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the internet peaked with allie brosh. it's been downhill ever since.. https://www.motherjones.com/media/2013/10/allie-brosh-hyperbole-half-book-depression/

Meet the creator of the cartoon blog (and new book) "Hyperbole and a Half"
Allie Brosh turns her childhood memories and struggles with depression into irresistable reading.

🇺🇦 #NowPlaying on KEXP's #Early
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Finite Index Rigidity of Relatively Hyperbolic Groups
Nir Lazarovich, Gon Rahamim, Alessandro Sisto
https://arxiv.org/abs/2509.04323 https://arxiv.org/pdf/…

Finite Index Rigidity of Relatively Hyperbolic Groups
We prove that, given a torsion-free relatively hyperbolic group G with non-relatively-hyperbolic peripherals, isomorphic finite index subgroups of G have the same index. This applies for instance to fundamental groups of finite-volume negatively curved manifolds, to limit groups, and to free-by-cyclic groups. More generally, we show that if two finite index subgroups of a relatively hyperbolic group are isomorphic via a map that respects their peripheral structures, then their indices in the am…

Is Tesla's directors dumb or the dumbest board of directors?
Tesla's board has to realize that musk is a boat anchor bringing the company down with hyperbolic bad choice piled on top of hyperbolic bad choice.
If Tesla wants to improve its position - whether measured by sales, balance sheet, income statement, or reputation it needs to drop that boat anchor and make its cars competitive against the increasingly large number of alternative, and often better, EVs from other m…

Elon Musk Could Become First Trillionaire Under New Tesla Pay Package
Tesla’s board unveiled a compensation package for the chief executive that could be worth $900 billion if he meets ambitious targets.

Monitoring Hyperproperties over Observed and Constructed Traces
Marek Chalupa, Thomas A. Henzinger, Ana Oliveira da Costa
https://arxiv.org/abs/2508.02301 https://

Monitoring Hyperproperties over Observed and Constructed Traces
We study the problem of monitoring at runtime whether a system fulfills a specification defined by a hyperproperty, such as linearizability or variants of non-interference. For this purpose, we introduce specifications with both passive and active quantification over traces. While passive trace quantifiers range over the traces that are observed, active trace quantifiers are instantiated with \emph{generator functions}, which are part of the specification. Generator functions enable the monitor…

Volume comparison on finite-volume hyperbolic 3-manifolds
Ruojing Jiang, Franco Vargas Pallete
https://arxiv.org/abs/2509.03566 https://arxiv.org/pdf/2509.…

Volume comparison on finite-volume hyperbolic 3-manifolds
On finite-volume hyperbolic $3$-manifolds, we compare volumes of different metrics using the exponential convergence of Ricci-DeTurck flow toward the hyperbolic metric $h_0$. We prove that among metrics with scalar curvature bounded below by $-6$, $h_0$ minimizes the volume. Moreover, for metrics that are either uniformly $C^2$-close to $h_0$ or asymptotically cusped of order at least two, equality holds if and only if the metric is isometric to $h_0$.

Robust stabilization of hyperbolic PDE-ODE systems via Neural Operator-approximated gain kernels
Kaijing Lyu, Umberto Biccari, Junmin Wang
https://arxiv.org/abs/2508.03242 https…

Robust stabilization of hyperbolic PDE-ODE systems via Neural Operator-approximated gain kernels
This paper investigates the mean square exponential stabilization problem for a class of coupled PDE-ODE systems with Markov jump parameters. The considered system consists of multiple coupled hyperbolic PDEs and a finite-dimensional ODE, where all system parameters evolve according to a homogeneous continuous-time Markov process. The control design is based on a backstepping approach. To address the computational complexity of solving kernel equations, a DeepONet framework is proposed to learn…

Hyperplane arrangements and Vinberg's $\theta$-groups
Filippo Ambrosio, Andrea Santi
https://arxiv.org/abs/2509.04284 https://arxiv.org/pdf/2509.04284

Hyperplane arrangements and Vinberg's $θ$-groups
Let $\mathfrak{g} = \bigoplus_{i \in \mathbb{Z} /m \mathbb{Z}} \mathfrak{g}_i$ be a periodically graded semisimple complex Lie algebra. In this note, we give a uniform proof of the recent result by W. de Graaf and H. V. Lê that the hyperplane arrangement determined by the restrictions of the roots of $\mathfrak{g}$ to a Cartan subspace $\mathfrak{c} \subset \mathfrak{g}_1$ coincides with the hyperplane arrangement of (complex) reflections of the little Weyl group of $\mathfrak{g} = \bigoplus_{…

Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
Huabin Ge, Bobo Hua, Hao Yu, Puchun Zhou
https://arxiv.org/abs/2506.05036

Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow
In his seminal work \cite{Ri96}, Rivin characterized finite ideal polyhedra in three-dimensional hyperbolic space. However, the characterization of infinite ideal polyhedra, as proposed by Rivin, has remained a long-standing open problem. In this paper, we introduce the combinatorial Ricci flow for infinite ideal circle patterns, a discrete analogue of Ricci flow on non-compact Riemannian manifolds, and prove a characterization of such circle patterns under certain combinatorial conditions. Our…

On automorphisms, quasimorphisms, and coarse automorphisms of acylindrically hyperbolic groups
Ashot Minasyan, Alessandro Sisto, Federico Vigolo
https://arxiv.org/abs/2509.04238

On automorphisms, quasimorphisms, and coarse automorphisms of acylindrically hyperbolic groups
We investigate the action of the automorphism group of an acylindrically hyperbolic group G on its space of homogeneous quasimorphisms, and identify its kernel with the subgroup of "strongly commensurating" automorphisms. We deduce that if G has no non-trivial finite normal subgroups then it has sufficiently many quasimorphisms to recognize whether an automorphism is inner. As consequences, we show that Out(G) acts faithfully on the kernel of the comparison map in bounded cohomology and it embe…