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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 ...
Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors
Bru, J.-B.
; de Siqueira Pedra, W.; Delgado de Pasquale, A. (2018-12-10)
; de Siqueira Pedra, W.; Delgado de Pasquale, A. (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 ...
RandomFront 2.3 A physical parametrisation of fire-spotting for operational fire spread models: Implementation in WRF-Sfire and response analysis with LSFire+
Trucchia, A.; Egorova, V.; Butenko, A.; Kaur, I.; Pagnini, G. (2018-12)
(2018-12)
Fire-spotting is often responsible for a dangerous flare up in the wildfire and causes secondary ignitions isolated from
the primary fire zone leading to perilous situations. The main aim of the present research to provide ...
Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments
(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. ...
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion
D’Ovidio, M.; Vitali, S.; Sposini, V.; Sliusarenko, O.; Paradisi, P.; Castellani, G.; Pagnini, G. (2018-10-25)
; Sposini, V.; Sliusarenko, O.; Paradisi, P.; Castellani, G.; Pagnini, G. (2018-10-25)
We consider an ensemble of Ornstein–Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the ensemble. We show that the centre-of-mass ...
Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
Molina-Garcia, D.; Sandev, T.; Safdari, H.; Pagnini, G.; Chechkin, A.V.; Metzler, R. (2018-10-18)
; Chechkin, A.V.; Metzler, R. (2018-10-18)
The emerging diffusive dynamics in many complex systems shows a
characteristic crossover behaviour from anomalous to normal diffusion which
is otherwise fitted by two independent power-laws. A prominent example for
a ...
On the geometry of strongly flat semigroups and their generalizations
László, T.; Némethi, A. (2018-09-18)
(2018-09-18)
Our goal is to convince the readers that the theory of complex normal surface singularities can be a powerful tool in the study of numerical semigroups, and, in the same time, a very rich source of interesting affine and ...
Multiplicity and degree as bi‐Lipschitz invariants for complex sets
Fernandes, A.; Fernández de Bobadilla, J.; Sampaio, J.E. (2018-08-29)
; Sampaio, J.E. (2018-08-29)
We study invariance of multiplicity of complex analytic germs and degree of complex affine sets under outer bi-Lipschitz
transformations (outer bi-Lipschitz homeomorphims of germs in the first case and outer bi-Lipschitz ...
Némethi’s division algorithm for zeta-functions of plumbed 3-manifolds
(2018-08-27)
A polynomial counterpart of the Seiberg-Witten invariant associated with a negative definite
plumbing 3-manifold has been proposed by earlier work of the authors. It is provided by a
special decomposition of the zeta-function ...
Some classes of homeomorphisms that preserve multiplicity and tangent cones
(2018-08-19)
In this paper it is presented some classes of homeomorphisms that preserve multiplicity and tangent cones of complex analytic sets. Moreover, we present a class of homeomorphisms that has the multiplicity as an invariant ...