Let be the mapping class group of a punctured oriented surface (where may be empty), and let be the kernel of the action of on . We prove that $\mathcal T_p(Σ, …
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5 results for “p-separation”
We answer a question of Aschenbrenner and Friedl regarding virtual -efficiency for 3-manifold groups. We then study conjugacy -separability and prove results for Fuchsian groups, Seifert fibre spaces and graph manifolds.
Develops a new framework for causal models on cyclic graphs, solving unique solvability issues.
problem Challenges in specifying unique probability distributions for cyclic functional causal models.
method Introduces a new probability rule and graph-separation property (p-separation) for cyclic fCMs.
result Proves p-separation is sound and complete for all consistent cyclic fCMs, recovering d-separation for DAGs.
Study timelike Ricci curvature bounds via optimal transport with Orlicz-type costs.
problem Characterize timelike Ricci curvature bounds.
method Optimal transport with Orlicz-type costs, convexity of relative entropy.
result Characterize timelike Ricci curvature lower bounds via convexity of relative entropy.
New framework for cyclic quantum causal models with graph separation property.
problem Understanding causal relationships in feedback processes and exotic scenarios.
method Introducing a robust probability rule and a novel graph-separation property, p-separation.
result Established graph-separation properties for all consistent cyclic causal models.