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20022009
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

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Showing 2008 · math.PRShow all

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math.PR2008★ 9 cited

Random walk weakly attracted to a wall

Joël De Coninck, François Dunlop, Thierry Huillet

We consider a random walk X_n in Z_+, starting at X_0=x>= 0, with transition probabilities P(X_{n+1}=X_n+1|X_n=y>=1)=1/2-δ/(4y+2δ) P(X_{n+1}=X_n+1|X_n=y>=1)=1/2+δ/(4y+2δ) and X_{n+…

math.PR2008

On the singularity of random matrices with independent entries

Laurent Bruneau, Francois Germinet

We consider n by n real matrices whose entries are non-degenerate random variables that are independent but non necessarily identically distributed, and show that the probability t…