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of 4 898
pro vyhledávání: '"Krapp, A"'
We give an explicit algebraic characterisation of all definable henselian valuations on a dp-minimal real field. Additionally we characterise all dp-minimal real fields that admit a definable henselian valuation with real closed residue field. We do
Externí odkaz:
http://arxiv.org/abs/2410.10344
Autor:
Krapp, Lothar Sebastian, Wirth, Laura
The Fundamental Theorem of Statistical Learning states that a hypothesis space is PAC learnable if and only if its VC dimension is finite. For the agnostic model of PAC learning, the literature so far presents proofs of this theorem that often tacitl
Externí odkaz:
http://arxiv.org/abs/2410.10243
Autor:
Velasco-Romero, David A., Masset, Frédéric S., Morbidelli, Alessandro, Benítez-Llambay, Pablo, Krapp, Leonardo, Lega, Elena
We study the orbital evolution and mass growth of protoplanets with masses $M \in [0.1-8]$~M$_\oplus$ in the vicinity of a dusty ring, using three-dimensional numerical simulations with a two-fluid model and nested-meshes. We find two stable, eccentr
Externí odkaz:
http://arxiv.org/abs/2407.16546
Autor:
Bagayoko, Vincent, Krapp, Lothar Sebastian, Kuhlmann, Salma, Panazzolo, Daniel, Serra, Michele
We establish a correspondence between automorphisms and derivations on certain algebras of generalised power series. In particular, we describe a Lie algebra of derivations on a field $k(\!(G)\!)$ of generalised power series, exploiting our knowledge
Externí odkaz:
http://arxiv.org/abs/2403.05827
Autor:
Krapp, Leonardo, Kratter, Kaitlin M., Youdin, Andrew N., Benítez-Llambay, Pablo, Masset, Frédéric, Armitage, Philip J.
The formation of circumplanetary disks is central to our understanding of giant planet formation, influencing their growth rate during the post-runaway phase and observability while embedded in protoplanetary disks. We use 3D global multifluid radiat
Externí odkaz:
http://arxiv.org/abs/2402.14638
Autor:
Cañas, Manuel H., Lyra, Wladimir, Carrera, Daniel, Krapp, Leonardo, Sengupta, Debanjan, Simon, Jacob B., Umurhan, Orkan M., Yang, Chao-Chin, Youdin, Andrew
Kuiper belt objects show an unexpected trend, whereby large bodies have increasingly higher densities, up to five times greater than their smaller counterparts. Current explanations for this trend assume formation at constant composition, with the in
Externí odkaz:
http://arxiv.org/abs/2401.04294
Recent studies have shown that the large-scale gas dynamics of protoplanetary disks (PPDs) are controlled by non-ideal magneto-hydrodynamics (MHD), but how this influences dust dynamics is not fully understood. To this end, we investigate the stabili
Externí odkaz:
http://arxiv.org/abs/2312.09180
We present MDIRK: a Multifluid second-order Diagonally-Implicit Runge-Kutta method to study momentum transfer between gas and an arbitrary number ($N$) of dust species. The method integrates the equations of hydrodynamics with an Implicit Explicit (I
Externí odkaz:
http://arxiv.org/abs/2310.04435
The study of many astrophysical flows requires computational algorithms that can capture high Mach number flows, while resolving a large dynamic range in spatial and density scales. In this paper we present a novel method, RAM: Rapid Advection Algori
Externí odkaz:
http://arxiv.org/abs/2305.05362
We develop a first-order theory of ordered transexponential fields in the language $\{+,\cdot,0,1,<,e,T\}$, where $e$ and $T$ stand for unary function symbols. While the archimedean models of this theory are readily described, the study of the non-ar
Externí odkaz:
http://arxiv.org/abs/2305.04607