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20032006
most citedTransportation cost-information inequalities and applications to random dynamical systems and diffusions

255 citations

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math-ph2003★ 1 cited

Binding energy for hydrogen-like atoms in the Nelson model without cutoffs

Christian Hainzl, Masao Hirokawa, Herbert Spohn

In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…

math.GR2003

Conjugacy in Artin groups and applications to the classification of surfaces

Eddy Godelle, Mina Teicher, Shmuel Kaplan

We show thatthe double reversing algorithm proposed by dehornoy for solving the word problem in the braid group can also be used to recognize the conjugates of powers of the genera…

math.FA2003

On Metric Completness and Completness in sense of Lattices

Serguei Samborski

We give an answer to the following question: for which metric in an abstract lattice the completion as a metric space coincides with the completion as a lattice. We obtain the answ…

math.OC2003

On Linearity of Nonclassical Differentiation

Serguei Samborski

We introduce a real vector space composed of set-valued maps on an open set X and note it by S. It is a complete metric space and a complete lattice. The set of continuous function…

math.GT2003

Braids in trivial braid diagrams

Patrick Dehornoy

We show that every trivial 3-strand braid diagram contains a disk, defined as a ribbon ending in opposed crossings. Under a convenient algebraic form, the result extends to every A…

math.AG2003

On the Deligne-Simpson problem and its weak version

Vladimir Petrov Kostov

We consider the {\em Deligne-Simpson problem (DSP) (resp. the weak DSP): Give necessary and sufficient conditions upon the choice of the conjugacy classes $c_j\subset gl(n,{\…