## The Santa Barbara Physicist (to the tune of The Modern Major General, with apologies to Gilbert & Sullivan)

Published in Journal of Statistical Physics

Published in Journal of Statistical Physics

Published in Communications in Mathematical Physics

The totally asymmetric simple exclusion process (TASEP) on the one-dimensional lattice with the Bernoulli ρ measure as initial conditions, 0

Published in Communications in Mathematical Physics

Let Bt,0≤t≤1 be a planar Brownian loop (a Brownian motion conditioned so that B0=B1). We consider the compact hull obtained by filling in all the holes, i.e. the complement of the unique unbounded component of \B[0,1]. We show that the expected area of this hull is π/5. The proof uses, perhaps not surprisingly, the Schramm Loewner Evolution (SLE). ...

Published in Communications in Mathematical Physics

We recall the outline of the Seely-Singer-Witten construction of the virtual class on the moduli of stable r-spin curves. We prove that the obtained classes satisfy the axioms of Jarvis-Kimura-Vaintrob.

Published in Communications in Mathematical Physics

In this paper, we consider the Frenkel-Kontorova model of a one dimensional chain of atoms submitted to a potential. This potential splits into an interaction potential and a potential induced by an underlying substrate which is a quasicrystal. Under standard hypotheses, we show that every minimal configuration has a rotation number, that the rotat...

Published in Communications in Mathematical Physics

We consider the time evolution of a disk under the action of a constant force and interacting with a free gas in the mean-field approximation. Letting V0>0 be the initial velocity of the disk and V∞>0 its equilibrium velocity, namely the one for which the external field is balanced by the friction force exerted by the background, we show that, if V...

Published in Communications in Mathematical Physics

We prove that the 2-hermitian matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber type integrals over the unitary group. Integrals over U(n) are rewritten as gaussian integrals over triangular matrices and then computed explicitly. That formula is an efficient alternative ...

Published in Communications in Mathematical Physics

In this paper, we initiate the study of C*-algebras endowed with a twisted action of a locally compact abelian Lie group , and we construct a twisted crossed product , which is in general a nonassociative, noncommutative, algebra. The duality properties of this twisted crossed product algebra are studied in detail, and are applied to T-duality in T...

Published in Communications in Mathematical Physics

We develop a vertex formalism for topological string amplitudes on ruled surfaces with an arbitrary number of reducible fibers embedded in a Calabi-Yau threefold. Our construction is based on large N duality and localization with respect to a degenerate torus action. We also discuss potential generalizations of our formalism to a broader class of C...

Published in Communications in Mathematical Physics

We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS5×S5. For any solution of the equations of motion we derive a spectral curve of degree 4+4. The curve consists purely of conserved quantities, all gauge degrees of freedom have been eliminated in this form. The most relevant quantities of the solution, such as i...