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Now showing items 1-10 of 15

#### Perverse sheaves on semi-abelian varieties -- a survey of properties and applications

(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 ...

#### Examples of varieties with index one on C1 fields

(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.

#### On Lipschitz rigidity of complex analytic sets

(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 ...

#### On the merits of sparse surrogates for global sensitivity analysis of multi-scale nonlinear problems: Application to turbulence and fire-spotting model in wildland fire simulators

(Communications in Nonlinear Science and Numerical Simulation, 2019-02)

Many nonlinear phenomena, whose numerical simulation is not straightforward, depend on a set of parameters in a way which is not easy to predict beforehand. Wildland fires in presence of strong winds fall into this category, ...

#### Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles

(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

(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 ...

#### Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries

(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 ...

#### A Lê-Greuel type formula for the image Milnor number

(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 ...

#### 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 ...

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

(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 ...