# Tagged Questions

**2**

votes

**1**answer

417 views

### Mandelbrot and “log-derivative”

I am reading Mandelbrot, and stubling upon his use of the limit ("almost a HÃ¶lder exponent")
\lim_{\epsilon -> 0} log(f(x+\epsilon) - f(x))/log(\epsilon).
To simplify, lets assume that f is ...

**7**

votes

**2**answers

498 views

### local behavior of a finite Borel measure

Let $\mu$ be a finite Borel measure on $\mathbb{R}^n$. I am interested in how does $\mu(B(x,r))$ behave, where $B(x,r)$ is the open ball of radius $r$ centered at $x$. For instance, as far as I ...

**5**

votes

**2**answers

564 views

### A calculus question related to quantization dimension

Going through some old papers, I came up with a simple-looking problem I thought about 5 years ago or so.
MO wants motivation ... Associated to a probability measure on a metric space is something ...

**3**

votes

**2**answers

361 views

### Systematization of deterministic and stochastic integrals

With this question I try to build up a systematization of different kinds of integrals. The following table differentiates between deterministic and stochastic integrals, the summation processes ...