2 citations · 2 across the 5 of their papers we have counts for
5 papers
The Erdős similarity conjecture and Rajchman measures
A. Iosevich, N. Kulkarni, N. Mora Cuéllar +2
Let support a probability measure whose Fourier--Stieltjes transform tends to zero at infinity. We prove that, for every , there is a cl…
The Erdős Similarity Conjecture for Two-Fold Sumsets with a Geometric Summand
N. Mora Cuellar, A. Iosevich, N. Kulkarni +2
We settle a major case in the two-set regime of the Erdős similarity conjecture: the sum of a geometric sequence and an arbitrary infinite set is never measure universal. Here a se…
Additive and multiplicative densities, prime valuations and symbolic models
Natalia Mora Cuellar, Ignacio Rojas Aravena, Alexia Yavicoli
We study additive and multiplicative densities of subsets of along prescribed Følner sequences. We prove that additive upper density one implies multiplicative density one alo…
Recent Developments in Security-Constrained AC Optimal Power Flow: Overview of Challenge 1 in the ARPA-E Grid Optimization Competition
Ignacio Aravena, Daniel K. Molzahn, Shixuan Zhang +12
The optimal power flow problem is central to many tasks in the design and operation of electric power grids. This problem seeks the minimum cost operating point for an electric pow…
Solving realistic security-constrained optimal power flow problems
Cosmin G. Petra, Ignacio Aravena
We present a decomposition approach for obtaining good feasible solutions for the security-constrained alternating-current optimal power flow (SCACOPF) problem at an industrial sca…