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Function Health, a health tracking tech company, raised a $298M Series B led by Redpoint Ventures at a $2.5B valuation, bringing its total funding to $350M (Kate Park/TechCrunch)
https://techcrunch.com/2025/11/19/funct…

Function Health raises $298M Series B at $2.5B valuation | TechCrunch
Function, which offers blood testing and medical imaging services, recently raised $298 million in a Series B round led by Redpoint Ventures at a valuation of $2.5 billion.

Iterative polynomial regularisation of $\text{P}_{\text{IV}}$-type: Hamiltonian systems and Newton polygons
Marta Dell'Atti, Galina Filipuk
https://arxiv.org/abs/2510.12378 …

Iterative polynomial regularisation of $\text{P}_{\text{IV}}$-type: Hamiltonian systems and Newton polygons
We study several polynomial Hamiltonian systems of $\text{P}_{\text{IV}}$-type (including the mixed case quasi-$\text{P}_{\text{IV}}$), and show that via the iterative process of polynomial regularisation, it is possible to identify the "minimal" Hamiltonian system. The selected Hamiltonian function is associated with the Newton polygon with minimal area and smallest highest total degree.

Sum of elements preceding records in set partitions
Walaa Asakly, Noor Kezil
https://arxiv.org/abs/2510.06521 https://arxiv.org/pdf/2510.06521

Sum of elements preceding records in set partitions
In this paper, we aim to derive an explicit formula for the total number of elements preceding records over all set partitions of $[n]$ with exactly $k$ blocks, as well as an asymptotic estimate for the total sum of elements preceding records in all set partitions of $[n]$, expressed in terms of Bell numbers. To achieve this, we analyze the generating function that enumerates set partitions of $[n]$ according to this statistic, which we denote by $\sumelements$.

Crosslisted article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP...
Zhiyuan Wang, Chenglang Yang, Jian Zhou
https://arxiv.org/abs/2511.10082 https://mastoxiv.page/@arXiv_mathph_bot/115547106851167902
toXiv_bot_toot

Weakly model-independent determination of total expansion during inflation
Dayeong Choi, Subin Jeon, Jinn-Ouk Gong
https://arxiv.org/abs/2509.21850 https://

Weakly model-independent determination of total expansion during inflation
We study systematically the total expansion experienced by a certain perturbation mode during single-field inflation, not resorting to explicit models of inflation or reheating. By assuming that during the reheating stage the equation of state w{rh} can be written as a function of e-folds, the unknown dynamics during reheating parametrized by w{rh} is confined within a time integral so that any dependence on the models of inflation and reheating is isolated from model-independent contributions.…

Pion bremsstrahlung in the splitting function formalism and the dark photon production
Dmitry Gorbunov, Ekaterina Kriukova
https://arxiv.org/abs/2510.00213 https://

Pion bremsstrahlung in the splitting function formalism and the dark photon production
We study the production of hypothetical vector portal mediators, dark photons $γ^\prime$, with masses in the range 0.4-3.5 GeV in the negatively charged pion-proton collisions $π^-p\rightarrow γ^\prime X$ via inelastic pion bremsstrahlung and QCD Drell-Yan-like process. In both cases we estimate the value of total dark photon production cross section and obtain the energy distribution for dark photons that could be produced in the NA64h experiment. We also present the mean energies of dark p…

Computing Envy-Free up to Any Good (EFX) Allocations via Local Search
Simina Br\^anzei
https://arxiv.org/abs/2510.05429 https://arxiv.org/pdf/2510.05429

Computing Envy-Free up to Any Good (EFX) Allocations via Local Search
We present a simple local search algorithm for computing EFX (envy-free up to any good) allocations of $m$ indivisible goods among $n$ agents with additive valuations. EFX is a compelling fairness notion, and whether such allocations always exist remains a major open question in fair division. Our algorithm employs simulated annealing with the total number of EFX violations as an objective function together with a single-transfer neighborhood structure to move through the space of allocations…

Crosslisted article(s) found for nlin.SI. https://arxiv.org/list/nlin.SI/new
[1/1]:
- On the Quantum Spectral Curve for $\text{AdS}_3\times \text{S}^3\times \text{S}^3\times \text{S}^...
Andrea Cavagli\`a, Rouven Frassek, Nicol\`o Primi, Roberto Tateo
https://arxiv.org/abs/2511.09635 https://mastoxiv.page/@arXiv_hepth_bot/115547236638892316
- Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP...
Zhiyuan Wang, Chenglang Yang, Jian Zhou
https://arxiv.org/abs/2511.10082 https://mastoxiv.page/@arXiv_mathph_bot/115547106851167902
toXiv_bot_toot

A pilot cohort study of a microfluidic-based point-of-care bilirubin measurement system
Jean Pierre Ndabakuranye, Inge W. G. Last, Kay Weng Choy, Peter Thurgood, Jason C. Steel, Genia Burchall, Stella Stylianou, Khashayar Khoshmanesh, Arman Ahnood
https://arxiv.org/abs/2510.08943

A pilot cohort study of a microfluidic-based point-of-care bilirubin measurement system
Objective The concentration of bilirubin in blood or serum is useful for assessing liver function as well as monitoring treatment. This study evaluates the clinical performance of a novel point-of-care (PoC) device for the detection of bilirubin in serum. The PoC device incorporates an integrated miniature optoelectronic sensing module and a microfluidic test cartridge. Methods Patients' serum total bilirubin concentrations, ranging from 2 μmol/L to 480 μmol/L, were measured using the PoC d…

Explicit formulae and topological descriptions of action-minimizing sets for 2-locally potentials of the XY model
Yuika Kajihara, Shoya Motonaga, Mao Shinoda
https://arxiv.org/abs/2510.02678

Explicit formulae and topological descriptions of action-minimizing sets for 2-locally potentials of the XY model
We consider ergodic optimization of a symbolic dynamics with uncountable alphabet $[0,1]$ for 2-locally constant potentials with the twist condition, and give explicit formulae of the associated Mather set and the Aubry set. Moreover, we investigate the total disconnectedness of the (quotient) Aubry set, in which case the differentiability of the potential function makes a remarkable difference. Although these results imply that the (quotient) Aubry set is small enough, we give a complete chara…

Entropy for a class of micro-economic models
Robert S MacKay
https://arxiv.org/abs/2510.01737 https://arxiv.org/pdf/2510.01737

Entropy for a class of micro-economic models
Chater and MacKay [CM] derived an entropy function of state for exchange economies satisfying a list of axioms, and showed that a change of state of a system of such economies is possible if and only if their total entropy does not decrease. In this paper, a large class of agent-based models is proved to satisfy the axioms in the thermodynamic limit, and the entropy is shown to be the logarithm of the partition function for their stationary distributions.

The Good, the Bad, and the Ugly of Atomistic Learning for "Clusters-to-Bulk" Generalization
Miko{\l}aj J. Gawkowski, Mingjia Li, Benjamin X. Shi, Venkat Kapil
https://arxiv.org/abs/2509.16601

The Good, the Bad, and the Ugly of Atomistic Learning for "Clusters-to-Bulk" Generalization
Training machine learning interatomic potentials (MLIPs) on total energies of molecular clusters using differential or transfer learning is becoming a popular route to extend the accuracy of correlated wave-function theory to condensed phases. A key challenge, however, lies in validation, as reference observables in finite-temperature ensembles are not available at the reference level. Here, we construct synthetic reference data from pretrained MLIPs and evaluate the generalizability of cluster…

Exact shape of an ideal heavy spring suspended at both ends
Cyril Belardinelli
https://arxiv.org/abs/2509.22829 https://arxiv.org/pdf/2509.22829

Exact shape of an ideal heavy spring suspended at both ends
In the present article we determine the exact shape of an ideal spring suspended at both ends. Historically, this goes under the name of Elastica problem. The total energy of the suspended spring is a functional depending on two independent functions: on one hand the function describing the shape of the hanging spring, on the other hand a non-negative function describing the mass distribution along the elongated spring. Calculus of Variations provides a rather short and elegant solution. This m…

Weak Gibbs measures for the natural extension of $(1/\beta, \beta)$-shifts
Miki Yamashita
https://arxiv.org/abs/2509.25621 https://arxiv.org/pdf/2509.25621…

Weak Gibbs measures for the natural extension of $(1/β, β)$-shifts
In this paper we consider the weak Gibbs measures for $(α, β)$-shifts. In the case of $α=0$, Pfister and Sullivan have given a necessary and sufficient condition on $β$ such that any equilibrium measure for a function of bounded total oscillations is a weak Gibbs measure in the natural extension of a $β$-shift. So it is natural to ask what happens when $α>0$. However, their proof cannot be applied to general $(α, β)$-shifts in a similar way. In this paper we consider the case of $α=1/Î…