Zobrazeno 1 - 10
of 775 973
pro vyhledávání: '"Arthur, A. A."'
A fundamental alcove $\mathcal{A}$ is a tile in a paving of a vector space $V$ by an affine reflection group $W_{\mathrm{aff}}$. Its geometry encodes essential features of $W_{\mathrm{aff}}$, such as its affine Dynkin diagram $\widetilde{D}$ and fund
Externí odkaz:
http://arxiv.org/abs/2501.01654
Autor:
Kim, Dongha, Park, Geonhyeong, Choi, Yun-Seok, Baucour, Arthur, Hwang, Jisung, Park, Sanghyeok, Yun, Hee Seong, Shin, Jonghwa, Wang, Haiwen, Fan, Shanhui, Yoon, Dong Ki, Seo, Min-Kyo
The dimensionality of vortical structures has recently been extended beyond two dimensions, providing higher-order topological characteristics and robustness for high-capacity information processing and turbulence control. The generation of high-dime
Externí odkaz:
http://arxiv.org/abs/2501.01550
Autor:
Wasserman, Arthur G.
For any compact Lie group $G$ and any $n$ we construct a smooth $G$-manifold $U_n(G)$ such that any smooth $n$-dimensional $G$-manifold can be embedded in $U_n(G)$ with a trivial normal bundle. Furthermore, we show that such embeddings are unique up
Externí odkaz:
http://arxiv.org/abs/2501.00624
We develop a 6-functor formalism $\mathcal{D}_{[0,\infty)}(-)$ with $\mathbb{Z}_p$-linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pro-\'etale cohomology of rigid-analytic varieties of general pro-\'etal
Externí odkaz:
http://arxiv.org/abs/2412.20968
Autor:
Blanc-Renaudie, Arthur, Cazaux, Camille, Conchon-Kerjan, Guillaume, Lions, Tanguy, Singh, Arvind
We consider a recent model of random walk that recursively grows the network on which it evolves, namely the Tree Builder Random Walk (TBRW). We introduce a bias $\rho \in (0,\infty)$ towards the root, and exhibit a phase transition for transience/re
Externí odkaz:
http://arxiv.org/abs/2412.20852
Autor:
Adams, Arthur D., Colose, Christopher, Merrelli, Aronne, Turnbull, Margaret, Kane, Stephen R.
Earth-like planets in the circumstellar habitable zone (HZ) may have dramatically different climate outcomes depending on their spin-orbit parameters, altering their habitability for life as we know it. We present a suite of 93 ROCKE-3D general circu
Externí odkaz:
http://arxiv.org/abs/2412.19357
Harnessing the potential computational advantage of quantum computers for machine learning tasks relies on the uploading of classical data onto quantum computers through what are commonly referred to as quantum encodings. The choice of such encodings
Externí odkaz:
http://arxiv.org/abs/2412.17772
Techniques enabling large language models (LLMs) to "think more" by generating and attending to intermediate reasoning steps have shown promise in solving complex problems. However, the standard approaches generate sequences of discrete tokens immedi
Externí odkaz:
http://arxiv.org/abs/2412.17747
Neural Radiance Fields (NeRF) revolutionized novel view synthesis in recent years by offering a new volumetric representation, which is compact and provides high-quality image rendering. However, the methods to edit those radiance fields developed sl
Externí odkaz:
http://arxiv.org/abs/2412.17628
Physical skill acquisition, from sports techniques to surgical procedures, requires instruction and feedback. In the absence of a human expert, Physical Task Guidance (PTG) systems can offer a promising alternative. These systems integrate Artificial
Externí odkaz:
http://arxiv.org/abs/2412.16892