Pathwise methods and stochastic calculus in the path towards understanding high-dimensional phenomena

Project Information

PATHWISE

Grant agreement ID: 803084

DOI

10.3030/803084

Project terminated on 20 February 2024

EC signature date 20 August 2018

Start date 1 January 2019

End date 30 June 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 308 188,00

EU contribution

€ 1 308 188,00

Coordinated by

WEIZMANN INSTITUTE OF SCIENCE
Israel

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Book chapters (1)

A Dimension-Free Reverse Logarithmic Sobolev Inequality for Low-Complexity Functions in Gaussian Space

Author(s): Ronen Eldan, Michel Ledoux
Published in: Geometric Aspects of Functional Analysis - Israel Seminar (GAFA) 2017-2019 Volume I, Issue 2256, 2020, Page(s) 263-271, ISBN 978-3-030-36019-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-36020-7_12

Conference proceedings (4)

Localization Schemes: A Framework for Proving Mixing Bounds for Markov Chains

Author(s): Chen, Yuansi; Eldan, Ronen
Published in: IEEE Computer Society, Issue 2, 2022, ISBN 978-1-6654-5519-0
Publisher: IEEE Computer Society
DOI: 10.48550/arxiv.2203.04163

An Optimal “It Ain’t Over Till It’s Over” Theorem

Author(s): Ronen Eldan, Avi Wigderson, Pei Wu
Published in: Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 2023, Page(s) 853-866
Publisher: ACM
DOI: 10.1145/3564246.3585205

Concentration on the Boolean hypercube via pathwise stochastic analysis

Author(s): Ronen Eldan, Renan Gross
Published in: Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing, 2020, Page(s) 208-221, ISBN 9781450369794
Publisher: ACM
DOI: 10.1145/3357713.3384230

Noise Stability on the Boolean Hypercube via a Renormalized Brownian Motion

Author(s): Ronen Eldan, Dan Mikulincer, Prasad Raghavendra
Published in: Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Issue 10, 2023, Page(s) 661-671
Publisher: ACM
DOI: 10.1145/3564246.3585118

Peer reviewed articles (7)

Stability of the Shannon–Stam inequality via the Föllmer process

Author(s): Ronen Eldan, Dan Mikulincer
Published in: Probability Theory and Related Fields, Issue 177/3-4, 2020, Page(s) 891-922, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-020-00967-w

Cone points of Brownian motion in arbitrary dimension

Author(s): Yotam Alexander, Ronen Eldan
Published in: The Annals of Probability, Issue 47/5, 2019, Page(s) 3143-3169, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-aop1335

The CLT in high dimensions: Quantitative bounds via martingale embedding

Author(s): Ronen Eldan, Dan Mikulincer, Alex Zhai
Published in: The Annals of Probability, Issue 48/5, 2020, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1429

Stability of the logarithmic Sobolev inequality via the Föllmer process

Author(s): Ronen Eldan, Joseph Lehec, Yair Shenfeld
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Issue 56/3, 2020, Page(s) 2253-2269, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/19-aihp1038

A Simple Approach to Chaos For p-Spin Models

Author(s): Ronen Eldan
Published in: Journal of Statistical Physics, Issue 181/4, 2020, Page(s) 1266-1276, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02626-9

A spectral condition for spectral gap: fast mixing in high-temperature Ising models

Author(s): Ronen Eldan, Frederic Koehler, Ofer Zeitouni
Published in: Probability Theory and Related Fields, Issue 182, 2022, Page(s) 1035-1051, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01085-x

Taming correlations through entropy-efficient measure decompositions with applications to mean-field approximation

Author(s): Ronen Eldan
Published in: Probability Theory and Related Fields, Issue 176/3-4, 2020, Page(s) 737-755, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-019-00924-2