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153
On the validity of the Boltzmann equation for short range potentials
"... ABSTRACT. We consider a classical system of point particles interacting by means of a short range potential. We prove that, in the low–density (Boltzmann–Grad) limit, the system behaves, for short times, as predicted by the associated Boltzmann equation. This is a revisitation and an extension of th ..."
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of the thesis of King [9] (appeared after the well known result of Lanford [10] for hard spheres) and of a recent paper by Gallagher et al [5]. Our analysis applies to any stable and smooth potential. In the case of repulsive potentials
1NonInvertible Gabor Transforms
"... Timefrequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such representations is often directly related to the computational load of any algorithm operating in the transform domain. To reduce complexity, it may be desirab ..."
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the same Gabor representation as the input signal. The second, is based on the minimization of a worstcase error criterion. Last, we develop a recovery technique based on the assumption that the input signal lies in some subspace of L2. We show that for each of the criteria, the manipulation
NOTATION Cijkl incremental stress–strain tensor H Hamiltonian + Lagrangian
"... Hamilton equation based symplectic nite element ..."
0 QUANTITATIVE UNIFORM IN TIME CHAOS PROPAGATION FOR BOLTZMANN COLLISION PROCESSES
, 2010
"... ar ..."
DOI:10.1017/S0013091505001203 Printed in the United Kingdom ON THE REGULARITY CONJECTURE FOR THE COHOMOLOGY OF FINITE GROUPS
, 2005
"... Abstract Let K be a field of characteristic p and let G be a finite group of order divisible by p. The regularity conjecture states that the Castelnuovo–Mumford regularity of the cohomology ring H∗(G,K) is always equal to 0. We prove that if the regularity conjecture holds for a finite group H, then ..."
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of the cohomology ring is large. If this difference is at most 2, the regularity conjecture is already known to hold by previous work. For more general wreath products, we have not managed to prove the regularity conjecture. Instead we prove a weaker statement: namely, that the dimensions of the cohomology groups
Finding Small Roots of Bivariate Integer Polynomial Equations: a Direct Approach
"... Abstract. Coppersmith described at Eurocrypt 96 an algorithm for nding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later proposed in [9], but it was asymptotically less ecient than Coppersmith's algorithm. In this paper, we describe ..."
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Abstract. Coppersmith described at Eurocrypt 96 an algorithm for nding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later proposed in [9], but it was asymptotically less ecient than Coppersmith's algorithm. In this paper, we
Nuclear Physics B Proceedings Supplement – preprint (2014) 1–42 Nuclear Physics B Proceedings Supplement Universal Aspects of QCDlike TheoriesI
"... In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCDlike theories. As an example for flavor dynamics I discuss a quarkhadron model to describe th ..."
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In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCDlike theories. As an example for flavor dynamics I discuss a quarkhadron model to describe
Chains of large gaps between consecutive primes
 Adv. in Math
, 1981
"... ABSTRACT. Let G(x) denote the largest gap between consecutive grimes below x, In a series of papers from 1935 to 1963, Erdos, Rankin, and Schonhage showed that G(x):::: (c + o ( I)) logx loglogx log log log 10gx(loglog logx)2, where c = eY and y is Euler's constant. Here, this result is shown ..."
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Cited by 23 (3 self)
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with c = coe Y where Co = 1.31256... is the solution of the equation 4 / Co e4/co = 3. The principal new tool used is a result of independent interest, namely, a mean value theorem for generalized twin primes lying in a residue class with a large modulus. 1.
Results 11  20
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153