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Sublinear variance in Euclidean first-passage percolation
Institution:1. Department of Electrical and Computer Engineering, National University of Singapore, Singapore;2. Department of Electrical Engineering, University of Notre Dame, USA;1. Mathematical Sciences Research Institute, United States of America;2. Georgia Institute of Technology, United States of America;3. DePaul University, United States of America;4. Willamette University, United States of America;5. Duke University, United States of America;1. Leibniz Institute of Photonic Technology (IPHT), P.O.B. 100239, Jena, D-07702 Germany;2. Institute of Organic Chemistry and Macromolecular Chemistry, Friedrich Schiller University of Jena, Humboldtstrasse 10, Jena, D-07743 Germany;1. Bar Ilan University, Israel;2. Labex Milyon, Université Lyon 1, France
Abstract:
Keywords:First-passage percolation  Euclidean first-passage percolation  Sublinear variance  Entropy method  Bernoulli encoding  Logarithmic Sobolev inequality
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