Brownian sheet and time inversion - From G-orbit to L(G)-orbit

The problem of deciding the existence of a SEPI from G to G’ is NP-complete, but show that when G is fixed, this problem can be decided in constant-time (hint: this

In particular I have choosen to keep the definition of g(A) the Kac-Moody Lie algebra associated to a generalised Cartan matrix A as the quotient of the Lie algebra e g(A) with

The common-sense theory of time in [1] uses a “meet” relation as a temporal primitive between intervals but it can only account for relations between self-connected intervals (a

We include a variety of results, including an inequality for the Laplacian of the distance function derived from a Jacobian com- parison theorem, a characterization of local time on

As application we present a gradient control formula for the heat equation over (M, g(t)) and a characterization of the Ricci flow in terms of the damped parallel transport.. To

When considering a 2D flat Earth model with constant gravity, the optimal control problem of passing from an initial configuration to some final configuration by minimizing the

We construct a sequence of Markov processes on the set of dom- inant weights of the Affine Lie algebra ˆ sl 2 (C) which involves tensor product of irreducible highest weight modules

In this paper we study a random walk on an affine building of type ˜ A r , whose radial part, when suitably normalized, converges toward the Brownian motion of the Weyl chamber..