• 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 ...

• Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments 

  Falcini F.; Garra R.; Voller V. (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 

  Bru J.B.; de Siqueira Pedra W.; Delgado de Pasquale A. (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 

  Aza N.J.B.; Bru J.B.; de Siqueira Pedra W.; Ratsimanetrimanana A. (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 

  Aza N.J.B.; Bru J.B.; de Siqueira Pedra W. (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 

  Ponta L.; Trinh M.; Raberto M.; Scalas E.; Cincotti S. (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 ...

• 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. (Fractional Calculus and Applied Analysis, 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 ...

• The Discreteness-driven Relaxation of Collisionless Gravitating Systems: Entropy Evolution in External Potentials, N-dependence, and the Role of Chaos 

  Beraldo e Silva L.; de Siqueira Pedra W.; Valluri M.; Sodré L.; Bru J.-B. (The Astrophysical Journal, 2019-01-10)

  We investigate the old problem of the fast relaxation of collisionless N-body systems that are collapsing or perturbed, emphasizing the importance of (noncollisional) discreteness effects. We integrate orbit ensembles in ...

• A jacobian module for disentanglements and applications to Mond's conjecture 

  Fernández de Bobadilla J.; Nuño Ballesteros J. J.; Peñafort Sanchis G. (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 $\mathscr A_e$-$\operatorname{codim}(f)\le \dim_\mathbb C M(g)$, ...

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