Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Benjamin Jaye"'
Autor:
Benjamin Jaye, Mishko Mitkovski
Publikováno v:
International Mathematics Research Notices. 2022:12148-12179
This paper builds upon two key principles behind the Bourgain–Dyatlov quantitative uniqueness theorem for functions with Fourier transform supported in an Ahlfors regular set. We first provide a characterization of when a quantitative uniqueness th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a53f8d3bf240fe91658830cc0470266
https://doi.org/10.1093/imrn/rnab075
https://doi.org/10.1093/imrn/rnab075
Publikováno v:
IEEE Transactions on Information Theory. 66:2898-2903
In this note we study a conjecture of Madiman and Wang which predicted that the generalized Gaussian distribution minimizes the Renyi entropy of the sum of independent random variables. Through a variational analysis, we show that the generalized Gau
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::076f0a065f090e3d035de79502e8906d
https://doi.org/10.1109/tit.2019.2961080
https://doi.org/10.1109/tit.2019.2961080
Autor:
Tomás Merchán, Benjamin Jaye
Publikováno v:
Proceedings of the London Mathematical Society. 121:152-176
In this paper we study the relationship between two fundamental regularity properties of an $s$-dimensional Calder\'{o}n-Zygmund operator (CZO) acting on a Borel measure $\mu$ in $\mathbb{R}^d$, with $s\in (0,d)$. In the classical case when $s=d$ and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::feed103b47f3f0e912ce0e79d873ffcf
https://doi.org/10.1112/plms.12316
https://doi.org/10.1112/plms.12316
Autor:
Benjamin Jaye, Mishko Mitkovski
We provide a sufficient condition for sets of mobile sampling in terms of the surface density of the set.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb32d470d50240522dc994e16222d14b
Publikováno v:
Memoirs of the American Mathematical Society. 266
Fix $d\geq 2$, and $s\in (d-1,d)$. We characterize the non-negative locally finite non-atomic Borel measures $\mu$ in $\mathbb{R}^d$ for which the associated $s$-Riesz transform is bounded in $L^2(\mu)$ in terms of the Wolff energy. This extends the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51188926774d0b97c54cd1345da837f7
https://doi.org/10.1090/memo/1293
https://doi.org/10.1090/memo/1293
Autor:
Fedor Nazarov, Benjamin Jaye
Publikováno v:
Journal of the European Mathematical Society. 21:549-583
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2f6c0e0aad485ad9c72f58cd8199199
https://doi.org/10.4171/jems/844
https://doi.org/10.4171/jems/844
Publikováno v:
International Mathematics Research Notices. 2020:9210-9227
Let $f$ be a zero-mean continuous stationary Gaussian process on ${\mathbb R}$ whose spectral measure vanishes in a $\delta$-neighborhood of the origin. Then the probability that $f$ stays non-negative on an interval of length $L$ is at most $e^{-c\d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a3ea1e657e9ec1dc7268e26c17b8d3c
https://doi.org/10.1093/imrn/rny248
https://doi.org/10.1093/imrn/rny248
Autor:
Benjamin Jaye, Fedor Nazarov
Publikováno v:
Journal d'Analyse Mathématique. 135:599-638
We study the properties of reflectionless measures for an s-dimensional Calderon-Zygmund operator T acting in Rd, where s ∈ (0, d). Roughly speaking, these are measures μ for which Tμ(1) is constant on the support of the measure. In this series o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::963c22044aec6b8a99674ad884136cc5
https://doi.org/10.1007/s11854-018-0047-6
https://doi.org/10.1007/s11854-018-0047-6
Autor:
Fedor Nazarov, Benjamin Jaye
Publikováno v:
International Mathematics Research Notices. 2018:7305-7317
An example is constructed of a purely unrectifiable measure $\mu$ for which the singular integral operator whose kernel triples and reverses the argument of a complex number is bounded $L^2(\mu)$. This is in sharp contrast with the results known for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42db9074a494065d447b569aaf503981
https://doi.org/10.1093/imrn/rnx101
https://doi.org/10.1093/imrn/rnx101
In this paper, we study forms of the uncertainty principle suggested by problems in control theory. We obtain a version of the classical Paneah-Logvinenko-Sereda theorem for the annulus. More precisely, we show that a function with spectrum in an ann
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5795327a40055bed60060fde2f00153e