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Let A be an abelian variety over a number field F and A_ its dual. B. Birch and P. Swinnerton-Dyer, interested in defining the Tamagawa number  (A) of A, were led to their celebrated c...
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
Let M be a cg-connected manifold. Let L be a second-order differential operator with real cg(R) coefficients on M and such that L1 0 (i.e., L has no zero-order term). Assume that there exists a posi...
We consider the group lasso penalty for the linear model. We note that the standard algorithm for solving the problem assumes that the model matrices in each group are orthonormal. Here we consider a ...
Let A be an algebra over a field k. If M is an A–bimodule, we let MA and MA denote respectively the k–spaces of invariants and coinvariants of M, and 'M : MA ! MA be the natural map. In this note w...
It is shown that robust stability and robust performance questions for control systems with nonparametric uncertainties can be turned into those with a particularly simple parametric description. It i...
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subjec...
Dynamics of concentrated polymer solutions are modeled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high i...
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
Green and Ruzsa recently proved that for any $s\ge2$, any small squaring set $A$ in a (multiplicative) abelian group, i.e. $|A\cdot A|
By studying modular invariance properties of some characteristic forms, we prove some new anomaly cancellation formulas which generalize the Han-Zhang and Han-Liu-Zhang anomaly cancellation formulasKe...
T. Coulhon introduced an interesting parametrization of Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
Given a homotopy equivalence f between two topological spaces we obtain an explicit formula for a strong deformation retraction of the mapping cylinder of f onto its top.
We give a new proof of the theorem stating that for any connected linear algebraic group G over an algebraically closed field k of characteristic 0 and for any closed connected subgroup H of G, the un...
Let $v(n)$ be the minimum number of voters with transitive preferences which are needed to generate any strong preference pattern (ties not allowed) on $n$ candidates. Let $k=\lfloor \log_2 n\rfloor$....

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