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...

# Publications

## Pages

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...

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...

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...

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...

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...

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...

Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots and links in RP^{3} which can be viewed as a first order Vassiliev invariant. In this paper we classify real...

Scrambling in interacting quantum systems out of equilibrium is particularly effective in the chaotic regime. Under time evolution, initially localized information is said to be scrambled as it...

We introduce a notion of weakly log-canonical Poisson structures on positive varieties with potentials. Such a Poisson structure is log-canonical up to terms dominated by the potential. To a...

We propose a class of {\rm AdS}_3/{\rm CFT}_2 dualities with N=(2,2) supersymmetry. These dualities relate string theory on {\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G} to marginal...

We prove that the K-theoretic Nekrasov instanton partition functions have a finite radius of convergence in the instanton counting parameter and are holomorphic functions of the Coulomb...