Zobrazeno 1 - 10
of 908
pro vyhledávání: '"58J65"'
We discuss certain random walks on discrete groups of isometries of hyperbolic spaces and their Martin boundaries.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2408.13887
Autor:
Suri, Ali
This paper explores the application of central extensions of Lie groups and Lie algebras to derive the viscous quasi-geostrophic (QGS) equations, with and without Rayleigh friction term, on the torus as critical points of a stochastic Lagrangian. We
Externí odkaz:
http://arxiv.org/abs/2408.06159
Autor:
Galkin, Artem, Mariani, Mauro
We investigate the asymptotic behavior, in the long time limit, of the random homology associated to realizations of stochastic diffusion processes on a compact Riemannian manifold. In particular a rigidity result is established: if the rate is quadr
Externí odkaz:
http://arxiv.org/abs/2406.17683
Autor:
Nguyen, Du, Sommer, Stefan
We specify the conditions when a manifold M embedded in an inner product space E is an invariant manifold of a stochastic differential equation (SDE) on E, linking it with the notion of second-order differential operators on M. When M is given a Riem
Externí odkaz:
http://arxiv.org/abs/2406.02879
Autor:
Caprio, Michele
We introduce the concept of an imprecise Markov semigroup $\mathbf{Q}$. It is a tool that allows to represent ambiguity around both the initial and the transition probabilities of a Markov process via a compact collection of plausible Markov semigrou
Externí odkaz:
http://arxiv.org/abs/2405.00081
Autor:
Khan, Gabriel, Tuerkoen, Malik
The fundamental gap is the difference between the first two Dirichlet eigenvalues of a Schr\"odinger operator (and the Laplacian, in particular). For horoconvex domains in hyperbolic space, Nguyen, Stancu and Wei conjectured that it is possible to ob
Externí odkaz:
http://arxiv.org/abs/2404.15645
Simulation of conditioned diffusion processes is an essential tool in inference for stochastic processes, data imputation, generative modelling, and geometric statistics. Whilst simulating diffusion bridge processes is already difficult on Euclidean
Externí odkaz:
http://arxiv.org/abs/2404.15258
By introducing a more flexible notion of convexity, we obtain a new Omori-Yau maximum principle for harmonic maps. In the spirit of the Calabi-Yau conjectures, this principle is more suitable for studying the unboundedness of certain totally geodesic
Externí odkaz:
http://arxiv.org/abs/2404.08781
Autor:
Baumgarth, Robert
On a smooth (not necessarily compact) manifold $M$ equipped with a $\sf C^1$-family of complete Riemannian metrics $g(t)$ and a $\sf C^{1,\infty}$-family of vector fields $Z(t)$ both indexed by the real interval $[0,T)$ where $T \in (0,\infty]$, we p
Externí odkaz:
http://arxiv.org/abs/2403.03209
Autor:
Carmona, René, Zeng, Claire
Recently, a deep-learning algorithm referred to as Deep Galerkin Method (DGM), has gained a lot of attention among those trying to solve numerically Mean Field Games with finite horizon, even if the performance seems to be decreasing significantly wi
Externí odkaz:
http://arxiv.org/abs/2402.18725