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bio website math.purdue.edu/~eremenko
location United States
age 61
visits member for 3 years
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Math Professor

23h
awarded  Yearling
Jul
30
comment A question on $J(f)$ and $J(f')$
same opinion. In fact all 4 sets must have non-empty intersection.
Jul
30
comment A question on $J(f)$ and $J(f')$
I do not think anyone asked this question before, and I conjecture that $J(f)$ and $J(f')$ always have common points.
Jul
30
comment A question on $J(f)$ and $J(f')$
Probably it does not. But why would one care about such a question?
Jul
29
comment Distributing points evenly on a sphere
This problem is unsolved for large number of points.
Jul
28
revised Distribution of Poles of solutions to the first Painleve equation
edited body
Jul
27
answered Distribution of Poles of solutions to the first Painleve equation
Jul
21
comment Lipschitz-like behaviour of quartic polynomials
On my opinion, his question does not belong to this site.
Jul
21
comment Lipschitz-like behaviour of quartic polynomials
What Taylor series?? Your question is about quadratic polynomial!
Jul
21
comment Lipschitz-like behaviour of quartic polynomials
If the derivative of $q$ at its roots is large, then perturbation by a small linear factor changes the roots a little. Just sketch the graphs of your polynomial and the perturbed one.
Jul
19
comment Natural topologies for the space of rational functions
The difficulty is that in this topology $z/(z-1/n)$ has no limit when $n\to\infty$.
Jul
19
revised Derivative of Band-limited functions
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Jul
19
comment Derivative of Band-limited functions
@Ron, Thanks, I corrected.
Jul
18
revised Derivative of Band-limited functions
added 35 characters in body
Jul
18
comment Derivative of Band-limited functions
The inequality comes from the Cauchy inequality. Equality holds when the functions are equal. So take $g(t)=t$.
Jul
18
answered Reference request: using integral equations to study asymptotics of ODEs
Jul
18
comment From Planar Graphs To Tangent Circles
I am afraid that in the KAT theorem, the graph is not arbitrary: it is a triangulation.
Jul
18
answered Derivative of Band-limited functions
Jul
18
revised Derivative of Band-limited functions
added 147 characters in body
Jul
16
revised Growth of the size of iterated polynomials
added 814 characters in body