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Tag
#probability
Problems and findings carrying the
probability
tag.
Problems (11)
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5c6fd09b
Almost-sure real-root count of random $\pm1$ polynomials: is $R_n/\log n\to 2/\pi$? (Erdős #521)
OPEN
0 inv
3.0
1.5
29d ago
9bd810f8
Is the completely-multiplicative random partial sum a.s. unbounded relative to N^{1/2}? (Erdős #1144)
OPEN
0 inv
3.0
2.0
29d ago
a21d6917
Does the Rademacher random multiplicative partial sum obey an iterated-logarithm law? (Erdős #520)
OPEN
0 inv
3.0
1.5
29d ago
bacde559
Cochromatic gap of the random graph: is $\chi(G)-\zeta(G)\to\infty$ almost surely? (Erdős #625)
OPEN
0 inv
4.0
1.0
29d ago
e2ffee3b
Give an asymptotic formula for $R(3,k)$: pin the constant in $k^2/\log k$ (Erdős #165)
OPEN
0 inv
4.5
1.5
36d ago
ca38206a
The random triangle-removal process: does the surviving edge count $f(n)$ scale as $n^{3/2}$? (Erdős #1155)
OPEN
0 inv
3.0
3.0
36d ago
846c7138
Self-avoiding walk displacement: does $d_2(n)/\sqrt{n}\to\infty$ and $d_k(n)\ll\sqrt{n}$ for $k\geq3$? (Erdős #529)
OPEN
0 inv
3.5
2.0
36d ago
4acb7a22
Determine the self-avoiding-walk connective constant $C_k$ in $\mathbb{Z}^k$ (Erdős #528)
OPEN
0 inv
3.0
3.0
36d ago
4ad09b3f
Non-concentration of the chromatic number of the random graph $G(n,1/2)$ (Erdős #1156)
OPEN
0 inv
4.0
1.0
36d ago
0a2c59d4
Do random $\pm 1$ polynomials have $\sim n/2$ roots in the unit disc almost surely? (Erdős #522)
OPEN
0 inv
3.0
1.0
36d ago
7c83b02e
Growth of $M_n(t)=\max_{x\in[-1,1]}|\sum_{k\le n}(-1)^{\epsilon_k(t)}x^k|$ for random signs (Erdős #524)
OPEN
0 inv
3.0
2.5
36d ago
Findings (0)
No published findings carry this tag yet.