Publications for year 2016

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Wednesday, 31 August, 2016
François Demoures, François Gay-Balmaz, Tudor S. Ratiu

This paper develops the theory of multisymplectic variational integrators for nonsmooth continuum mechanics with constraints. Typical problems are the impact of an elastic body on a rigid plate...

Forum Mathematics, Sigma, Vol4 2016
Wednesday, 24 August, 2016
Rahul Pandharipande, Qizheng Yin

We study the interplay of the moduli of curves and the moduli of K3 surfaces via the virtual class of the moduli spaces of stable maps. Using Getzler's relation in genus 1, we construct a...

arXiv:1607.08758
Wednesday, 24 August, 2016
Hugo Duminil-Copin, Marcelo R. Hilario, Gady Kozma, Vladas Sidoravicius

We study bond percolation on the square lattice with one-dimensional inhomogeneities. Inhomogeneities are introduced in the following way: A vertical column on the square lattice is the set of...

arXiv:1608.04963
Tuesday, 23 August, 2016
Alberto S. Cattaneo

This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds and...

arXiv:1608.06576
Thursday, 18 August, 2016
Marcello Porta, Simone Rademacher, Chiara Saffirio, Benjamin Schlein

We study the many body Schr\"odinger evolution of weakly coupled fermions interacting through a Coulomb potential. We are interested in a joint mean field and semiclassical scaling, that emerges...

arXiv:1608.05268
Wednesday, 17 August, 2016
Joao Penedones

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We...

arXiv:1608.04948
Friday, 12 August, 2016
Grigory Mikhalkin, Stepan Orevkov

The paper gives topological as well as rigid isotopy classification of smooth irreducible algebraic curves in the real projective 3-space for the case when the degree of the curve is at most six...

arXiv:1608.03648
Wednesday, 10 August, 2016
Tsvi Tlusty, Albert Libchaber, Jean-Pierre Eckmann

We treat proteins as amorphous learning matter: A `gene' encodes bonds in an `amino acid' network making a `protein'. The gene is evolved until the network forms a shear band across the protein...

arXiv:1608.03145
Tuesday, 9 August, 2016
Marcos Marino, Vasily Pestun, Maxim Zabzine, and 17 others

This is the foreword to the special volume on localization techniques in quantum field theory. We summarize the individual chapters and their relation.

arXiv:1608.02952
Tuesday, 9 August, 2016
Marcos Marino

We review some exact results for the matrix models appearing in the localization of Chern-Simons-matter theories, focusing on the structure of non-perturbative effects and onthe M-theory...

arXiv:1608.02959
Monday, 8 August, 2016
John Gough, Tudor S. Ratiu, Oleg G. Smolyanov

In this communication, we show that both infinite-dimensional versions of Noether's theorems, and the explanation of quantum anomalies can be obtained using similar formulas for the derivatives...

arXiv:1608.02366
Monday, 1 August, 2016
Gregory A. Chechkin, Tatiana P. Chechkina, Tudor S. Ratiu, Maksim S. Romanov

We study the homogenization problem for the system of equations of dynamics of a mixture of liquid crystals with random structure. We consider a simplified form of the Ericksen–Leslie equations...

Applicable Analysis, An International Journal, Vol 95 2016,

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