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pro vyhledávání: '"Mody, Krishnan"'
Autor:
Kobzar, Vladimir A., Mody, Krishnan
This work addresses the block-diagonal semidefinite program (SDP) relaxations for the clique number of the Paley graphs. The size of the maximal clique (clique number) of a graph is a classic NP-complete problem; a Paley graph is a deterministic grap
Externí odkaz:
http://arxiv.org/abs/2304.08615
Autor:
Mody, Krishnan
We prove that in the limit of large dimension, the distribution of the logarithm of the characteristic polynomial of a generalized Wigner matrix converges to a log-correlated field. In particular, this shows that the limiting joint fluctuations of th
Externí odkaz:
http://arxiv.org/abs/2302.05956
In the setting of generic $\beta$-ensembles, we use the loop equation hierarchy to prove a local law with optimal error up to a constant, valid on any scale including microscopic. This local law has the following consequences. (i) The optimal rigidit
Externí odkaz:
http://arxiv.org/abs/2103.06841
Autor:
Bourgade, Paul, Mody, Krishnan
We prove that the logarithm of the determinant of a Wigner matrix satisfies a central limit theorem in the limit of large dimension. Previous results about fluctuations of such determinants required that the first four moments of the matrix entries m
Externí odkaz:
http://arxiv.org/abs/1811.06815
We propose the labeled \v{C}ech complex, the plain labeled Vietoris-Rips complex, and the locally scaled labeled Vietoris-Rips complex to perform persistent homology inference of decision boundaries in classification tasks. We provide theoretical con
Externí odkaz:
http://arxiv.org/abs/1805.09949
Autor:
Mody, Krishnan, Hajian, Amir
Publikováno v:
The Astrophysical Journal, Volume 758, Issue 1, article id. 4 (2012)
We present our measurement of the "bulk flow" using the kinetic Sunyaev-Zel'dovich (kSZ) effect in the WMAP 7-year data. As the tracer of peculiar velocities, we use Planck Early Sunyaev-Zel'dovich Detected Cluster Catalog and a compilation of X-ray
Externí odkaz:
http://arxiv.org/abs/1202.1339
Autor:
Bourgade, Paul1 (AUTHOR) bourgade@cims.nyu.edu, Mody, Krishnan1 (AUTHOR), Pain, Michel1 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Apr2022, Vol. 391 Issue 1, p1017-1079. 63p.
Akademický článek
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