We present a theory of the entanglement transition tuned by measurement strength in qudit
chains evolved by random unitary circuits and subject to either weak or random projective …

Every compact topological group supports a unique translation invariant probability measure
on its Borel sets—the Haar measure. The Haar measure was first constructed for certain …

In this article, we prove that the complex convergence of the HCIZ free energy is equivalent
to the non-vanishing of the HCIZ integral in a neighbourhood of z= 0. Our approach is based …

Consider the n! different unitary matrices that permute nd-dimensional quantum systems. If
d≥ n then they are linearly independent. This paper discusses a sense in which they are …

We study a-deformation of monotone Hurwitz numbers, obtained by deforming Schur
functions into Jack symmetric functions. We give an evolution equation for this model and …

We study Wilson loop expectations in lattice Yang-Mills models with a compact Lie group $
G $. Using tools recently introduced in a companion paper, we provide alternate derivations …

We consider the problem of computing the integral $$\int_ {\mathcal {U}(d)} u_ {i_1j_1}\cdots
u_ {i_nj_n}\bar {u} _ {i'_1j'_1}\cdots\bar {u} _ {i'_ {n'} j'_ {n'}} dU, $$ where the integration …

We propose a new strategy to evaluate the partition function of lattice QCD with Wilson
gauge action coupled to staggered fermions, based on a strong coupling expansion in the …

We introduce the notion of fully simple maps, which are maps with non self-intersecting
disjoint boundaries. In contrast, maps where such a restriction is not imposed are called …

In this paper, we study the relationship between polynomial integrals on the unitary group
and the conjugacy class expansion of symmetric functions in Jucys–Murphy elements. Our …