3 citations · 6 across the 3 of their papers we have counts for
3 papers · 1 filter
Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree
Leandro Chiarini, Alessandra Cipriani, Alan Rapoport +1
In this paper we rigorously construct a finite volume representation for the height-one field of the Abelian sandpile model and the degree field of the uniform spanning tree in ter…
A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip
Alberto Chiarini, Alessandra Cipriani
In this note we derive an exact formula for the Green's function of the random walk on different subspaces of the discrete lattice (orthants, including the half space, and the stri…
Decay of Correlations for Quantum Spin Systems with a Transverse Field: A Dynamic Approach
Alessandra Cipriani, Paolo Dai Pra
We consider a wide class of quantum spin systems obtained by adding a transverse field to a classical Hamiltonian. We give explicit high-temperature conditions which guarantee expo…