Zobrazeno 1 - 10
of 28
pro vyhledávání: '"ELLIOT PAQUETTE"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We study a natural model of a random $2$-dimensional cubical complex which is a subcomplex of an n-dimensional cube, and where every possible square $2$-face is included independently with probability p. Our main result exhibits a sharp threshold $p=
Externí odkaz:
https://doaj.org/article/11ee5a3166e44deab1101efe1912766a
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix. We consider the matrix ${\mathcal
Externí odkaz:
https://doaj.org/article/619c528523354f26bbba7562379e5b23
Autor:
Tim Hoheisel, Elliot Paquette
Publikováno v:
Journal of Optimization Theory and Applications. 197:252-276
Autor:
Andrew Newman, Elliot Paquette
Publikováno v:
Proceedings of the American Mathematical Society.
We prove that in the d d -dimensional Linial–Meshulam stochastic process the ( d − 1 ) (d - 1) st homology group with integer coefficients vanishes exactly when the final maximal ( d − 1 ) (d - 1) -dimensional face is covered by a top-dimension
Autor:
Gaultier Lambert, Elliot Paquette
Publikováno v:
The Annals of Applied Probability. 33
Publikováno v:
Transactions of the American math. Society
Let $T_N$ denote an $N\times N$ Toeplitz matrix with finite, $N$ independent symbol ${\bf a}$. For $E_N$ a noise matrix satisfying mild assumptions (ensuring, in particular, that $N^{-1/2}\|E_N\|_{{\rm HS}}\to_{N\to\infty} 0$ at a polynomial rate), w
Publikováno v:
Forum of Mathematics, Sigma. 10
We study a natural model of a random $2$ -dimensional cubical complex which is a subcomplex of an n-dimensional cube, and where every possible square $2$ -face is included independently with probability p. Our main result exhibits a sharp threshold $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e004dd5b237a9f8a4d5d9e9379a0c0d
https://mediatum.ub.tum.de/1659357
https://mediatum.ub.tum.de/1659357
We give sufficient conditions for a discrete set of points in any dimensional real hyperbolic space to have positive anchored expansion. The first condition is a bounded mean density property, ensuring not too many points can accumulate in large regi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a572d15be2037220f54eb802bf2799e8
Autor:
Alon Nishry, Elliot Paquette
We consider random analytic functions given by a Taylor series with independent, centered complex Gaussian coefficients. We give a new sufficient condition for such a function to have bounded mean oscillations. Under a mild regularity assumption this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::380a0eb7e28a5bb34e1f93567dd8ae3b