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- Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio, Claudio Landim
- Physical review letters
- 2001

We formulate a dynamical fluctuation theory for stationary nonequilibrium states (SNS) which covers situations in a nonlinear hydrodynamic regime and is verified explicitly in stochastic models ofâ€¦ (More)

- Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio, Claudio Landim
- Physical review letters
- 2005

We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach for density fluctuations developed in previous articles. More precisely, we establish a largeâ€¦ (More)

In Section 1 we review various equivalent definitions of a vertex algebra V . The main novelty here is the definition in terms of an indefinite integral of the Î»-bracket. In Section 2 we construct,â€¦ (More)

We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson vertex algebras in one differential variable (= scalar Hamiltonian operators). Transformation Groups 15â€¦ (More)

We present a review of recent work on the statistical mechanics of non equilibrium processes based on the analysis of large deviations properties of microscopic systems. Stochastic lattice gases areâ€¦ (More)

We study current fluctuations in lattice gases in the hydrodynamic scaling limit. More precisely, we prove a large deviation principle for the empirical current in the symmetric simple exclusionâ€¦ (More)

We introduce the notion of a nonâ€“linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertexâ€¦ (More)

We classify the subalgebras of the general Lie conformal algebra gcN that act irreducibly on C[âˆ‚] and that are normalized by the sl2â€“part of a Virasoro element. The problem turns out to be closelyâ€¦ (More)

- Alberto De Sole, Pedram Hekmati, Victor G. Kac
- 2013

We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [DSK]. A special case ofâ€¦ (More)

Dedicated to Corrado De Concini on his 60-th birthday. Abstract We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads toâ€¦ (More)