Tootfinder

Keigo: Co-designing Log-Structured Merge Key-Value Stores with a Non-Volatile, Concurrency-aware Storage Hierarchy (Extended Version)
R\'uben Ad\~ao, Zhongjie Wu, Changjun Zhou, Oana Balmau, Jo\~ao Paulo, Ricardo Macedo
https://arxiv.org/abs/2506.14630

Keigo: Co-designing Log-Structured Merge Key-Value Stores with a Non-Volatile, Concurrency-aware Storage Hierarchy (Extended Version)
We present Keigo, a concurrency- and workload-aware storage middleware that enhances the performance of log-structured merge key-value stores (LSM KVS) when they are deployed on a hierarchy of storage devices. The key observation behind Keigo is that there is no one-size-fits-all placement of data across the storage hierarchy that optimizes for all workloads. Hence, to leverage the benefits of combining different storage devices, Keigo places files across different devices based on their parall…

Matrix models as tau functions of the UC hierarchy of integrable equations. II
Chuanzhong Li, Andrei Mironov, Alexander Yu. Orlov
https://arxiv.org/abs/2506.12867

Matrix models as tau functions of the UC hierarchy of integrable equations. II
We present a family of matrix models such that their partition functions are tau functions of the universal character (UC) hierarchy. This develops one of the topics of our previous paper arXiv:2410.14823. We found new matrix models associated with the product of two spheres with embedded graphs via a gluing matrix. We also generalize these studies to multi-matrix models case, which corresponds to the multi-component UC hierarchy.

DesignCoder: Hierarchy-Aware and Self-Correcting UI Code Generation with Large Language Models
Yunnong Chen, Shixian Ding, YingYing Zhang, Wenkai Chen, Jinzhou Du, Lingyun Sun, Liuqing Chen
https://arxiv.org/abs/2506.13663

DesignCoder: Hierarchy-Aware and Self-Correcting UI Code Generation with Large Language Models
Multimodal large language models (MLLMs) have streamlined front-end interface development by automating code generation. However, these models also introduce challenges in ensuring code quality. Existing approaches struggle to maintain both visual consistency and functional completeness in the generated components. Moreover, they lack mechanisms to assess the fidelity and correctness of the rendered pages. To address these issues, we propose DesignCoder, a novel hierarchical-aware and self-corr…

Lagrange multiplier expressions for matrix polynomial optimization and tight relaxations
Lei Huang, Jiawang Nie, Jiajia Wang, Lingling Xie
https://arxiv.org/abs/2506.12579

Lagrange multiplier expressions for matrix polynomial optimization and tight relaxations
This paper studies matrix constrained polynomial optimization. We investigate how to get explicit expressions for Lagrange multiplier matrices from the first order optimality conditions. The existence of these expressions can be shown under the nondegeneracy condition. Using Lagrange multiplier matrix expressions, we propose a strengthened Moment-SOS hierarchy for solving matrix polynomial optimization. Under some general assumptions, we show that this strengthened hierarchy is tight, or equiva…

The Intrinsic and Extrinsic Hierarchy Problems
James D. Wells
https://arxiv.org/abs/2506.05472 https://arxiv.org/pdf/2506.05472

The Intrinsic and Extrinsic Hierarchy Problems
The Hierarchy Problem of elementary particle physics can be divided into two separate problems: the Intrinsic and Extrinsic Hierarchy Problems. The Intrinsic Hierarchy Problem (IHP) arises when the Wilsonian renormalization group induces a large Lambda_UV cutoff dependence on a much lighter scalar mass, creating a large finetuning. The Extrinsic Hierarchy Problem (EHP) arises when the IR theory is augmented with generically assumed extra states and interactions in the UV, making the resulting I…

Descriptions of Cantor Sets: A Set-Theoretic Survey and Open Problems
Mohsen Soltanifar
https://arxiv.org/abs/2506.13103 https://arxi…

Descriptions of Cantor Sets: A Set-Theoretic Survey and Open Problems
This survey synthesizes the principal descriptive set-theoretic perspectives on deterministic Cantor sets on the real line and charts directions for future study. After recounting their historical genesis and compiling an up-to-date taxonomy, we review the Borel hierarchy and four hierarchically ordered representations-general, nested, iterated-function-system (IFS), and q-ary expansion-presented from the most general to the most specific set-theoretic description of deterministic Cantor sets. …

Fine-tuning problems in type IIA string theory
Yang Liu
https://arxiv.org/abs/2506.12993 https://arxiv.org/pdf/2506.12993

Fine-tuning problems in type IIA string theory
We demonstrate a unified resolution to the strong CP, hierarchy, and cosmological constant problems in type IIA flux compactifications, via 4-form fluxes and KL stabilization. We show that the strong CP problem can be effectively "solved" in type IIA orientifold constructions, particularly in the type IIA $T^6/(\mathbb{Z}_2 \times \mathbb{Z}_2)$ model. Building on this, we explore whether the remaining two fine-tuning problems can also be resolved within the same setup. To obtain a small cosmol…

»L.A. Protests Live Updates: Senator Padilla Forcibly Removed After Confronting Noem«
The US has fallen and the Trump dictatorship hierarchy is final!
📰 https://www.nytimes.com/live/2025/06/12/us/la-protests-trump-marines-ice
📰

L.A. Protests Live Updates: Senator Padilla Forcibly Removed After Confronting Noem
A federal judge plans to rule soon on whether to limit the role of the military in the immigration raids that led Senator Alex Padilla to confront the homeland security secretary. He was removed and handcuffed.

The Aurellion Function: A Recursive Fast-Growing Hierarchy Beyond Knuth Notation
Daniel Vodrazka (Independent theorist)
https://arxiv.org/abs/2506.05067 ht…

The Aurellion Function: A Recursive Fast-Growing Hierarchy Beyond Knuth Notation
We introduce the Aurellion Function, a novel recursively defined fast-growing hierarchy based on Knuth's up-arrow notation, defined by $A_1 = 10 \uparrow\uparrow\uparrow 10$, $A_{n+1} = 10 \uparrow^{A_n} 10$, where the number of arrows in the operation increases superexponentially with $n$. We analyze its growth rate relative to classical hierarchies such as the fast-growing hierarchy $(f_α)_{α< \varepsilon_0}$, and discuss its provability status in formal arithmetic. We provide formal bounds…

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy
Lennart Sinjorgo, Renata Sotirov, Juan C. Vera
https://arxiv.org/abs/2506.08648

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy
We consider the Lasserre hierarchy for computing bounds on the stability number of graphs. The semidefinite programs (SDPs) arising from this hierarchy involve large matrix variables and many linear constraints, which makes them difficult to solve using interior-point methods. We propose solving these SDPs using the alternating direction method of multipliers (ADMM). When the second level of the Lasserre hierarchy for a given graph is intractable for the ADMM, we consider an intermediate-level …

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy
Xuhui Zhang, Jian Zhou
https://arxiv.org/abs/2506.00451 https://

A Formula for Connected Bosonic \(n\)-Point Functions for the BKP Hierarchy
We present a formula for the connected \(n\)-point functions of a tau-funtion of the BKP hierarchy by embedding BKP hierarchy into KP hierarchy. This formula is different from the one given by Wang and Yang. We prove that these two formulae are equivalent.

today I actually got to use the phrase "[system] can't do that because it requires a higher level of the Chomsky Hierarchy than we've got available"
**and it was the right answer to a product problem**
feels like the core plot arc of The Last Starfighter
"this apparently useless thing you've spent your life practicing? turns out, *today's the day*"

Memory Hierarchy Design for Caching Middleware in the Age of NVM
Shahram Ghandeharizadeh, Sandy Irani, Jenny Lam
https://arxiv.org/abs/2506.05071 https://

Memory Hierarchy Design for Caching Middleware in the Age of NVM
Advances in storage technology have introduced Non-Volatile Memory, NVM, as a new storage medium. NVM, along with Dynamic Random Access Memory (DRAM), Solid State Disk (SSD), and Disk present a system designer with a wide array of options in designing caching middleware. Moreover, design decisions to replicate a data item in more than one level of a caching memory hierarchy may enhance the overall system performance with a faster recovery time in the event of a memory failure. Given a fixed bud…

Cleaning out a closet.
I have no use for these but feels a shame to get rid of them. Anybody have a good home for them?

This https://arxiv.org/abs/2210.08508 has been replaced.
link: https://scholar.google.com/scholar?q=a

RevaMp3D: Architecting the Processor Core and Cache Hierarchy for Systems with Monolithically-Integrated Logic and Memory
Recent nano-technological advances enable the Monolithic 3D (M3D) integration of multiple memory and logic layers in a single chip, allowing for fine-grained connections between layers and significantly alleviating main memory bottlenecks. We show for a variety of workloads, on a state-of-the-art M3D-based system, that the performance and energy bottlenecks shift from main memory to the processor core and cache hierarchy. Therefore, there is a need to revisit current designs that have been conv…

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
David Klompenhouwer, Stijn Velstra
https://arxiv.org/abs/2506.02540

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
We consider strata of curves carrying a residueless meromorphic differential inducing a spin structure on the curve. The cohomology classes of the closures of these strata, weighted by the parity of the spin structures, form a partial cohomological field theory (CohFT) of infinite rank. After applying the DR hierarchy construction to this partial CohFT and reducing to differentials with two zeros and arbitrarily many poles, we show that the resulting system of evolutionary PDEs coincides with t…

Refining ensemble $N$-representability of one-body density matrices from partial information
Julia Liebert, Anna O. Schouten, Irma Avdic, Christian Schilling, David A. Mazziotti
https://arxiv.org/abs/2506.09960

Refining ensemble $N$-representability of one-body density matrices from partial information
The $N$-representability problem places fundamental constraints on reduced density matrices (RDMs) that originate from physical many-fermion quantum states. Motivated by recent developments in functional theories, we introduce a hierarchy of ensemble one-body $N$-representability problems that incorporate partial knowledge of the one-body reduced density matrices (1RDMs) within an ensemble of $N$-fermion states with fixed weights $w_i$. Specifically, we propose a systematic relaxation that redu…

Anarchism and Linux share key similarities in decentralization. Anarchism puts power back into the hands of the people through democratic, decentralized communities and bottom-up unions that organize collectively without hierarchy. Similarly, Linux operates as a decentralized system where no single entity controls the whole; instead, development and decision-making happen through collaborative, distributed contributions from a global community.
They also align in the principle of mutua…

PhyBlock: A Progressive Benchmark for Physical Understanding and Planning via 3D Block Assembly
Liang Ma, Jiajun Wen, Min Lin, Rongtao Xu, Xiwen Liang, Bingqian Lin, Jun Ma, Yongxin Wang, Ziming Wei, Haokun Lin, Mingfei Han, Meng Cao, Bokui Chen, Ivan Laptev, Xiaodan Liang
https://arxiv.org/abs/2506.08708

PhyBlock: A Progressive Benchmark for Physical Understanding and Planning via 3D Block Assembly
While vision-language models (VLMs) have demonstrated promising capabilities in reasoning and planning for embodied agents, their ability to comprehend physical phenomena, particularly within structured 3D environments, remains severely limited. To close this gap, we introduce PhyBlock, a progressive benchmark designed to assess VLMs on physical understanding and planning through robotic 3D block assembly tasks. PhyBlock integrates a novel four-level cognitive hierarchy assembly task alongside …

A Computational Search for Minimal Obstruction Graphs for the Lov\'{a}sz--Schrijver SDP Hierarchy
Yu Hin Au, Levent Tun\c{c}el
https://arxiv.org/abs/2505.24735

A Computational Search for Minimal Obstruction Graphs for the Lovász--Schrijver SDP Hierarchy
We study the lift-and-project relaxations of the stable set polytope of graphs generated by $\text{LS}_+$, the SDP lift-and-project operator devised by Lovász and Schrijver. In particular, we focus on searching for $\ell$-minimal graphs, which are graphs on $3\ell$ vertices whose stable set polytope has rank $\ell$ with respect to $\text{LS}_+$. These are the graphs which are the most challenging for the $\text{LS}_+$ operator according to one of the main complexity measures (smallest graphs w…

This https://arxiv.org/abs/2501.11443 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the hierarchy of plate models for a singularly perturbed multi-well nonlinear elastic energy
In the celebrated work of Friesecke, James and Müller '06 the authors derive a hierarchy of models for plates by carefully analyzing the $Γ$-convergence of the rescaled nonlinear elastic energy. The key ingredient of their proofs is the rigidity estimate proved in an earlier work of theirs. Here we consider the case in which the elastic energy has a multi-well structure: this type of functional arises, for example, in the study of solid-solid phase transitions. Since the rigidity estimate fai…

Music writer, producer, and podcaster Dylan Tupper Rupert on envisioning alternatives
https://thecreativeindependent.com/peo

Music writer, producer, and podcaster Dylan Tupper Rupert on envisioning alternatives – The Creative Independent
Music writer, producer, and podcaster Dylan Tupper Rupert discusses growing up in the Seattle arts scene, dealing with music industry hierarchy, and imagining the ideal conditions for creativity.

A structure preserving H-curl algebraic multigrid method for the eddy current equations
Raymond Tuminaro, Christian Glusa
https://arxiv.org/abs/2506.08284 …

A structure preserving H-curl algebraic multigrid method for the eddy current equations
A new algebraic multigrid method (AMG) is presented for solving the linear systems associated with the eddy current approximation to the Maxwell equations. This AMG method extends an idea proposed by Reitzinger and Schoberl. The main feature of the Reitzinger and Schoberl algorithm (RSAMG) is that it maintains null-space properties of the Curl-Curl operator throughout all levels of the AMG hierarchy. It does this by enforcing a commuting relationship involving grid transfers and the discrete gr…

This https://arxiv.org/abs/2505.00694 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

What is the Hierarchy Problem?
Is there a Hierarchy Problem? If so, what, exactly, is the problem? Almost every theorist has a personal answer to these questions. In this article, I give my answers. I will explain that the Hierarchy Problem is not a formal problem but rather our ignorance of a crucial physics explanation -- the explanation of the nature of the Higgs boson. Without the solution to this problem, we cannot make progress on the major questions of our field.

This https://arxiv.org/abs/2502.17570 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Effects of spacetime geometry on neutrino oscillation inside a Core-Collapse Supernova
Neutrinos are excellent probes of the inner structures of supernovas. However, an understanding of their dynamics remains incomplete, which is crucial for properly interpreting the detector data. The huge matter density inside a core collapse supernova affects the self-coupling of the neutrinos through a geometrical four-fermion interaction induced by spacetime torsion generated by the fermions themselves. For normal mass hierarchy, the effect is negligible; for inverted mass hierarchy however,…

This https://arxiv.org/abs/2412.20122 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Multi-component Toda lattice hierarchy
We give a detailed account of the N -component Toda lattice hierarchy. This hierarchy is an extended version of the one introduced by Ueno and Takasaki. Our version contains N discrete variables rather than one. We start from the Lax formalism, deduce the bilinear relation for the wave functions from it and then, based on the latter, prove existence of the tau-function. We also show how the multi-component Toda lattice hierarchy is embedded into the universal hierarchy which is basically the mu…

Bound States at Semiconductor -- Mott Insulator Interfaces
Jan Verlage, Peter Kratzer
https://arxiv.org/abs/2506.08264 https://arxiv.…

Bound States at Semiconductor -- Mott Insulator Interfaces
Utilizing the hierarchy of correlations in the context of a Fermi-Hubbard model, we deduce the presence of quasi-particle bound states at the interface between a Mott insulator and a semiconductor, as well as within a semiconductor-Mott-semiconductor heterostructure forming a quantum well. In the case of the solitary interface, the existence of bound states necessitates the presence of an additional perturbation with a minimal strength depending on the spin background of the Mott insulator. Con…

Refinements on higher order Weil-Oesterl\'e bounds via a Serre type argument
Emmanuel Hallouin, Philippe Moustrou, Marc Perret
https://arxiv.org/abs/2506.05212

Refinements on higher order Weil-Oesterlé bounds via a Serre type argument
Weil's theorem gives the most standard bound on the number of points of a curve over a finite field. This bound was improved by Ihara and Oesterlé for larger genus. Recently, Hallouin and Perret gave a new point of view on these bounds, that can be obtained by solving a sequence of semi-definite programs, and the two first steps of this hierarchy recover Weil's and Ihara's bounds. On the other hand, by taking into account arithmetic constraints, Serre obtained a refinement on Weil's bound. In …

Hierarchy of localized many-body bound states in an interacting open lattice
Yanxia Liu, Shu Chen
https://arxiv.org/abs/2505.23255 https://

Hierarchy of localized many-body bound states in an interacting open lattice
We unveil the mechanism for the formation of puzzled boundary-localized bound states in a spinless fermionic open lattice with nearest-neighbor interactions. By solving the Bethe-ansatz equation analytically, we uncover asymmetrical string solutions corresponding to the boundary-localized bound states, which emerge in systems with at least three particles. The localized bound states can become bound states in continuum in a suitable parameter region. When the number of particles increases to fi…

Light-Matter Entanglement in Real-Time Nuclear-Electronic Orbital Polariton Dynamics
Millan F. Welman, Tao E. Li, Sharon Hammes-Schiffer
https://arxiv.org/abs/2506.06490

Light-Matter Entanglement in Real-Time Nuclear-Electronic Orbital Polariton Dynamics
Molecular polaritons are hybrid light-matter states that enable the exploration of potential cavity-modified chemistry. The development of dynamical, first-principles approaches for simulating molecular polaritons is important for understanding their origins and properties. Herein, we present a hierarchy of first-principles methods to simulate the real-time dynamics of molecular polaritons in the strong coupling regime. These methods are based on real-time time-dependent density functional theo…

Convergence of linear programming hierarchies for Gibbs states of spin systems
Hamza Fawzi, Omar Fawzi
https://arxiv.org/abs/2506.06125 https://

Convergence of linear programming hierarchies for Gibbs states of spin systems
We consider the problem of computing expectation values of local functions under the Gibbs distribution of a spin system. In particular, we study two families of linear programming hierarchies for this problem. The first hierarchy imposes local spin flip equalities and has been considered in the bootstrap literature in high energy physics. For this hierarchy, we prove fast convergence under a spatial mixing (decay of correlations) condition. This condition is satisfied for example above the cri…

Day 6
TL;DR: Groups, memberships, hierarchy — all dynamic now.
Released backend v0.3.0 🎉
✅ Users can belong to multiple groups with typed roles
✅ Groups can form hierarchical or overlapping structures
✅ Roles are normalized via reference types
Built with NestJS TypeORM. Documented via Swagger.

Building a Flexible Group Structure with NestJS and TypeORM
TL;DR: I introduced a generic group model into the backend to handle dynamic user-to-organization assignments and relationships. Users ca...

The isostructural alpha-gamma phase transition in cerium from the perspective of meta-generalized gradient approximations
Ashesh Giri, Chandra Shahi, Adrienn Ruzsinszky
https://arxiv.org/abs/2506.03578

The isostructural alpha-gamma phase transition in cerium from the perspective of meta-generalized gradient approximations
Meta-generalized gradient approximations (meta-GGAs) on the third rung of the functional hierarchy are gaining increasing relevance for the electronic structure. Meta-GGAs are constructed from numerous ingredients including the orbital kinetic energy density that make them more flexible than generalized gradient approximations (GGAs) including the heavily used PBE-GGA. Still, most meta-GGAs cope with the expected limitations of a semilocal density functional when band gaps or localization of el…

Impact of improved energy resolution on DUNE sensitivity in presence of a light sterile neutrino
Sabila Parveen, Jogesh Rout, Poonam Mehta
https://arxiv.org/abs/2506.10767

Impact of improved energy resolution on DUNE sensitivity in presence of a light sterile neutrino
The Deep Underground Neutrino Experiment (DUNE) primarily aims to measure the yet unknown parameters of the standard three neutrino framework, i.e., the determination of Dirac CP phase ($δ_{13}$), neutrino mass hierarchy (MH) and octant of $θ_{23}$. In the present work, we consider the standard three neutrino paradigm (referred to as the $(3+0)$ case) and beyond with an additional light sterile neutrino (referred to as the $(3+1)$ case). We consider two configurations : standard energy resolu…

The reason I’m so fixated on Rudolf Rocker is that he understood authority and centralized control as inherently oppressive structures that suppress individual freedom and the collective ability to self-organize.
He argued that true freedom arises not from legal or political institutions, which often serve to maintain domination, but from the voluntary, free association of people resisting all forms of coercion and hierarchy.
For Rocker, political rights are not granted by govern…

Tool developers. My dear loves. My wonderful creatuers.
Load your config-files from:
- $REPO_ROOT/.yourthing.json - no
- $REPO_ROOT/.config/yourthing.json - yes
At the very least, include `.config/` in the hierarchy-walking algorithm.
Seriously, I am so tired of my project dir being forty config files and three actually-important directories. ;_;

This https://arxiv.org/abs/2505.21581 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

CogAD: Cognitive-Hierarchy Guided End-to-End Autonomous Driving
While end-to-end autonomous driving has advanced significantly, prevailing methods remain fundamentally misaligned with human cognitive principles in both perception and planning. In this paper, we propose CogAD, a novel end-to-end autonomous driving model that emulates the hierarchical cognition mechanisms of human drivers. CogAD implements dual hierarchical mechanisms: global-to-local context processing for human-like perception and intent-conditioned multi-mode trajectory generation for cogn…

This https://arxiv.org/abs/2206.05492 has been replaced.
link: https://scholar.google.com/scholar?q=a

Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics
We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nodal surfaces in P^3 of degree d and with n nodes, and their incidence hierarchy, relating partial smoothings to code shortenings. Our first main result solves a question which dates back over 100 years: the irreducible components of F(4, n) are in bijection with the isomorphism classes of their extended codes K', and t…

Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
Fabian Pichler, Clemens Kuhlenkamp, Michael Knap, Ashvin Vishwanath
https://arxiv.org/abs/2506.08000

Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
Fractional quantum Hall (FQH) states and superconductors typically require contrasting conditions, yet recent experiments have observed them in the same device. A natural explanation is that mobile anyons give rise to superconductivity; however, this mechanism requires binding of minimally charged anyons to establish an unusual energy hierarchy. This scenario has mostly been studied with effective theories, leaving open the question of how anyon superconductivity can arise from repulsive intera…

This https://arxiv.org/abs/2503.18782 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Adhesion differentials control the rheology of biomimetic emulsions
Animal morphogenesis involves complex tissue deformation processes, which require tight control over tissue rheology. Yet, it remains insufficiently understood how tissue rheology results from the interplay between cellular packing and cellular forces, such as cortical tension, cell pressure, and cell-cell adhesion. Here, we follow a biomimetic approach to study this interplay, focusing on the cellular adhesion hierarchy. We mimic adhesive cells with oil droplets whose adhesion strength and spe…

This https://arxiv.org/abs/2407.18296 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Collider and astrophysical signatures of light scalars with enhanced $τ$ couplings
Beyond Standard Model scenarios addressing the flavor puzzle and the hierarchy problem generally predict dominant new physics couplings with fermions of the third generation. In this Letter, we explore the collider and astrophysical signatures of new light scalar and pseudoscalar particles dominantly coupled to the $τ$-lepton. The best experimental prospects are expected at Belle II through the $e^+e^-\toτ^+τ^-γγ$, $τ^+τ^-γ$, $3γ$, mono-$γ$ processes, and the $τ$ anomalous magnetic m…

This https://arxiv.org/abs/2403.07537 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Vortices and Factorization
We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to periodic analogs of Schrodinger operators from the ``even" bi-spectral family. We also show that patterns related to soliton solutions of the KdV hierarchy constitute complete solution of the problem for certain classes of vortex systems. Keywords: Point vortices in ideal fluid, Factorization of second…

This https://arxiv.org/abs/2311.06069 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A filtered multilevel Monte Carlo method for estimating the expectation of cell-centered discretized random fields
In this paper, we investigate the use of multilevel Monte Carlo (MLMC) methods for estimating the expectation of discretized random fields. Specifically, we consider a setting in which the input and output vectors of numerical simulators have inconsistent dimensions across the multilevel hierarchy. This motivates the introduction of grid transfer operators borrowed from multigrid methods. By adapting mathematical tools from multigrid methods, we perform a theoretical spectral analysis of the ML…

Effective Versions of Strong Measure Zero
Matthew Rayman
#toXiv_bot_toot

This https://arxiv.org/abs/2412.13191 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Moment-sos and spectral hierarchies for polynomial optimization on the sphere and quantum de Finetti theorems
We revisit the convergence analysis of two approximation hierarchies for polynomial optimization on the unit sphere. The first one is based on the moment-sos approach and gives semidefinite bounds for which Fang and Fawzi (2021) showed an analysis in $O(1/r^2)$ for the r-th level bound, using the polynomial kernel method. The second hierarchy was recently proposed by Lovitz and Johnston (2023) and gives spectral bounds for which they show a convergence rate in $O(1/r)$, using a quantum de Finet…

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions
Shubo Zhao, Qinghai Zhang
https://arxiv.org/abs/2506.02663

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions
We present a fourth-order projection method with adaptive mesh refinement (AMR) for numerically solving the incompressible Navier-Stokes equations (INSE) with subcycling in time. Our method features (i) a reformulation of INSE so that the velocity divergence decays exponentially on the coarsest level, (ii) a derivation of coarse-fine interface conditions that preserves the decay of velocity divergence on any refinement level of the AMR hierarchy, (iii) an approximation of the coarse-fine interf…

This https://arxiv.org/abs/2412.18095 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Zee model in a non-holomorphic modular $A_4$ symmetry
We study a Zee model in a non-holomorphic modular $A_4$ flavor symmetry in which we find good predictions in both the cases of normal and inverted hierarchy. Parameter reduction on neutrino sector occurs due to large mass hierarchies between charged-leptons mass eigenvalues and new singly-charged bosons in addition to this flavor symmetry. As a result, we have two complex free parameters including modulus $τ$. We show several predictions in terms of verifiable observables such as Dirac CP, Maj…