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J. Siqueira

Publications and source records attributed to J. Siqueira.

2 recordsLinked to original sources
arXiv2026

On the Expansiveness of Invariant Measures under Pseudogroups

In this paper, we define and study weak expansive and expansive measures for pseudogroups, these two notions appear when analyzing the role of the generating set. We investigate the relations between such properties. We also provide a criterion for a measure to be weak expansive through the positivity of its entropy, generalizing the work of Arbieto and Morales. We also show that in some settings equicontinuous pseudogroups have no expansive measures.

math.DS↗
arXiv2023

On the ergodic theory of impulsive semiflows

We consider impulsive semiflows and establish sufficient conditions to the existence of invariant measures. Namely, the impulsive set and its image are both submanifolds of codimension one that are transversal to the flow direction. Moreover, we show that under the same conditions a Variational Principle holds.

math.DS↗