We relate the planar random current representation introduced by Griffiths, Hurst and Sherman to the dimer model. More precisely, we provide a measure-preserving map between double random...
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Wednesday, 6 December, 2017
arXiv:1712.02305
Wednesday, 6 December, 2017
Let S be a nonsingular projective K-trivial surface, and let V be a vector bundle on S of rank s. We calculate the top Segre class of the tautological bundle over the Hilbert scheme of n points...
arXiv:1712.02382
Sunday, 3 December, 2017
We study dephasing in an electronic Mach-Zehnder (MZ) interferometer based on quantum Hall (QH) edge states by a micromiter-sized Ohmic contact embedded in one of its arms. We find that at the...
arXiv:1712.00824
Thursday, 30 November, 2017
We compute a general expression for the contribution of vector perturbations to the redshift-space distortion of galaxy surveys. We show that they contribute to the same multipoles of the...
arXiv:1712.00052
Monday, 20 November, 2017
The affine Yangian of \mathfrak{gl}_1 is known to be isomorphic to {\cal W}_{1+\infty}, the W-algebra that characterizes the bosonic higher spin -- CFT duality. In this paper we propose defining...
arXiv:1711.07449
Tuesday, 7 November, 2017
We show that the canonical random-cluster measure associated to isoradial graphs is critical for all q \geq 1. Additionally, we prove that the phase transition of the model is of the same type...
arXiv:1711.02338
Monday, 6 November, 2017
We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond...
arXiv:1711.02108
Tuesday, 31 October, 2017
The Drude weight is a central quantity for the transport properties of quantum spin chains. The canonical definition of Drude weight is directly related to Kubo formula of conductivity. However...
arXiv:1710.11621
Monday, 30 October, 2017
We study metastable motions in weakly damped Hamiltonian systems. These are believed to inhibit the transport of energy through Hamiltonian, or nearly Hamiltonian, systems with many degrees of...
arXiv:1710.10999
Thursday, 26 October, 2017
We consider a system of N bosons interacting through a singular two-body potential scaling with N and having the form N^{3\beta-1} V (N^\beta x), for an arbitrary parameter \beta \in (0,1). We...
arXiv:1710.09743
Thursday, 19 October, 2017
In an earlier paper, we proved the validity of large deviations theory for the particle approximation of quite general chemical reaction networks (CRNs). In this paper, we present a more...
arXiv:1710.07240
Wednesday, 11 October, 2017
This paper initiates the study of semitoric integrable systems with two degrees of freedom and with proper momentum-energy map, but with possibly nonproper S 1-momentum map. This class of...
Nonlinearity, Volume 30, Number 11