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pro vyhledávání: '"Gaussian field"'
We prove that the set of thick points of the log-correlated Gaussian field contains an unbounded path in sufficiently high dimensions. This contrasts with the two-dimensional case, where Aru, Papon, and Powell (2023) showed that the set of thick poin
Externí odkaz:
http://arxiv.org/abs/2410.22075
Autor:
Yuan, Wangjun
Let $X^\beta$ be a real symmetric or complex Hermitian matrix whose entries are independent Gaussian random fields. We provide the sufficient and necessary conditions such that multiple collisions of eigenvalue processes of $A^\beta + T_\beta X^\beta
Externí odkaz:
http://arxiv.org/abs/2407.09070
Autor:
Wang, Jiaxu, Zhang, Ziyi, Zhang, Qiang, Li, Jia, Sun, Jingkai, Sun, Mingyuan, He, Junhao, Xu, Renjing
Latent scene representation plays a significant role in training reinforcement learning (RL) agents. To obtain good latent vectors describing the scenes, recent works incorporate the 3D-aware latent-conditioned NeRF pipeline into scene representation
Externí odkaz:
http://arxiv.org/abs/2406.02370
Autor:
Hu, Jiarui, Chen, Xianhao, Feng, Boyin, Li, Guanglin, Yang, Liangjing, Bao, Hujun, Zhang, Guofeng, Cui, Zhaopeng
Recently neural radiance fields (NeRF) have been widely exploited as 3D representations for dense simultaneous localization and mapping (SLAM). Despite their notable successes in surface modeling and novel view synthesis, existing NeRF-based methods
Externí odkaz:
http://arxiv.org/abs/2403.16095
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Autor:
McAuley, Michael
For a smooth, stationary Gaussian field $f$ on Euclidean space with fast correlation decay, there is a critical level $\ell_c$ such that the excursion set $\{f\geq\ell\}$ contains a (unique) unbounded component if and only if $\ell<\ell_c$. We prove
Externí odkaz:
http://arxiv.org/abs/2403.03033
Autor:
Qi, Zhi
In this paper, on the complex field $\mathbb{C}$, we prove two integral formulae for the Hankel-Mellin transform and the double Fourier-Mellin transform of Bessel functions, both resulting the hypergeometric function. As two applications, we use the
Externí odkaz:
http://arxiv.org/abs/2310.19480
Autor:
Limmer, David T., author
Publikováno v:
Statistical Mechanics and Stochastic Thermodynamics : A Textbook on Modern Approaches in and out of Equilibrium, 2024, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780198919858.003.0003
Autor:
Démery, Vincent, Gambassi, Andrea
The motion of a colloidal probe in a complex fluid, such as a micellar solution, is usually described by the generalized Langevin equation, which is linear. However, recent numerical simulations and experiments have shown that this linear model fails
Externí odkaz:
http://arxiv.org/abs/2307.07721
Akademický článek
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