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Now showing items 11-20 of 129

#### Topological invariants of plane curve singularities: Polar quotients and Lojasiewicz gradient exponents

(International Journal of Mathematics, 2019-10-21)

In this paper, we study polar quotients and Łojasiewicz exponents of plane curve singularities, which are not necessarily reduced. We first show that, for complex plane curve singularities, the set of polar quotients is a ...

#### A hypothesis about parallelism vs. seriality in dreams

(Front. Psychol., 2019-10-10)

The current article discusses the hypothesis about parallelism vs. Seriality in dreams. The process of dream building implies the construction of a complex network of closely interrelated sources. On the other hand, the ...

#### 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 ...

#### Gaussian processes in complex media: new vistas on anomalous diffusion

(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 ...

#### 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 ...

#### Some classes of homeomorphisms that preserve multiplicity and tangent cones

(Contemporary Mathematics, 2019-05-28)

In this paper we present some applications of A'Campo-Lê's Theorem and we study some relations between Zariski's Questions A and B. It is presented some classes of homeomorphisms that preserve multiplicity and tangent cones ...

#### 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, ...