Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Paata Ivanisvili"'
Autor:
Paata Ivanisvili, Yonathan Stone
Publikováno v:
Discrete Analysis (2024)
The KKL inequality and Rademacher type 2, Discrete Analysis 2024:2, 14 pp. The parallelepiped identity in a Euclidean space is the identity $$\|x+y\|^2+\|x-y\|^2=2(\|x\|^2+\|y\|^2),$$ which can easily be checked directly, and which generalizes to th
Externí odkaz:
https://doaj.org/article/9cda2e2d25e549fb9194ff2d5d70ba28
Publikováno v:
Discrete Analysis (2023)
Low-degree learning and the metric entropy of polynomials, Discrete Analysis 2023:17, 23 pp. This paper is a follow-up to a paper by the first two authors on the general problem of designing algorithms that can efficiently learn functions defined on
Externí odkaz:
https://doaj.org/article/bb0396089e3a4a9cbbbee2fca36f2803
Publikováno v:
Discrete Analysis (2023)
One definition of additive combinatorics is that it is the study of subsets of (usually Abelian) groups. Two much studied parameters associated with a subset $A$ are the size of its sumset $A+A=\{a+b:a,b\in A\}$ (or the product set $A.A=\{a.b:a,b\in
Externí odkaz:
https://doaj.org/article/abe6fcf03f644fb49b3c50821a053e9d
Publikováno v:
Discrete Analysis (2018)
Square functions and the Hamming cube: duality, Discrete Analysis 2018:1, 18 pp. This paper establishes a duality between, on the one hand, continuous objects such as square functions and stochastic processes in analysis, and on the other hand, disc
Externí odkaz:
https://doaj.org/article/7afa6a2a5fd64aa68938b9406a608cb2
Autor:
Alexandros Eskenazis, Paata Ivanisvili
Publikováno v:
Israel Journal of Mathematics. 253:469-485
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97b66edeb9f49a5295b219d01ea8d2ec
https://doi.org/10.1007/s11856-022-2373-8
https://doi.org/10.1007/s11856-022-2373-8
Publikováno v:
Revista Matemática Iberoamericana. 38:1335-1348
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a8e5793ba836eee06d97198a81c9dd3
https://doi.org/10.4171/rmi/1305
https://doi.org/10.4171/rmi/1305
Autor:
Fedor Nazarov, Paata Ivanisvili
Publikováno v:
International Mathematics Research Notices. 2022:6991-7020
Let $1\leq p \leq q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd04a1d05ddb206ee284a9365fb050b4
https://doi.org/10.1093/imrn/rnaa363
https://doi.org/10.1093/imrn/rnaa363
Autor:
Connor Mooney, Paata Ivanisvili
Publikováno v:
Anal. PDE 13, no. 5 (2020), 1591-1603
Motivated by the inequality $\|f+g\|_{2}^{2} \leq \|f\|_{2}^{2}+2\|fg\|_{1}+\|g\|^{2}_{2}$, Carbery (2006) raised the question what is the "right" analogue of this estimate in $L^{p}$ for $p \neq 2$. Carlen, Frank, Ivanisvili and Lieb (2018) recently
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed2ab0c7c7c332ddfeff6b7ec893b49a
https://doi.org/10.2140/apde.2020.13.1591
https://doi.org/10.2140/apde.2020.13.1591
Autor:
Paata Ivanisvili, Alexandros Eskenazis
Publikováno v:
Probability Theory and Related Fields. 178:235-287
Let $$(X,\Vert \cdot \Vert _X)$$ be a Banach space. The purpose of this article is to systematically investigate dimension independent properties of vector valued functions $$f:\{-1,1\}^n\rightarrow X$$ on the Hamming cube whose spectrum is bounded a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d682c51235b7d30176f645bb31d1b9a
https://doi.org/10.1007/s00440-020-00973-y
https://doi.org/10.1007/s00440-020-00973-y
Autor:
Paata Ivanisvili, Alexander Volberg
Publikováno v:
Revista Matemática Iberoamericana. 36:79-97
For any n≥1, and any f:{−1,1}n→R, we have RE(f+i|∇f|)3/2≤R(Ef)3/2, where z3/2 for z=x+iy is taken with principal branch, and R denotes the real part. We show an application of this inequality: it sharpens a well-known inequality of Beckner.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6aad681f65a1c20e824309a75d63fbbf
https://doi.org/10.4171/rmi/1122
https://doi.org/10.4171/rmi/1122