Higher Order Fluctuations in Dense Random Graph Models

APA

(2022). Higher Order Fluctuations in Dense Random Graph Models. The Simons Institute for the Theory of Computing. https://old.simons.berkeley.edu/node/22596

MLA

Higher Order Fluctuations in Dense Random Graph Models. The Simons Institute for the Theory of Computing, Sep. 27, 2022, https://old.simons.berkeley.edu/node/22596

BibTex

          @misc{ scivideos_22596,
            doi = {},
            url = {https://old.simons.berkeley.edu/node/22596},
            author = {},
            keywords = {},
            language = {en},
            title = {Higher Order Fluctuations in Dense Random Graph Models},
            publisher = {The Simons Institute for the Theory of Computing},
            year = {2022},
            month = {sep},
            note = {22596 see, \url{https://scivideos.org/simons-institute/22596}}
          }
          
Adrian Roellin (National University of Singapore)
Source Repository Simons Institute

Abstract

Abstract Dense graph limit theory is mainly concerned with law-of large-number type of results. We propose a corresponding central limit theorem - or rather fluctuation theory - based on Janson's theory of Gaussian Hilbert Spaces and generalised U-statistics from the 1990s. Our approach provides rates and allows for proper statistical inference based on subgraph counts.