22 citations · 48 across the 20 of their papers we have counts for
22 papers
Minimal jointly uniform attractor for nonautonomous random dynamical systems
Pedro Catuogno, Alexandre do Nascimento Oliveira-Sousa, Paulo Ruffino
We introduce a notion of minimal uniform attractor for nonautonomous random dynamical systems, which depends jointly on time and on a random parameter. Several examples are provide…
Decomposition of discontinuous flows of diffeomorphisms: jumpings, geometrical and topological aspects
Lourival Lima, Paulo Ruffino
Let be a compact manifold equipped with a pair of complementary foliations, say horizontal and vertical . In Melo, Morgado and Ruffino (Disc Cont Dyn…
Geometric decomposition of flows generated by rough path differential equations
Pedro Catuogno, Lourival Lima, Paulo Ruffino
Whenever an Itô-Wentsel type of formula holds for composition of flows of a certain differential dynamics, there exists locally a decomposition of the corresponding flow according…
Geometric aspects of Young Integral: decomposition of flows
Lourival Lima, Paulo Ruffino, Pedro Catuogno
In this paper we study geometric aspects of dynamics generated by Young differential equations (YDE) driven by -Hölder trajectories with . We present a number of…
Stochastic near-optimal control: additive, multiplicative, non-Markovian and applications
Lourival Lima, Paulo Ruffino, Francys Souza
In this survey we present the near-optimal stochastic control problem according to some recent tools in the literature. In particular, we focus on the approach of a discretization…
A strong averaging principle for Lévy diffusions in foliated spaces with unbounded leaves
Paulo-Henrique da Costa, Michael A. Högele, Paulo R. Ruffino
This article extends a strong averaging principle for Lévy diffusions which live on the leaves of a foliated manifold subject to small transversal Lévy type perturbation to the cas…
Topology of foliations and decomposition of stochastic flows of diffeomorphisms
Alison M. Melo, Leandro Morgado, Paulo R. Ruffino
Let be a compact manifold equipped with a pair of complementary foliations, say horizontal and vertical. In Catuogno, Silva and Ruffino (. ., 2013) it is shown that…
Decomposition of stochastic flows generated by Stratonovich SDEs with jumps
Alison M. Melo, Leandro Morgado, Paulo R. Ruffino
Consider a manifold endowed locally with a pair of complementary distributions and let and be the corresponding…
Stochastic delay differential equations with jumps in differentiable manifolds
Leandro Morgado, Paulo R. Ruffino
In this article we propose a model for stochastic delay differential equation with jumps (SDDEJ) in a differentiable manifold endowed with a connection . In our model,…
Stochastic n-point D-bifurcations of stochastic Lévy flows and their complexity on finite spaces
Paulo Henrique da Costa, Michael A. Högele, Paulo R. Ruffino
This article refines the classical notion of a stochastic D-bifurcation to the respective family of n-point motions for homogeneous Markovian stochastic semiflows, such as stochast…
Extension of time for decomposition of stochastic flows in spaces with complementary foliations
Leandro Morgado, Paulo R. Ruffino
Let be a manifold equipped (locally) with a pair of complementary foliations. In Catuogno, da Silva and Ruffino (Stoch. Dyn. 2013), it is shown that, up to a stopping time ,…
Application of an averaging principle on foliated diffusions: topology of the leaves
Paulo R. Ruffino
We consider an transversal perturbing vector field in a foliated Brownian motion defined in a foliated tubular neighbourhood of an embedded compact submanifold in . We s…
Averaging along foliated Lévy diffusions
Michael Högele, Paulo R Ruffino
This article studies the dynamics of the strong solution of a SDE driven by a discontinuous Lévy process taking values in a smooth foliated manifold with compact leaves. It is assu…
A Sampling Theorem for Rotation Numbers of Linear Processes in
Paulo R. C. Ruffino
We prove an ergodic theorem for the rotation number of the composition of a sequence os stationary random homeomorphisms in . In particular, the concept of rotation number o…
A family of rotation numbers for discrete random dynamics on the circle
Christian S. Rodrigues, Paulo R. C. Ruffino
We revisit the problem of well-defining rotation numbers for discrete random dynamical systems on the circle. We show that, contrasting with deterministic systems, the topological…
Degenerate semigroups and stochastic flows of mappings in foliated manifolds
Paulo Henrique P da Costa, Paulo R. Ruffino
Let be a compact Riemannian foliated manifold. We consider a family of compatible Feller semigroups in associated to laws of the -point motion. Under…
An averaging principle for diffusions in foliated spaces
Ivan I. Gonzales-Gargate, Paulo R. Ruffino
Consider an SDE on a foliated manifold whose trajectories lay on compact leaves. We investigate the effective behavior of a small transversal perturbation of order . A…
Harmonic measures in embedded foliated manifolds
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
We study harmonic and totally invariant measures in a foliated compact Riemannian manifold isometrically embedded in an Euclidean space. We introduce geometrical techniques for sto…
Decomposition of stochastic flows in manifolds with complementary distributions
Pedro J. Catuogno, Fabiano B. da Silva, Paulo R. Ruffino
Let be a differentiable manifold endowed locally with two complementary distributions, say horizontal and vertical. We consider the two subgroups of (local) diffeomorphisms of…
A note on stochastic calculus in vector bundles
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
The aim of these notes is to relate covariant stochastic integration in a vector bundle (as in Norris \cite{Norris}) with the usual Stratonovich calculus via the connector $\K:…
Foliated stochastic calculus: Harmonic measures
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foli…
Decomposition of stochastic flows with automorphism of subbundles component
Pedro J. Catuogno, Fabiano B. da Silva, Paulo Ruffino
We show that given a -structure on a differentiable manifold , if the group of automorphisms of is big enough, then there exists the quotient of an stochastic…