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Wednesday, 18 November, 2015
Erwin Bolthausen, Wolfgang Koenig, Chiranjib Mukherjee

We consider mean-field interactions corresponding to Gibbs measures on interacting Brownian paths in three dimensions. The interaction is self-attractive and is given by a singular Coulomb...

arXiv:1511.05921
Tuesday, 17 November, 2015
Titus Lupu, Wendelin Werner

We make a few elementary observations that relate directly the items mentioned in the title. In particular, we note that when one superimposes the random current model related to the Ising model...

arXiv:1511.05524
Monday, 16 November, 2015
Lyle Noakes, Tudor S. Ratiu

Bi-Jacobi fields are generalized Jacobi fields, and are used to efficiently compute approximations to Riemannian cubic splines in a Riemannian manifold M. Calculating bi-Jacobi fields is...

Communications in Mathematical Sciences, Vol 14, No 1
Monday, 9 November, 2015
Yasuyuki Hatsuda, Marcos Marino

Inspired by recent connections between spectral theory and topological string theory, we propose exact quantization conditions for the relativistic Toda lattice of N particles. These conditions...

arXiv:1511.02860
Thursday, 5 November, 2015
David E. Kaplan, Riccardo Rattazzi

We present a renormalizable theory of scalars in which the low energy effective theory contains a pseudo-Goldstone Boson with a compact field space of 2{\pi} F and an approximate discrete shift...

arXiv:1511.01827
Wednesday, 28 October, 2015
Slava Rychkov, Pierre Yvernay

We show how to refine conformal block expansion convergence estimates from hep-th/1208.6449. In doing so we find a novel explicit formula for the 3d...

arXiv:1510.08486
Wednesday, 14 October, 2015
Enea Di Dio, Ruth Durrer, Giovanni Marozzi, Francesco Montanari

Starting from the relativistic galaxy number counts to second order in cosmological perturbation theory which we have determined in a previous paper, we discuss the dominant terms on sub-Hubble...

arXiv:1510.04202
Sunday, 11 October, 2015
Rinat Kashaev

Starting from a quantum dilogarithm over a Pontryagin self-dual LCA group A, we construct an operator solution of the Yang-Baxter equation generalizing the solution of the Faddeev-Volkov model....

arXiv:1510.03043
Tuesday, 6 October, 2015
Julian Adamek, Ruth Durrer, Vittorio Tansella

We compute the angular power spectra of the E-type and B-type lensing potentials for gravitational waves from inflation and for tensor perturbations induced by scalar perturbations. We derive...

arXiv:1510.01566
Tuesday, 29 September, 2015
Antti Kemppainen, Stanislav Smirnov

In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at criticality, as the lattice mesh tends to zero, to a unique conformally invariant scaling limit...

arXiv:1509.08858
Tuesday, 29 September, 2015
Tudor S. Ratiu, Daisuke Tarama

A natural extension of the free rigid body dynamics to the unitary group U(n) is considered. The dynamics is described by the Euler equation on the Lie algebra u(n), which has a bi-Hamiltonian...

Journ. Diff. Equ., Volume 259, Issue 12
Thursday, 24 September, 2015
Daniel Friedan, Christoph A. Keller

Holomorphic fields play an important role in 2d conformal field theory. We generalize them to d>2 by introducing the notion of Cauchy conformal fields, which satisfy a first order...

arXiv:1509.07475

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