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Now showing items 1-10 of 113

#### 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 ...

#### 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 ...

#### 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 ...