The geometry of Cantor systems associated with an asymptotically non-hyperbolic family (f )0≤ ≤ 0 was studied by Jiang (Geometry of Cantor systems. Trans. Amer. Math. Soc. 351 (1999), 1975–1987). By applying the geometry studied there, we prove that the Hausdorff dimension of the maximal invariant set of f behaves like 1−K 1/γ asymptotically, as was conjectured by Jiang (Generalized Ulam–von Ne...

Asymptotically nonlocal field theories interpolate between Lee-Wick with multiple propagator poles, and ghost-free theories. Previous work on asymptotically scalar, Abelian, non-Abelian gauge has demonstrated the existence of an emergent regulator scale that is hierarchically smaller than lightest partner, in a limit where spectrum becomes dense decoupled. We generalize this construction to lin...

We prove non–existence of static, vacuum, appropriately regular, asymptotically flat black hole space–times with degenerate (not necessarily connected) components of the event horizon. This finishes the classification of static, vacuum, asymptotically flat domains of outer communication in an appropriate class of space–times, showing that the domains of outer communication of the Schwarzschild ...

In his famous paper [7] Gersho stressed that the codecells of optimal quantizers asymptotically make an equal contribution to the distortion of the quantizer. Motivated by this fact, we investigate in this paper quantizers in the scalar case, where each codecell contributes with exactly the same portion to the quantization error. We show that such quantizers of Gersho type or Gersho quantizers ...

We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. As applications of our main theorems, we obtain the results on the asymptotic behavior and ergodicity for a commutative semigroup of non-Lips...

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The noscalar-hair theorems, however, do not apply in the case of non-linear electrodynamics. In the present work numerical solutions describing charged black holes cou...

Summary We present a new method for causal discovery in linear structural equation models. propose simple technique based on statistical testing models that can distinguish between ancestors and non-ancestors of any given variable. Naturally, this approach then be extended to estimating the order among all variables. provide explicit error control false discovery, at least asymptotically. This ...

The explicit construction of function fields tower with many rational points relative to the genus in the tower play a key role for the construction of asymptotically good algebraic-geometric codes. In 1997 Garcia, Stichtenoth and Thomas [6] exhibited two recursive asymptotically good Kummer towers over any non-prime field. Wulftange determined the limit of one tower in his PhD thesis [13]. In ...