58 citations · 112 across the 16 of their papers we have counts for
18 papers
Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
Luiz C. B. da Silva, Gilson S. Ferreira, José D. da Silva
In the last two decades, much effort has been dedicated to studying curves and surfaces according to their angle with a given direction. However, most findings were obtained using…
Fractional Poisson Analysis in Dimension one
Jerome B. Bendong, Sheila M. Menchavez, José Luís da Silva
In this paper, we use a biorthogonal approach (Appell system) to construct and characterize the spaces of test and generalized functions associated to the fractional Poisson measur…
Characterization of manifolds of constant curvature by ruled surfaces
Luiz C. B. da Silva, José D. da Silva
We investigate ruled surfaces in 3d Riemannian manifolds, i.e., surfaces foliated by geodesics. In 3d space forms, we find the striction curve, distribution parameter, and the firs…
Random Time Dynamical Systems I: General Structures
José Luís da Silva, Yuri Kondratiev
In this paper we introduce the concept of random time changes in dynamical systems. The subordination principle may be applied to study the long time behavior of the random time sy…
Green Measures for Time Changed Markov Processes
José L. da Silva, Yuri Kondratiev
In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of th…
Asymptotic Behavior of the Subordinated Traveling Waves
Yuri Kondratiev, José Luís da Silva
In this paper we investigate the long-time behavior of the subordination of the constant speed traveling waves by a general class of kernels. We use the Feller--Karamata Tauberian…
Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations
Wei Liu, Michael Röckner, José Luís da Silva
In this paper strong dissipativity of generalized time-fractional derivatives on Gelfand triples of properly in time weighted -path spaces is proved. In particular, the classi…
Fractional Periodic Processes: Properties and an Application of Polymer Form Factors
Wolfgang Bock, Jose Luis da Silva, Ludwig Streit
In this paper we introduce and study three classes of fractional periodic processes. An application to ring polymers is investigated. We obtain a closed analytic expressions for th…
Heat Kernel Estimates for Fractional Heat Equation
Anatoly N. Kochubei, Yuri G. Kondratiev, José L. da Silva
We study the long-time behavior of the Cesaro means of fundamental solutions for fractional evolution equations corresponding to random time changes in the Brownian motion and othe…
Singularity of Generalized Grey Brownian Motion and Time-Changed Brownian Motion
José Luís da Silva, Mohamed Erraoui
The generalized grey Brownian motion is a time continuous self-similar with stationary increments stochastic process whose one dimensional distributions are the fundamental solutio…
From Random Times to Fractional Kinetics
Anatoly N. Kochubei, Yuri Kondratiev, José Luís da Silva
In this paper we study the effect of the subordination by a general random time-change to the solution of a model on spatial ecology in terms of its evolution density. In particula…
Characterization of manifolds of constant curvature by spherical curves
Luiz C. B. da Silva, José D. da Silva
It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical…
Energy Functions in Polymer Dynamics in terms of Generalized Grey Brownian Motion
Wolfgang Bock, Jose Luis da Silva, Ludwig Streit
In this paper we investigate the energy functions for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. We obtain closed…
Stochastic Quantization for the Edwards Measure of Fractional Brownian Motion with
Wolfgang Bock, Torben Fattler, Jose Luis da Silva +1
In this paper we construct a Markov process which has as invariant measure the fractional Edwards measure based on a -dimensional fractional Brownian motion, with Hurst index $H…
Self-intersection local times for generalized grey Brownian motion in higher dimensions
José Luís da Silva, Herry Pribawanto Suryawan, Wolfgang Bock
We prove that the self-intersection local times for generalized grey Brownian motion in arbitrary dimension is a well defined object in a suitable distribution space…
Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
Wei Liu, Michael Röckner, José Luís da Silva
In this paper we develop a method to solve evolution equations on Gelfand triples with time-fractional derivative based on monotonicity techniques. Applications include determinist…
Characterization of curves that lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere
Luiz C. B. da Silva, José Deibsom da Silva
The consideration of the so-called rotation minimizing frames allows for a simple and elegant characterization of plane and spherical curves in Euclidean space via a linear equatio…
Approximation of a free Poisson process by systems of freely independent particles
Marek Bożejko, José Luís da Silva, Tobias Kuna +1
Let be a non-atomic, infinite Radon measure on , for example, where . We consider a system of freely independent particles in a…