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This tag is used if a reference is needed in a paper or textbook on a specific result.
5
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0
answers
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Prerequisites for reading Gregory Perelman's work
What are the prerequisites for understanding the work of Perelman concerning the Poincaré conjecture?
I am referring to the last three papers here.
4
votes
2
answers
917
views
Learning German and Russian for reading old mathematical papers in these languages [closed]
Which books do you recommend me to read for learning German and Russian for the sole purpose of reading mathematical papers that were written in these languages?
I believe that such a skill will be w …
3
votes
1
answer
170
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Translation to English of Brillouin's analysis of Airy's integral
I am trying to read the following paper by Leon Brillouin (the part on page 16 onwards):
Léon Brillouin, Sur une méthode de calcul approchée de certaines intégrales dite méthode du col, Annales sc …
3
votes
1
answer
610
views
Searching for the proof of a certain claim in Arnold's ODE book from 1992
I was reading today the book of Stephen Wiggins called "Global Bifurcations and Chaos" (the 1988 edition).
On pages 12-13 he writes the following:
Consider the following ordinary differential equatio …
2
votes
1
answer
216
views
A question from Zeitouni's Introduction to Random Matrices
I have a question regarding exercise 2.1.5 on page 19 in this book:
http://www.wisdom.weizmann.ac.il/~zeitouni/cupbook.pdf
I would like a reference or help on this exercise.
The exercise asks the fo …
2
votes
2
answers
211
views
Caratheodory equations
Ok, I am reading Fillipov book on discontinuous right hand side differential equations (the red book).
He states the next lemma:
"
Let the function $f(t,x)$ satisfy the Caratheodory conditions and le …
2
votes
1
answer
84
views
Looking for a theorem that says that the embedding $H^{1-\sigma}(M)\subset C^1(M)$ is compac...
I am Looking for a theorem that says that the embedding $H^{1-\sigma}(M)\subset C^1(M)$ is compact for $\sigma \in (0,1)$, where $M$ is a compact manifold.
Any references are appreciated.
PS
I am al …
1
vote
0
answers
101
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Suggestion for books in Pertubation theory with an emphasis on the theory
As the title suggest I am looking for another good coverage of the theory of Pertubation theory.
Currently I am working through Murodock's book: Pertubations: Theory and Methods.
But I am rest assure …
1
vote
1
answer
116
views
A reference on a proof of some proposition in Random Matrix Theory
I am looking for a reference for a proof of the following claim:
Assume that there exist constants $a>0, C$, where the independent entries of a Wigner matrix, $\{ X_N(i,j)\}_{1\le i\le j\le N}$ sa …
1
vote
1
answer
54
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Searching for a reference on Wishart matrices
Do you happen to know a reference for exercise 2.1.18 from page 20 of Zeitouni's et al textbook:
http://www.wisdom.weizmann.ac.il/~zeitouni/cupbook.pdf
?
0
votes
1
answer
879
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Sufficient and necessary condition for BIBO stability
I am looking for a reference for the proof of the next claim:
"BIBO—bounded input bounded output—stability.
We claim that a necessary and sufficient condition for a system described
by a linear, cons …
0
votes
0
answers
109
views
Proof that Markov shift is pointwise dual ergodic
I am looking for a reference of the proof that a Markov shift is pointwise dual ergodic, I tried google it but with no success.
0
votes
References on Riemann surfaces
You should try:
http://matrixeditions.com/
http://matrixeditions.com/#Teich1
http://matrixeditions.com/#Teich2
In the future hopefully there will be volumes 3 and 4.
Best regards!