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This tag is used if a reference is needed in a paper or textbook on a specific result.

5 votes
0 answers
1k views

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.
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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 …
Alan's user avatar
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3 votes
1 answer
170 views

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 …
Alan's user avatar
  • 1,594
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 …
Alan's user avatar
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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 …
Alan's user avatar
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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 …
Alan's user avatar
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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 …
Alan's user avatar
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1 vote
0 answers
101 views

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 …
Alan's user avatar
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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 …
Alan's user avatar
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1 vote
1 answer
54 views

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 ?
Alan's user avatar
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0 votes
1 answer
879 views

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 …
Alan's user avatar
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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.
Alan's user avatar
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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!
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