Recent Submissions

  • Moderately Discontinuous Algebraic Topology for Metric Subanalytic Germs 

    Heinze S. (2019-10-31)
    We have developed both a homology theory and a homotopy theory in the context of metric subanalytic germs (see Definition 2.1). The former is called MD homology and is covered in Chapter 2, which contains a paper that is ...
  • Gaussian processes in complex media: new vistas on anomalous diffusion 

    Di Tullio F.; Paradisi P.; Spigler R.; Pagnini G. (Front. Phys., 2019-09)
    Normal or Brownian diffusion is historically identified by the linear growth in time of the variance and by a Gaussian shape of the displacement distribution. Processes departing from the at least one of the above conditions ...
  • Equilibrium and Transport Properties of Quantum Many-Body Systems 

    Ratsimanetrimanana A. (2019-10-30)
    This thesis is a study of equilibrium and dynamical properties of macroscopic quantum many-body problems. An important part of the manuscript concerns the study of heat and charge transport properties of fermions on the ...
  • Front Propagation in Random Media 

    Trucchia A. (2019)
    This PhD thesis deals with the problem of the propagation of fronts under random circumstances. A statistical model to represent the motion of fronts when are evolving in a media characterized by microscopical randomness ...
  • Stochastic processes for anomalous diffusion 

    Molina García D. (2019)
    Anomalous diffusion is a diffusion process which Mean Square Displacement (MSD) is not a linear funtion of time, what is known as normal diffusion. When the relation is faster than linear, it is called superdiffusion and ...
  • Single-trajectory spectral analysis of scaled Brownian motion 

    Sposini V.; Metzler R.; Oshanin G. (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 

    Sliusarenko O.; Sliusarenko Y. (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. 

    Salusti E.; Kanivetsky R.; Droghei R.; Garra R. (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 

    Nuño-Ballesteros J.J.; Pallarés Torres I. (Hokkaido Mathematical Journal, 2019-02)
    Let $f\colon (\mathbb{C}^n,0)\to (\mathbb{C}^{n+1},0)$ be a corank 1 finitely determined map germ. For a generic linear form $p\colon (\mathbb{C}^{n+1},0)\to(\mathbb{C},0)$ we denote by $g\colon (\mathbb{C}^{n-1},0)\to ...
  • Examples of varieties with index one on C1 fields 

    Dan A.; Kaur I. (Journal of Number Theory, 2019-04-16)
    Let K be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field k. In this article we give a sufficient criterion for a projective variety over such a field to have index 1.
  • Restoring property of the Michelson-Sivashinsky equation 

    Trucchia A.; Pagnini G. (Combustion Science and Technology, 2019)
    In this paper we propose a derivation of the Michelson-Sivashinsky (MS) equation that is based on front propagation only, in opposition to the classical derivation based also on the flow field. Hence, the characteristics ...
  • Perverse sheaves on semi-abelian varieties -- a survey of properties and applications 

    Liu Y.; Maxim L.; Wang B. (European Journal of Mathematics, 2019-05)
    We survey recent developments in the study of perverse sheaves on semi-abelian varieties. As concrete applications, we discuss various restrictions on the homotopy type of complex algebraic manifolds (expressed in terms ...
  • On Lipschitz rigidity of complex analytic sets 

    Fernandes A.; Sampaio J. E. (The Journal of Geometric Analysis, 2019-02-26)
    We prove that any complex analytic set in $\mathbb{C}^n$ which is Lipschitz normally embedded at infinity and has tangent cone at infinity that is a linear subspace of $\mathbb{C}^n$ must be an affine linear subspace of ...
  • Stochastic spatial models in ecology: a statistical physics approach 

    Pigolotti S.; Cencini M.; Molina-Garcia D.; Muñoz M.A. (Journal of Statistical Physics, 2017-11-21)
    Ecosystems display a complex spatial organization. Ecologists have long tried to characterize them by looking at how different measures of biodiversity change across spatial scales. Ecological neutral theory has provided ...
  • Fractional kinetics in random/complex media 

    Pagnini G. (Handbook of Fractional Calculus with Applications Volume 5 Applications in Physics, Part B, 2019)
    In this chapter, we consider a randomly-scaled Gaussian process and discuss a number of applications to model fractional diffusion. Actually, this approach can be understood as a Gaussian diffusion in a medium characterized ...
  • Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries 

    Guggenberger T.; Pagnini G.; Vojta T.; Metzler R. (New Journal of Physics, 2019-02)
    Fractional Brownian motion (FBM) is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study numerically FBM confined to a finite ...
  • Surrogate-based uncertainty and sensitivity analysis for bacterial invasion in multi-species biofilm modeling 

    Trucchia A.; Mattei M.R.; Luongo V.; Frunzo L.; Rochoux M.C. (Communications Nonlinear Sciences and Numerical Simulation, 2019)
    In this work, we present a probabilistic analysis of a detailed one-dimensional biofilm model that explicitly accounts for planktonic bacterial invasion in a multi-species biofilm. The objective is (1) to quantify and ...
  • Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles 

    Sliusarenko O.; Vitali S.; Sposini V.; Paradisi P.; Chechkin A.; Castellani G.; Pagnini G. (Journal of Physics A: Mathematical and Theoretical, 2019-02-01)
    Complex systems are known to display anomalous diffusion, whose signature is a space/time scaling $x \sim t^\delta$ with $\delta \neq 1/2$ in the probability density function (PDF). Anomalous diffusion can emerge jointly ...
  • Fire-spotting generated fires. Part I: The role of atmospheric stability 

    Egorova V.; Trucchia A.; Pagnini G. (Applied Mathematical Modelling, 2019-02)
    This is the first part of two papers concerning fire-spotting generated fires. In this part we deal with the impact of macroscale factors, such as the atmospheric stability, and in the second part we deal with mesoscale ...
  • Non-cooperative Equilibria of Fermi Systems With Long Range Interactions 

    Bru J.-B.; de Siqueira Pedra W. (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 ...

View more