… The current J μ need not be improved and we have (4.15) J 0 =2 M φ † φ, J a =φ∂ a φ † −φ …
We then recover the usual interpretation of J 0 as a probability density, J a as a probability …

This article is devoted to an extensive study of an infinite-dimensional Lie algebra $$\mathfrak{s}\mathfrak{v}$$
, introduced in [14] in the context of non-equilibrium statistical physics, …

We study in the present article the Kardar–Parisi–Zhang (KPZ) equation $$\begin{aligned} \partial
_t h(t,x)=\nu \Delta h(t,x)+\lambda |\nabla h(t,x)|^2 +\sqrt{D}\, \eta (t,x), \qquad (t,x)\in \…

The set of dynamic symmetries of the scalar free Schrödinger equation in d space dimensions
gives a realization of the Schrödinger algebra that may be extended into a representation …

This monograph provides the first up-to-date and self-contained presentation of a recently
discovered mathematical structure—the Schrödinger-Virasoro algebra. Just as Poincaré …

… The so-called polynomial fields Φ j , k and twisted polynomial fields Φ j , k α , j , k ∈ N , α ∈
… .5) as polynomials in the fields a, b , the Φ j , k α involving furthermore the vertex operator V α …

Finding optimal survival strategies of living systems embedded in fluctuating environments
generally involves a balance between phenotypic diversification and sensing. If we neglect …

By introducing an unconventional realization of the Poincaré algebra $\mathfrak{alt}_1$ of
special relativity as conformal transformations, we show how it may occur as a dynamical …

… If v = (v1,...,vJ ), J ≥ 1 is any totally disconnected subset of V(T) \ {0}, ie vi ↠ vj for all i, j = 1,...,
J, then we shall say that v is an admissible cut of T, and write v | V(T). We let LeavT (read: …

In this article, we give sharp bounds for the Euler discretization of the Lévy area associated
to a d-dimensional fractional Brownian motion. We show that there are three different …