Now showing items 98-117 of 126

• #### Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency ﻿

(Chaos, Solitons and Fractals, 2015-12-31)
In many complex systems the non-linear cooperative dynamics determine the emergence of self-organized, metastable, structures that are associated with a birth-death process of cooperation. This is found to be described by ...
• #### Self-similar stochastic models with stationary increments for symmetric space-time fractional diffusion ﻿

(MESA 2014 - 10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, Conference Proceedings, 2014-12-31)
An approach to develop stochastic models for studying anomalous diffusion is proposed. In particular, in this approach the stochastic particle trajectory is based on the fractional Brownian motion but, for any realization, ...
• #### Semialgebraic CMC surfaces in $\mathbb{R}^3$ with singularities ﻿

(2018-06-30)
In this paper we present a classification of a class of semialgebraic CMC surfaces in $\mathbb{R}^3$ that generalizes the recent classification made by Barbosa and do Carmo in 2016 (complete reference is in the paper), we ...
• #### Short note on the emergence of fractional kinetics ﻿

(Physica A: Statistical Mechanics and its Applications, 2014-12-31)
In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional non-Markovian master equations. Particle trajectories are assumed to ...
• #### A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration ﻿

(Acta Mathematica Vietnamica, 2017-04-04)
In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ...
• #### A Short Survey on the Integral Identity Conjectureand Theories of Motivic Integration ﻿

(Acta Mathematica Vietnamica, 2016-12-16)
In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ...
• #### 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 ...
• #### Singularities in Geometry and Topology ﻿

(2018-06-18)
This thesis consists of two different topics that are not related. The thesis has two different and independent parts that can be read in any order. The purpose of this work is to study two topics in singularity theory: ...
• #### Singularities of the Hilbert scheme of effective divisors ﻿

(2017-01-10)
In this article, we study the Hilbert scheme of effective divisors in smooth hypersurfaces in $\mathbb{P}^3$, a topic not extensively studied. We prove that there exists such effective divisors $D$ satisfying the property: ...
• #### Some classes of homeomorphisms that preserve multiplicity and tangent cones ﻿

(2018-08-19)
In this paper it is presented some classes of homeomorphisms that preserve multiplicity and tangent cones of complex analytic sets. Moreover, we present a class of homeomorphisms that has the multiplicity as an invariant ...
• #### 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 ...
• #### Some classes of homeomorphisms that preserve multiplicity and tangent cones ﻿

(AMERICAN MATHEMATICAL SOCIETY, 2020-01-01)
In this paper we present some applications of A’Campo-Lˆe’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 ...
• #### A specialization property of index ﻿

(2017-01-10)
In [Kol13] Kollár defined $i$-th index of a proper scheme over a field. In this note we study how index behaves under specialization, in any characteristic.
• #### Stochastic processes for anomalous diffusion ﻿

(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 ...
• #### Stochastic spatial models in ecology: a statistical physics approach ﻿

(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 ...
• #### Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ﻿

(2017-02)
Assume that $M(\mathcal{T})$ is a rational homology sphere plumbed 3--manifold associated with a connected negative definite graph $\mathcal{T}$. We consider the combinatorial multivariable Poincar\'e series associated ...
• #### Surrogate-based uncertainty and sensitivity analysis for bacterial invasion in multi-species biofilm modeling ﻿

(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 ...
• #### The emergence of self-organization in complex systems-Preface ﻿

(Chaos, Solitons and Fractals, 2015-12-31)
[No abstract available]
• #### The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes ﻿

(Fractional Calculus and Applied Analysis, 2013-12-31)
The leading role of a special function of the Wright-type, referred to as M-Wright or Mainardi function, within a parametric class of self-similar stochastic processes with stationary increments, is surveyed. This class ...
• #### 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 ...