocarbon systems, deep oil drilling. This can ...
• #### A Lê-Greuel type formula for the image Milnor number ﻿

(Hokkaido Mathematical Journal, 2019-02)
• #### Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments ﻿

(International Journal of Thermal Sciences, 2018-11)
In the Fourier heat conduction equation, when the flux definition is expressed as the product of a constant diffusivity and the temperature gradient, the characteristic length scale evolves as the square root of time. ...
• #### 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 ...
• #### Accuracy of Classical Conductivity Theory at Atomic Scales for Free Fermions in Disordered Media ﻿

(J. Math. Pures Appl., 2019-01-22)
The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum effects should dominate. In 2012, experimental ...
• #### Decay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Lattices ﻿

(Commun. Math. Phys., 2018-01-24)
We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time ...
• #### Modeling non-stationarities in high-frequency financial time series ﻿

(Physica A: Statistical Mechanics and its Applications, 2019-01)
We study tick-by-tick financial returns for the FTSE MIB index of the Italian Stock Exchange (Borsa Italiana). We confirm previously detected non-stationarities. Scaling properties reported before for other high-frequency ...