Zero volume boundary for extension domains from Sobolev to $BV$

Kavli Affiliate: Zheng Zhu | First 5 Authors: Tapio Rajala, Zheng Zhu, , , | Summary: In this note, we prove that the boundary of a $(W^{1, p}, BV)$-extension domain is of volume zero under the assumption that the domain $boz$ is $1$-fat at almost every $xinpartialboz$. Especially, the boundary of any planar $(W^{1, p}, […]


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Formation of episodic jets and associated flares from black hole accretion systems

Kavli Affiliate: Feng Yuan | First 5 Authors: Miljenko Cemeljic, Hai Yang, Feng Yuan, Hsien Shang, | Summary: Episodic ejections of blobs (episodic jets) are widely observed in black hole sources and usually associated with flares. In this paper, by performing and analyzing three dimensional general relativity magnetohydrodynamical numerical simulations of accretion flows, we investigate […]


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There and back again: understanding the critical properties of backsplash galaxies

Kavli Affiliate: Michael A. McDonald | First 5 Authors: Josh Borrow, Mark Vogelsberger, Stephanie O’Neil, Michael A. McDonald, Aaron Smith | Summary: Backsplash galaxies are galaxies that once resided inside a cluster, and have migrated back oustide as they move towards the apocentre of their orbit. The kinematic properties of these galaxies are well understood, […]


Continue.. There and back again: understanding the critical properties of backsplash galaxies

There and back again: understanding the critical properties of backsplash galaxies

Kavli Affiliate: Mark Vogelsberger | First 5 Authors: Josh Borrow, Mark Vogelsberger, Stephanie O’Neil, Michael A. McDonald, Aaron Smith | Summary: Backsplash galaxies are galaxies that once resided inside a cluster, and have migrated back outside as they move towards the apocenter of their orbit. The kinematic properties of these galaxies are well understood, thanks […]


Continue.. There and back again: understanding the critical properties of backsplash galaxies

Towards Understanding Grokking: An Effective Theory of Representation Learning

Kavli Affiliate: Max Tegmark | First 5 Authors: Ziming Liu, Ouail Kitouni, Niklas Nolte, Eric J. Michaud, Max Tegmark | Summary: We aim to understand grokking, a phenomenon where models generalize long after overfitting their training set. We present both a microscopic analysis anchored by an effective theory and a macroscopic analysis of phase diagrams […]


Continue.. Towards Understanding Grokking: An Effective Theory of Representation Learning

Towards Understanding Grokking: An Effective Theory of Representation Learning

Kavli Affiliate: Max Tegmark | First 5 Authors: Ziming Liu, Ouail Kitouni, Niklas Nolte, Eric J. Michaud, Max Tegmark | Summary: We aim to understand grokking, a phenomenon where models generalize long after overfitting their training set. We present both a microscopic analysis anchored by an effective theory and a macroscopic analysis of phase diagrams […]


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Separate universe approach to evaluate nonlinear matter power spectrum for non-flat $Λ$CDM model

Kavli Affiliate: Masahiro Takada | First 5 Authors: Ryo Terasawa, Ryuichi Takahashi, Takahiro Nishimichi, Masahiro Takada, | Summary: The spatial curvature ($Omega_K$) of the Universe is one of the most fundamental quantities that could give a link to the early universe physics. In this paper we develop an approximate method to compute the nonlinear matter […]


Continue.. Separate universe approach to evaluate nonlinear matter power spectrum for non-flat $Λ$CDM model

Separate universe approach to evaluate nonlinear matter power spectrum for non-flat $Λ$CDM model

Kavli Affiliate: Masahiro Takada | First 5 Authors: Ryo Terasawa, Ryuichi Takahashi, Takahiro Nishimichi, Masahiro Takada, | Summary: The spatial curvature ($Omega_K$) of the Universe is one of the most fundamental quantities that could give a link to the early universe physics. In this paper we develop an approximate method to compute the nonlinear matter […]


Continue.. Separate universe approach to evaluate nonlinear matter power spectrum for non-flat $Λ$CDM model

Tidal disruption of solitons in self-interacting ultralight axion dark matter

Kavli Affiliate: Risa H. Wechsler | First 5 Authors: Noah Glennon, Ethan O. Nadler, Nathan Musoke, Arka Banerjee, Chanda Prescod-Weinstein | Summary: Ultralight axions (ULAs) are promising dark matter candidates that can have a distinct impact on the formation and evolution of structure on nonlinear scales relative to the cold, collisionless dark matter (CDM) paradigm. […]


Continue.. Tidal disruption of solitons in self-interacting ultralight axion dark matter