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The purpose of the present paper is to establish moderate deviation principles for a rather general class of random variables fulfilling certain bounds of the cumulants. We apply a celebrated lemma of...
In [3] we have introduced the notion of covering projection on a general topos E. These are locally constant objects with an additional property.
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(bgl3) is given.This result is obtained in the f...
We prove an algebraic formula, conjectured by M. Kontsevich, for com-puting the monodromy of the vanishing cycles of a regular function on a smooth complex algebraic variety.
There have been several approaches to the problem of provisioning traffic engineering between core network nodes in Internet Service Provider (ISP) networks.
This expository essay discusses a finite dimensional approach to dilation theory. How much of dilation theory can be worked out within the realm of linear algebra? It turns out that some interesting a...
We give a simple generalisation of a theorem of Morita [6, 7], which leads to a great number of relations among tautological classes on moduli spaces of curves.
We prove a Lefschetz duality result for intersection homology. Usually, this result applies to pseudomanifolds with boundary which are assumed to have a ”collared neighborhood of their boundary”. Our ...
We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell’s renewal theorem we find an approximation to the generalized Fibonacci n...
This paper is devoted to the pricing of Barrier options by optimal quadratic quantization method. From a known useful representation of the premium of barrier options one deduces an algorithm simila...
Square Trisection      Square Trisection        2011/1/18
A square trisection is a problem of assembling three identical squares from a larger square, using a minimal number of pieces. This paper presents an historical overview of the square trisection prob...
We construct examples of pseudo-bosons in two dimensions arising from the Hamiltonian for the Landau levels. We also prove a no-go result showing that non-linear combinations of bosonic creation and a...
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the o...
The effects induced by long temporal correlations of the velocity gradients on the dynamics of a flexible polymer are investigated by means of theoretical and numerical analysis of the Hookean and FE...
We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points.In particular, by applying classical deformation theory we obt...

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