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Shalop

NYC

Just a mediocre graduate student headed inevitably towards academic failure.

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23
Is there a slowest divergent function?
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20
Inverse of a function's integral
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19
Maximizing the value of $\int_0^1 f(x)f^{-1}(x)\ \mathrm dx$
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17
A complete subset of a metric space is closed?
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17
(Elementary) Markov property of the Brownian motion
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14
A function whose antiderivative equals its inverse.
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13
Planet with intense seasons
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13
Fractional Brownian Motion and Fractional Laplacian
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13
Is there an example of a non compact operator whose square is compact?
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12
Can wind remain as cold as -70 degrees?
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12
If $f(A)\to A^{-1}$, prove that $f$ is continuous.
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11
Why does the characteristic function always exist?
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11
Photo Competition 2021-11-15: Landscapes
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11
Why a infinite dimensional vector space over $\mathbb F_2$ is uncountable?
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10
If $f(x+1)+f(x-1)=\sqrt 3 f(x), \forall x$ then $f$ is periodic.
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9
Show that $\frac1n\max\limits_{1\le i \le n } X_i\to0$ almost surely, with no independence assumption
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8
Law of large numbers for non-identically distributed Bernoulli random variables
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8
Graph of real continuous function has measure zero
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8
$\lim_{n\to ∞} \left[\frac{f\left( x +\frac1n\right)}{ f(x)}\right]^n$
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8
Does $|f'(x)|<1$ imply $f$ has a fixed point?
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7
Distribution of the Maximum of a (infinite) Random Walk
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7
Operator $T \colon L^p \to L^p$ is a conditional expectation
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7
how to evaluate the product $\prod _{n=2}^\infty (1+ \frac{1}{n^2}+\frac{1}{n^4}+\frac{1}{n^6}+\cdots )$?
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7
How to show that if $\prod X_\alpha$ is Hausdorff or normal then so is $X_\alpha $?
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7
Density of $C^\infty(\mathbb{R}^n)$ in $C^0(\mathbb{R}^n)$
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7
Comparing different topologies on the Hilbert cube $H = \prod_{n \in \mathbb{N}} [0,\frac 1n]$
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7
In a Hausdorff space the intersection of a chain of compact connected subspaces is compact and connected
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7
Let $(X,\mathcal M, \mu)$ be a measure space, and $\mu_0$ the semifinite part of $\mu$. Show that there is a measure $\nu$ such that $\mu=\mu_0+\nu$.
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6
Show that a countable dense subset $D \subset X$ is not a $G_{\delta}$
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6
Borel $\sigma$-algebra of continuous functions
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