MEASURE PARTITIONS

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Fair distributions for more participants than allocations

Year:

2021

Status:

Submitted to journal

Bisections of mass assignments using flags of affine spaces

Joint with Ilani Axelrod-Freed

Year:

2021

Status:

Submitted to journal

Lifting methods in mass partition problems

Joint with Yuki Takahashi

Year:

2021

Status:

Submitted to journal

Balanced convex partitions of lines in the plane

Joint with Alexander Xue

Year:

2021

Reference:

Discrete Comput. Geom. 66(3), pp 1150-1167

Generalizations of the Yao-Yao partition theorem and the central transversal theorem

Joint with Michael N. Manta

Year:

2021

Status:

Submitted to journal

A survey of mass partitions

Joint with Edgardo Roldán-Pensado

Year:

2020

Status:

Accepted in Bull. Amer. Math. Soc.

Cutting a part of many measures

Joint with Pavle V. M. Blagojevic, Nevena Palic, and Günter M. Ziegler

Year:

2019

Reference:

Forum of Mathematics, Sigma 7 E37

Thieves can make sandwiches

Joint with Pavle V. M. Blagojevic

Year:

2018

Reference:

Bull. London Math. Soc. 50 (1) pp.108–123

Measure Partitions Using Hyperplanes with Fixed
Directions

Joint with Roman Karasev and Edgardo Roldán-Pensado

Year:

2016

Reference:

Israel J. Math. 212(2) pp 705–708

An Extension of a Theorem by Yao & Yao

Joint with Edgardo Roldán-Pensado

Year:

2014

Reference:

Discrete Comput. Geom.
51(2), pp.285-289

Balanced Convex Partitions of Measures in R^d

Year:

2012

Reference:

Mathematika 58, pp.71-76