activity
20202026
most citedStochastic near-optimal control: additive, multiplicative, non-Markovian and applications

2 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.HO2026

The Markov Accessibility Topology and its Probabilistic Structure

Lourival Lima, Jorge Vielma

In this paper, we associate a canonical topology with the transition operator of a discrete-time Markov chain. We prove that this construction defines an Alexandroff topology, call…

math.DS2025

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…

math.FA2024

The property and local spectral theory

Elvis Aponte, Lourival Lima, José Sanabria

In this paper, we introduce and study the spectral property . This property means that the difference between the approximate point spectrum and the upper semi-Fredholm spec…

math.PR2022★ 1 cited

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…

math.DS2022

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…

math.PR2020★ 2 cited

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…