Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Measure partitions using hyperplanes with fixed directions

- R. Karasev, E. Roldán-Pensado, P. Soberón
- Mathematics
- 20 August 2014

We study nested partitions of Rd obtained by successive cuts using hyperplanes with fixed directions. We establish the number of measures that can be split evenly simultaneously by taking a partition… Expand

8 2- PDF

Helly numbers of algebraic subsets of ℝd and an extension of Doignon’s Theorem

- J. A. De Loera, R. La Haye, D. Oliveros, E. Roldán-Pensado
- Mathematics
- 26 January 2017

Abstract We study S-convex sets, which are the geometric objects obtained as the intersection of the usual convex sets in ℝd with a proper subset S ⊂ ℝd, and contribute new results about their… Expand

7 2

Line Transversals to Translates of a Convex Body

- J. Jerónimo-Castro, E. Roldán-Pensado
- Mathematics, Computer Science
- Discret. Comput. Geom.
- 1 March 2011

Let K be a convex body in the plane. Define λ(K,t) as the smallest number satisfying the following: if $\mathcal{F}$ is any family of translates of K such that every t members of $\mathcal{F}$ have a… Expand

4 1

A characteristic property of the Euclidean disc

- J. Jerónimo-Castro, E. Roldán-Pensado
- Mathematics, Computer Science
- Period. Math. Hung.
- 12 December 2009

TLDR

4 1

Zero-sum squares in bounded discrepancy {-1,1}-matrices

- Alma R. Ar'evalo, A. Montejano, E. Roldán-Pensado
- Mathematics
- 15 May 2020

For $n\ge 5$, we prove that every $n\times n$ $\{-1,1\}$-matrix $M=(a_{ij})$ with discrepancy $\sum a_{ij} \le n$ contains a zero-sum square except for the diagonal matrix (up to symmetries). Here, a… Expand

1 1- PDF

Lower bounds on geometric Ramsey functions

- M. Eliáš, J. Matousek, E. Roldán-Pensado, Zuzana Safernová
- Mathematics, Computer Science
- Symposium on Computational Geometry
- 19 July 2013

TLDR

9

A Note on the Tolerant Tverberg Theorem

- Natalia Garcia-Colin, M. Raggi, E. Roldán-Pensado
- Mathematics, Computer Science
- Discret. Comput. Geom.
- 23 February 2017

TLDR

6

HELLY NUMBERS OF ALGEBRAIC SUBSETS OF R

We study S-convex sets, which are the geometric objects obtained as the intersection of the usual convex sets in R with a proper subset S ⊂ R. We contribute new results about their S-Helly numbers.… Expand

8

Beyond Chance-Constrained Convex Mixed-Integer Optimization: A Generalized Calafiore-Campi Algorithm and the notion of $S$-optimization

- J. D. Loera, R. N. L. Haye, D. Oliveros, E. Roldán-Pensado
- Mathematics
- 31 March 2015

The scenario approach developed by Calafiore and Campi to attack chance-constrained
convex programs utilizes random sampling on the uncertainty parameter to substitute the
original problem with a… Expand

7- PDF

Helly numbers of Algebraic Subsets of $\mathbb R^d$

- J. D. Loera, R. N. L. Haye, D. Oliveros, E. Roldán-Pensado
- Mathematics
- 10 August 2015

Author(s): De Loera, J. A.; La Haye, R. N.; Oliveros, D.; Roldan-Pensado, E. | Abstract: We study $S$-convex sets, which are the geometric objects obtained as the intersection of the usual convex… Expand

6- PDF