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pro vyhledávání: '"March T"'
Autor:
Boedihardjo, March T.
This note is a continuation of the author's previous work on "Sharp bounds for the max-sliced Wasserstein distance." We use the same technique to obtain an upper bound for the expected max-sliced 2-Wasserstein distance between a compactly supported s
Externí odkaz:
http://arxiv.org/abs/2403.02142
Autor:
Boedihardjo, March T.
We obtain essentially matching upper and lower bounds for the expected max-sliced 1-Wasserstein distance between a probability measure on a separable Hilbert space and its empirical distribution from $n$ samples. By proving a Banach space version of
Externí odkaz:
http://arxiv.org/abs/2403.00666
Publikováno v:
Invent. Math. 234, 419-487 (2023)
A central tool in the study of nonhomogeneous random matrices, the noncommutative Khintchine inequality, yields a nonasymptotic bound on the spectral norm of general Gaussian random matrices $X=\sum_i g_i A_i$ where $g_i$ are independent standard Gau
Externí odkaz:
http://arxiv.org/abs/2108.06312
We give a non-asymptotic bound on the spectral norm of a $d\times d$ matrix $X$ with centered jointly Gaussian entries in terms of the covariance matrix of the entries. In some cases, this estimate is sharp and removes the $\sqrt{\log d}$ factor in t
Externí odkaz:
http://arxiv.org/abs/2104.02662
Autor:
Boedihardjo, March T.
We estimate the expected value of certain function $f:\{-1,1\}^{n}\to\mathbb{R}$. For example, with computer assistance, we show that if $\Delta$ is the Laplacian of the Cayley graph of $(\mathbb{Z}/15\mathbb{Z})\times(\mathbb{Z}/15\mathbb{Z})$ and $
Externí odkaz:
http://arxiv.org/abs/1909.05837
Autor:
Boedihardjo, March T.
Let $p\in(1,\infty)\backslash\{2\}$. We show that every homomorphism from a $C^{*}$-algebra $\mathcal{A}$ into $B(l^{p}(J))$ satisfies a compactness property where $J$ is any set. As a consequence, we show that a $C^{*}$-algebra $\mathcal{A}$ is isom
Externí odkaz:
http://arxiv.org/abs/1812.11165
Autor:
Bandeira, Afonso S.1 (AUTHOR), Boedihardjo, March T.1 (AUTHOR), van Handel, Ramon2 (AUTHOR) rvan@math.princeton.edu
Publikováno v:
Inventiones Mathematicae. Oct2023, Vol. 234 Issue 1, p419-487. 69p.
Autor:
Boedihardjo, March T.
We identify the weak closures of the ranges of certain Calkin representations for $L^{p}$, $1
Externí odkaz:
http://arxiv.org/abs/1707.09658
Autor:
Boedihardjo, March T.
We obtain (i) a new, coordinate free, characterization of quasidiagonal operators with essential spectra contained in the unit circle by adapting the proof of a classical result in the theory of Banach spaces, (ii) an affirmative answer to some quest
Externí odkaz:
http://arxiv.org/abs/1401.5829