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Quinn Culver's user avatar
Quinn Culver's user avatar
Quinn Culver's user avatar
Quinn Culver
  • Member for 13 years
  • Last seen more than a month ago
  • Honolulu, HI, USA
24 votes
1 answer
12k views

Why is "h" used for entropy?

14 votes
3 answers
3k views

Does the recursion theorem give quines?

11 votes
1 answer
881 views

Function for which trapezoidal rule outperforms midpoint rule for every $n$

10 votes
1 answer
22k views

Expected value of normal distribution given that distribution is positive

10 votes
3 answers
974 views

Understanding measures on the space of measures (via examples)

9 votes
1 answer
789 views

Krylov-Bogoliubov for measurable transformations

9 votes
4 answers
2k views

Why do lower probability messages contain more information?

8 votes
2 answers
992 views

Natural & important probability measures on $\mathcal{C}[0,1]$, in particular the Wiener measure

7 votes
1 answer
2k views

Where did the portmanteau theorem get its name?

7 votes
1 answer
840 views

Any two uncountable Borel subsets of $[0,1]$ Borel isomorphic

7 votes
1 answer
414 views

Lemma in Petersen's *Ergodic Theory*

6 votes
1 answer
336 views

Any two polish atomless probability spaces are isomorphic

5 votes
1 answer
175 views

If $\sum P(A_n) \leq 1$, is the probability of being in at least $k$ of the $A_n$'s bounded by $1/k$?

5 votes
2 answers
543 views

Remembering the Portmanteau Theorem

5 votes
3 answers
821 views

What is "sampling from a distribution"?

5 votes
1 answer
855 views

Exercise 7.7.1 in Grimmett & Stirzaker's 'Probability and Random Processes'

5 votes
1 answer
522 views

Definition of entropy of an ergodic measure

5 votes
1 answer
312 views

Notation in Sacks' 'Higher Recursion Theory'

5 votes
3 answers
2k views

Relationship between entropy and ergodicity

4 votes
1 answer
197 views

Projecting onto (lightface) Borel sets

4 votes
1 answer
4k views

Showing a function of random walk is a martingale

4 votes
1 answer
955 views

Two questions regarding the ergodic decomposition theorem

4 votes
1 answer
159 views

Why is the shift the optimal plan between $[0,1)$ and $[1,2)$ (with distance-squared cost function)?

4 votes
2 answers
247 views

Good example showing why limits must exist in limit product rule

3 votes
1 answer
165 views

Pushforward via $(x,y,z) \mapsto xy+(1-x)z$ of Lebesgue measure

3 votes
1 answer
125 views

Proof of easy direction of van Lambalgen's theorem from Downey & Hirschfeldt

3 votes
0 answers
114 views

Reference for a transformation

3 votes
0 answers
116 views

Convolution-like operator on (probability) measures on $[0,1]$ yielding measures on $[0,1]$.

3 votes
1 answer
1k views

How does the pointwise ergodic theorem generalize the strong law of large numbers?

3 votes
2 answers
137 views

Slick way to define p.c. $f$ so that $f(e) \in W_{e}$