Mapping the Turn: An Eulerian Binormal-Axis Diagnostic for Recirculating 3D Flows
John Marshall Cooper, Wen Wu
https://arxiv.org/abs/2605.18439 https://arxiv.org/pdf/2605.18439 https://arxiv.org/html/2605.18439
arXiv:2605.18439v1 Announce Type: new
Abstract: Three-dimensional (3D) recirculating flows are often interpreted qualitatively from selected streamline visualizations. In separated flows, such recirculating motion is central to the drag modulation, but the local orientation of recirculation remains difficult to quantify in a field-based form. This work introduces an Eulerian binormal-axis diagnostic that locally evaluates the orientation of streamline turning at each point in the velocity field, yielding a spatially resolved field of the recirculating direction. Motivated by the Frenet-Serret binormal direction of a curved streamline, the diagnostic uses the velocity vector and its convective acceleration to extract the local streamline-turning axis without requiring explicit streamline integration. The resulting direction is encoded with barycentric RGB weights to visualize streamwise, spanwise, and wall-normal turning axis contributions. The diagnostic is first applied to Hill's spherical vortex, which provides a controlled analytic example of 3D recirculating motion for interpreting the binormal-axis direction and the associated barycentric RGB encoding. It is then applied to the mean field of a pressure-gradient-induced 3D separation bubble. The resulting visualizations show that the diagnostic reveals orientation changes that are not apparent from streamline visualization. The proposed diagnostic therefore converts qualitative streamline impressions into a spatially resolved measure of local streamline-turning orientation, providing a quantitative complement to conventional 3D flow visualization.
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The Dissociated Universe: Bernardo Kastrup’s Analytic Idealism and the Mind That Contains the World
This essay completes a sequence. The first article considered Iain McGilchrist's panpsychist proposal that matter is a phase of consciousness, the way ice and vapor are phases of water. Its companion examined Daniel Dennett's illusionism, which argued that consciousness as we ordinarily conceive it is a user illusion the brain stages for itself. The third position, the…
Crosslisted article(s) found for math.SP. https://arxiv.org/list/math.SP/new
[1/1]:
- Analytic local resolution of Medvedev's Morse index conjecture for the critical hyperbolic cateno...
Alexander Pigazzini
https://arxiv.org/abs/2605.13562 https://mastoxiv.page/@arXiv_mathDG_bot/116571915012742224
- Determinantal point processes associated with the Bochner-Schr\"odinger operator
Yuri A. Kordyukov
https://arxiv.org/abs/2605.13575 https://mastoxiv.page/@arXiv_mathDG_bot/116571924843260732
- Spectral instability and non-uniqueness of mild solutions for the Keller-Segel system
Eliseo Luongo, Umberto Pappalettera
https://arxiv.org/abs/2605.13592 https://mastoxiv.page/@arXiv_mathAP_bot/116571934281016744
- Quantum Fractional Revival and Entanglement Entropy in Unitary Cayley Graphs
Duaa Abdullah
https://arxiv.org/abs/2605.13645 https://mastoxiv.page/@arXiv_mathCO_bot/116571957678938731
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Partitioned Iterative Quantum Scheduling of Satellites for Urgent Disaster Response: Case study of Wildfire
Lucas T. Braydwood, Taejin Park, Hirofumi Hashimoto, Zoe Gonzalez Izquierdo, Andrew Michaelis, Eleanor Rieffel, Shon Grabbe
https://arxiv.org/abs/2606.12310 https://arxiv.org/pdf/2606.12310 https://arxiv.org/html/2606.12310
arXiv:2606.12310v1 Announce Type: new
Abstract: The standard in Earth-observation tasks today is having near real-time access to surface images in response to changing conditions. For instance, as urban environments interface more with wildlands and wildfires become less predictable, their tracking with satellite resources becomes essential. This requires the coordination of increasingly large constellations of satellites, giving rise to challenging computational problems. With wildfire detection and tracking as a backdrop, we investigate the power of special purpose and novel computing paradigms to tackle the ensuing satellite scheduling problems, making a compelling case for quantum algorithms. We bring quantum scheduling algorithms closer to implementation by examining both the emerging iterative quantum algorithm framework, which comes with analytic guarantees compared to some classical algorithms, and distributed quantum computing methods whose relevance is on the rise as utility-scale problems begin to get solved with quantum computers. Drawing strength from several computing fronts, we develop a distributed/parallelization scheme in conjunction with the quantum algorithm design and apply these techniques to real-world datasets for wildfire detection. While our quantum subprocesses are currently too small to see significant quantum advantage, our results validate the utility of these techniques, and continue forging the path toward distributed quantum computing.
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An Information-Theoretic Analysis of Threshold Group Testing
Remco van der Hofstad, Noela M\"uller, Connor Riddlesden
https://arxiv.org/abs/2606.11353 https://arxiv.org/pdf/2606.11353 https://arxiv.org/html/2606.11353
arXiv:2606.11353v1 Announce Type: new
Abstract: We study the Threshold Group Testing (TGT) problem in the noiseless and non-adaptive setting, where the objective is to exactly recover a sparse binary vector from pooled tests, using as few tests as possible. In TGT, each test applied to a subset of items returns a positive outcome if the number of 1's (defective items) in that subset meets or exceeds a specified threshold, and has a negative outcome otherwise. We investigate how the complexity of TGT compares to that of Classical Group Testing (CGT), corresponding to the special case of the threshold equal to one, and analyse the impact of increasing the threshold on the required number of tests.
Our main contribution is the derivation of a sharp information-theoretic phase transition at $c_{\mathrm{inf}}^{\mathrm{TGT}}k\log(n/k)$ (non-adaptive) tests for TGT within the constant-column test design. The threshold constant $c_{\mathrm{inf}}^{\mathrm{TGT}}$ is expressed as a function of the prevalence of defectives and the threshold value. Our upper bound is derived under an analytic assumption, and we verify that this assumption is satisfied for a threshold value of 2.
The value of $c_{\mathrm{inf}}^{\mathrm{TGT}}$ reveals that TGT on the constant-column design has the same information-theoretic behaviour as CGT in the low-prevalence regime. Yet, strikingly, at higher prevalences, the threshold leads to a significant reduction in the number of tests.
On the other hand, we provide evidence that when the asymptotic proportion of defective items is positive, TGT actually becomes strictly harder than CGT (excluding trivial reductions).
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Crosslisted article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Towards fast computation of higher discrete homology
Jacob Ender, Chris Kapulkin
https://arxiv.org/abs/2606.00245 https://mastoxiv.page/@arXiv_csCG_bot/116679339682085058
- Real analytic lift of foliations of Thurston and Tsuboi
Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita
https://arxiv.org/abs/2606.01017 https://mastoxiv.page/@arXiv_mathGT_bot/116679449001037203
- Minimal intersection radius for $n$ growing, non-homogeneous ellipsoids in $\mathbb{R}^d$
Barbara Giunti, Sean Hill, Felix X. -F. Ye
https://arxiv.org/abs/2606.01548 https://mastoxiv.page/@arXiv_mathOC_bot/116679612978757695
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Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- On the boundary behavior of bounded analytic functions in the unit disc
Spyros Pasias
https://arxiv.org/abs/2305.10870 https://mastoxiv.page/@arXiv_mathCV_bot/110393970084886216
- Criteria for a fiberwise Fujiki/Kahler family to be locally Moishezon/projective
Jian Chen
https://arxiv.org/abs/2503.07548 https://mastoxiv.page/@arXiv_mathAG_bot/114142673223188294
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OpenPINT: Open-source Planning for Isoeffective Nuclear Treatments in BNCT research
Ian Postuma, Sara J. Gonz\'alez, Setareh Fatemi, Cristina Pezzi, Carolina Ruzzon, Oreste Nicrosini, Valerio Vercesi, Silva Bortolussi
https://arxiv.org/abs/2606.21476 https://arxiv.org/pdf/2606.21476 https://arxiv.org/html/2606.21476
arXiv:2606.21476v1 Announce Type: new
Abstract: Objective: Present OpenPINT (Open-source Planning for Isoeffective Nuclear Treatments), an open-source treatment planning system for nuclear therapies that integrates Monte Carlo dose calculations with modular dosimetric and radiobiological models for photon-isoeffective dose evaluation.
Approach: We describe the software architecture, implementation choices, and data flow from segmented geometry and source configuration to NIfTI dose outputs. We define BNCT-relevant dosimetric metrics and evaluate the workflow with reproducible analytic and voxelized cylindrical-phantom benchmarks, supplemented by a geometric patient-positioning example.
Main results: The module provides a reproducible and scriptable path for generating MCNP-ready inputs, extracting component-wise BNCT dose maps, and computing analysis-ready outputs for quality checks and decision support. Fine-resolution voxelized configurations reproduced the 1 mm analytic reference within 0.13% for the brain-limited irradiation-time endpoint, whereas the full voxelized sweep exposed deviations up to 4.42% in coarse 8--10 mm configurations. Patient-wide gamma pass rates were at least 99.60% for the evaluated mesh/interpolation cases, while low-dose DVH-tail quantities remained sensitive to boundary discretization.
Significance: This first paper isolates and validates the simulation-preparation and dosimetric-analysis core of an open-source BNCT treatment-planning platform. It establishes a foundation for subsequent work on optimization, biological weighting, and clinical workflow integration.
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Crosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Delta-pulse solution in Zener viscoelastic model
Andrea Mentrelli, Juan Luis Gonzalez-Santander, Francesco Mainardi
https://arxiv.org/abs/2606.04024 https://mastoxiv.page/@arXiv_mathph_bot/116690715796108102
- On the First Caustic of Elliptical Billiards
Aleksandra Uskova
https://arxiv.org/abs/2606.04132 https://mastoxiv.page/@arXiv_mathDS_bot/116690728606418123
- Combinatorial and analytic aspects of independence polynomials of zero divisor graphs
Bilal Ahmad Rather
https://arxiv.org/abs/2606.04789 https://mastoxiv.page/@arXiv_mathCO_bot/116690805845491494
- Median porosity is quasiconformally invariant
Tero Kilpel\"ainen, Antti V. V\"ah\"akangas
https://arxiv.org/abs/2606.05034 https://mastoxiv.page/@arXiv_mathCA_bot/116690760260142089
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Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Tur\'an type oscillation inequalities in $L^q$ norm on the boundary of convex polygonal domains
Polina Glazyrina, Szil\'ard Gy. R\'ev\'esz
https://arxiv.org/abs/2407.18404 https://mastoxiv.page/@arXiv_mathCV_bot/112868586500502516
- Subtlety of oscillation indices of oscillatory integrals of real analytic functions
In-Kyun Kim, Morihiko Saito
https://arxiv.org/abs/2511.16257 https://mastoxiv.page/@arXiv_mathCV_bot/115586697176529083
- On elliptic and quasiregularly elliptic manifolds
Fedor Manin, Eden Prywes
https://arxiv.org/abs/2410.19121 https://mastoxiv.page/@arXiv_mathDG_bot/113383920858643105
- Linear Reservoir: A Diagonalization-Based Optimization
Romain de Coudenhove, Yannis Bendi-Ouis, Anthony Strock, Xavier Hinaut
https://arxiv.org/abs/2602.19802 https://mastoxiv.page/@arXiv_csDC_bot/116125163434020056
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Bohr, Bohr-Rogosinski, and Landau-Type Results for a Generalized Class of Harmonic Mappings
Xiaoyuan Wang, Xintong Han, Rajesh Hossain, Molla Basir Ahamed
https://arxiv.org/abs/2606.02612 https://arxiv.org/pdf/2606.02612 https://arxiv.org/html/2606.02612
arXiv:2606.02612v1 Announce Type: new
Abstract: In this paper, we study the Bohr phenomenon for a generalized subclass of harmonic mappings defined by a second-order differential inequality in the unit disk. Specifically, we consider the class $\mathcal{BH}_0(\gamma, \delta)$, which extends several known subclasses of harmonic and analytic functions. By employing sharp coefficient estimates and growth results, we establish improved versions of Bohr-type inequalities, including refined Bohr radii and Bohr--Rogosinski radii for this class. Furthermore, we derive generalized inequalities involving higher-order coefficient sums and area terms, thereby extending classical Bohr inequalities in a harmonic setting. The sharpness of the obtained results is verified through extremal functions. In addition, we obtain Landau-type theorems for the class $\mathcal{BH}_0(\gamma, \delta)$, providing explicit bounds for the radius of univalence and the size of schlicht disks contained in the image domain. Our results not only unify and extend several earlier works but also provide new insights into the geometric behavior of harmonic mappings under differential constraints.
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