Browsing Mathematical Physics (MP) by Title
Now showing items 90109 of 115

Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency
(Chaos, Solitons and Fractals, 20151231)In many complex systems the nonlinear cooperative dynamics determine the emergence of selforganized, metastable, structures that are associated with a birthdeath process of cooperation. This is found to be described by ... 
Selfsimilar stochastic models with stationary increments for symmetric spacetime fractional diffusion
(MESA 2014  10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, Conference Proceedings, 20141231)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
(20180630)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, 20141231)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 nonMarkovian master equations. Particle trajectories are assumed to ... 
A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration
(Acta Mathematica Vietnamica, 20170404)In KontsevichSoibelman’s theory of motivic DonaldsonThomas invariants for 3dimensional noncommutative CalabiYau 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, 20161216)In KontsevichSoibelman’s theory of motivic DonaldsonThomas invariants for 3dimensional noncommutative CalabiYau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ... 
Singletrajectory spectral analysis of scaled Brownian motion
(New Journal of Physics, 201906)A standard approach to study timedependent stochastic processes is the power spectral density (PSD), an ensembleaveraged property defined as the Fourier transform of the autocorrelation function of the process in the ... 
Singularities in Geometry and Topology
(20180618)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
(20170110)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
(20180819)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 ... 
A specialization property of index
(20170110)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, 20171121)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 SeibergWitten invariant of plumbed 3manifolds
(201702)Assume that $M(\mathcal{T})$ is a rational homology sphere plumbed 3manifold associated with a connected negative definite graph $\mathcal{T}$. We consider the combinatorial multivariable Poincar\'e series associated ... 
Surrogatebased uncertainty and sensitivity analysis for bacterial invasion in multispecies biofilm modeling
(Communications Nonlinear Sciences and Numerical Simulation, 2019)In this work, we present a probabilistic analysis of a detailed onedimensional biofilm model that explicitly accounts for planktonic bacterial invasion in a multispecies biofilm. The objective is (1) to quantify and ... 
The emergence of selforganization in complex systemsPreface
(Chaos, Solitons and Fractals, 20151231)[No abstract available] 
The MWright function as a generalization of the Gaussian density for fractional diffusion processes
(Fractional Calculus and Applied Analysis, 20131231)The leading role of a special function of the Wrighttype, referred to as MWright or Mainardi function, within a parametric class of selfsimilar stochastic processes with stationary increments, is surveyed. This class ... 
Topology of Spaces of Valuations and Geometry of Singularities
(Transactions of the AMS  American Mathematical Society, 20171111)Given an algebraic variety X defined over an algebraically closed field, we study the space RZ(X,x) consisting of all the valuations of the function field of X which are centered in a closed point x of X. We concentrate ... 
Turbulence and firespotting effects into wildland fire simulators
(Communications in Nonlinear Science and Numerical Simulation, 20160101)This paper presents a mathematical approach to model the effects and the role of phenomena with random nature such as turbulence and firespotting into the existing wildfire simulators. The formulation proposes that the ... 
Twoparticle anomalous diffusion: Probability density functions and selfsimilar stochastic processes
(Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20131231)Twoparticle dispersion is investigated in the context of anomalous diffusion. Two different modeling approaches related to time subordination are considered and unified in the framework of selfsimilar stochastic processes. ...