46 citations · 128 across the 37 of their papers we have counts for
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Berry-Esseen type estimate and return sequence for parabolic iteration in the upper half-plane
Octavio Arizmendi, Mauricio Salazar, Jiun-Chau Wang
Two different aspects of parabolic iteration in the complex upper half-plane are considered here. First, from a noncommutative probability perspective, a Berry-Esseen type estimate…
Coulson Integral Formula for the Vertex Energy of a Graph
Octavio Arizmendi, Beatriz Carely Luna Olivera, Marcelino Ramírez Ibáñez
In this note we prove that the vertex energy of a graph, as defined in Arizmendi and Juarez (2018), can be calculated in terms of a Coulson integral formula. We present examples of…
Energy of a Vertex
Octavio Arizmendi, Jorge Fernandez Hidalgo, Oliver Juarez-Romero
In this paper we develop the concept of energy of a vertex introduced in Arizmendi and Juarez-Romero (2016). We derive basic inequalities, continuity properties, give examples and…