bio | website | |
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location | Jyväskylä | |
age | 27 | |
visits | member for | 2 years, 1 month |
seen | 21 hours ago | |
stats | profile views | 464 |
I am a post-doctoral researcher at University of Jyväskylä. My research interest is geometric function theory, analysis on metric spaces and metric geometry.
Oct 8 |
asked | Is this a “new” terminology in homology/cohomology theory? |
Oct 4 |
revised |
Metric properties of a quadratic differential at an essential singularity
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Oct 4 |
comment |
Metric properties of a quadratic differential at an essential singularity
To XieNie: I got your complain now. For a general discrete open mapping with infinite multiplicity, it might be the case that the set where $f$ is big is small. But here the mapping has nice regularity, in particular, the the $x$-part and $y$-part are harmonic, you do have the mean-value formula. This means that the attainced value from the great picard theorem should not have any difference. So it cannot happen the value $f$ is big has too small measure. |
Oct 2 |
comment |
Metric properties of a quadratic differential at an essential singularity
To Lasse Rempe-Gillien: $f$ cannot be small for an essential singularity, $f$ attains almost every value infinitely many times by the great Picard theorem. What one should keep in mind is that if $f$ does not grow very fast towards the singularity, then the singularity is removable. This fact is also true in higher dimensions as well. |
Oct 2 |
revised |
Metric properties of a quadratic differential at an essential singularity
deleted 65 characters in body |
Oct 1 |
revised |
Metric properties of a quadratic differential at an essential singularity
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Oct 1 |
answered | Metric properties of a quadratic differential at an essential singularity |
Sep 30 |
comment |
Gromov's list of 7 constructions in differential topology
I like this note, thanks! |
Sep 30 |
asked | Removable sets for simply connectedness of a differentiable manifold |
Sep 24 |
awarded | Autobiographer |
Sep 18 |
awarded | Yearling |
Sep 11 |
awarded | Custodian |
Sep 11 |
reviewed | Approve suggested edit on Does the following measurable Halmilton-Jacobian equation admit a Lipschitz solution? |
Sep 11 |
asked | Does the following measurable Halmilton-Jacobian equation admit a Lipschitz solution? |
Aug 7 |
accepted | On a.e. approximate differentiability of certain continuous real functions |
Aug 6 |
asked | On a.e. approximate differentiability of certain continuous real functions |
Jul 2 |
awarded | Curious |
Apr 30 |
comment |
Is this property equivalent to Lusin's property (N) for continuous functions?
Could you please point out which book of Saks you referred to? |
Apr 30 |
revised |
A question on density of Lipschitz functions in weighted Sobolev spaces
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Apr 30 |
comment |
A question on density of Lipschitz functions in weighted Sobolev spaces
Sorry for the confusion, I changed my notation to a more standard one. |