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James Melbourne
Observed names:
J. Melbourne,
Melbourne, James
Institutions:
Mathematics Research Center,
McMaster University
Observed institutions:
Mathematics Research Center,
University of Minnesota,
Hebrew University of Jerusalem,
University of Delaware,
McMaster University
ORCID:
0000-0002-1263-0961
Observed ORCID:
0000-0002-1263-0961
OpenAlex ID:
A5051190796
Works
71
Awards
1
Forward and Reverse Entropy Power Inequalities in Convex Geometry
2017
·
Mokshay Madiman
, James Melbourne
, et al.
·
The IMA volumes in mathematics and its applications
·
86
PDF
Rogozin's convolution inequality for locally compact groups
2017
·
Madiman, Mokshay
, Melbourne, James
, et al.
·
arXiv (Cornell University)
·
45
PDF
On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]
2018
·
Arnaud Marsiglietti
, James Melbourne
·
IEEE Transactions on Information Theory
·
29
PDF
Concentration functions and entropy bounds for discrete log-concave distributions
2021
·
Sergey G. Bobkov
, Arnaud Marsiglietti
, et al.
·
Combinatorics Probability Computing
·
23
PDF
The Differential Entropy of Mixtures: New Bounds and Applications
2022
·
James Melbourne
, Saurav Talukdar
, et al.
·
IEEE Transactions on Information Theory
·
22
PDF
Hyperbolic measures on infinite dimensional spaces
2016
·
Sergey G. Bobkov
, James Melbourne
·
Probability Surveys
·
18
Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities
2020
·
Jiange Li
, Arnaud Marsiglietti
, et al.
·
Lecture notes in mathematics
·
17
PDF
Reversal of Rényi Entropy Inequalities Under Log-Concavity
2020
·
James Melbourne
, Tomasz Tkocz
·
IEEE Transactions on Information Theory
·
16
PDF
Geometric and Functional Inequalities for Log-Concave Probability Sequences
2023
·
Arnaud Marsiglietti
, James Melbourne
·
Discrete & Computational Geometry
·
14
PDF
Concentration Inequalities for Log-concave Sequences
2026
·
Arnaud Marsiglietti
, James Melbourne
·
International Mathematics Research Notices
·
12
PDF
Transport-majorization to analytic and geometric inequalities
2022
·
James Melbourne
, Cyril Roberto
·
Journal of Functional Analysis
·
12
PDF
Concentration inequalities for ultra log-concave distributions
2022
·
Heshan Aravinda
, Arnaud Marsiglietti
, et al.
·
Studia Mathematica
·
12
PDF
Quantitative form of Ball’s cube slicing in ℝⁿ and equality cases in the min-entropy power inequality
2021
·
James Melbourne
, Cyril Roberto
·
Proceedings of the American Mathematical Society
·
12
PDF
Rényi Entropy Power Inequalities for s-concave Densities
2019
·
Jiange Li
, Arnaud Marsiglietti
, et al.
·
IEEE International Symposium on Information Theory (ISIT)
·
12
Bernoulli sums and Rényi entropy inequalities
2023
·
Mokshay Madiman
, James Melbourne
, et al.
·
Bernoulli
·
11
PDF
Functional Liftings of Restricted Geometric Inequalities
2025
·
Malliaris, Andreas
, Melbourne, James
, et al.
·
arXiv (Cornell University)
·
10
PDF
Infinity-Rényi entropy power inequalities
2017
·
Peng Xu
, James Melbourne
, et al.
·
IEEE International Symposium on Information Theory (ISIT)
·
10
Reverse entropy power inequalities for s-concave densities
2016
·
Peng Xu
, James Melbourne
, et al.
·
IEEE International Symposium on Information Theory (ISIT)
·
10
A discrete complement of Lyapunov’s inequality and its information theoretic consequences
2023
·
James Melbourne
, Gerardo Palafox-Castillo
·
The Annals of Applied Probability
·
9
PDF
On the Geometry of Consensus Algorithms with Application to Distributed Termination in Higher Dimension
2020
·
James Melbourne
, Govind Saraswat
, et al.
·
IFAC-PapersOnLine
·
9
Relationships between certain f -divergences
2019
·
James Melbourne
, Mokshay Madiman
, et al.
·
Allerton Conference on Communication, Control, and Computing
·
9
Error Bounds on a Mixed Entropy Inequality
2018
·
James Melbourne
, Saurav Talukdar
, et al.
·
IEEE International Symposium on Information Theory (ISIT)
·
9
PDF
A Renyi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]
2018
·
Arnaud Marsiglietti
, James Melbourne
·
IEEE International Symposium on Information Theory (ISIT)
·
9
Minimum entropy of a log-concave variable with fixed variance
2025
·
James Melbourne
, Piotr Nayar
, et al.
·
Probability Theory and Related Fields
·
8
PDF
Realizing Information Erasure in Finite Time
2018
·
J. Melbourne
, S. Talukdar
, et al.
·
IEEE Conference on Decision and Control (CDC)
·
8
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Works count:
71
Citation count:
516
H-index:
12
I10-index:
18
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