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MathOverflow : Recent Questions and Answers (Page 32)

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Large deviation for Brownian occupation time

I am asking for reference about the large deviation principle (LDP) for the occupation time of a Brownian motion/bridge. Let $f:mathbb{R} to mathbb{R}$ be smooth and compactly supported. My...

Asked on 01/26/2021 by lye012

1 answer

How to turn a shuffled deck of card into bits

Suppose I fairly shuffle a deck of 52 playing cards, and I want to generate some bits. You could look at each pair of cards, see which is higher or...

Asked on 01/24/2021 by Zachary Vance

1 answer

Sparse signal recovery (nonlinear case)

Let $K subset mathbb{R}^n$, it may be that $K$ is "very thin" (e.g. $K$ is a $k$-dimensional affine subset of $mathbb{R}^n$, with $k ll...

Asked on 01/24/2021 by Sébastien Loisel

0 answer

High direct image of dualizing sheaf

I'm reading the paper "High direct image of dualizing sheaf" of professor Kollar. I summarizing my questions as follows: Let $f:Xrightarrow Y$ be surjective projective morphism between smooth projective...

Asked on 01/24/2021 by xin fu

0 answer

How badly can the GCH fail globally?

It's known that we have global failures of GCH---for example, where $forall lambda(2^lambda = lambda^{++})$---given suitable large cardinal axioms. My question is whether we can have global failures of...

Asked on 01/24/2021 by Sam Roberts

1 answer

Torque term coming from added mass effects

I'm studying a quasi-steady force model (for a 2D problem) published in a fluids journal, and one of the torque terms is a bit perplexing: the term is a product...

Asked on 01/24/2021 by user114331

2 answer

Nonseparable Hilbert spaces

Being nonseparable Banach space is in fact nothing special: one meets the firstexamples in the standard functional analysis course, when one learns about$ell^p$ or $L^p[0,1]$ spaces-these...

Asked on 01/23/2021 by truebaran

6 answer

Connectedness of the set having a fixed distance from a closed set 2

This question is related to this one: Connectedness of the set having a fixed distance from a closed set. Suppose $F$ is a closed and connected set in...

Asked on 01/23/2021 by M. Rahmat

1 answer

Filtered colim of F-groups

A group G is said to have a property F if there exists a finite aspherical CW-complex of which it is the fundamental group (according to wikipedia). question: is there...

Asked on 01/21/2021 by Ofra

1 answer

Expectation of random matrix (minimum positive eigenvalue)

Assume, $M_i$ are random symmetric positive semi-definite matrices and there exists $ 0 < mu_1 leq mu_2 $ such that $mu_1 |x|^2 leq x^TE[M_i]x leq mu_2 |x|^2$...

Asked on 01/20/2021 by Ripon

0 answer

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