Tootfinder

Development of a Model Order Reduced Arbitrary Lagrangian Eulerian (MORALE) formulation for structures subjected to dynamic moving loads
Atul Anantheswar, Jannick Kehls, Ines Wollny, Tim Brepols, Stefanie Reese, Michael Kaliske
https://arxiv.org/abs/2509.20069

Development of a Model Order Reduced Arbitrary Lagrangian Eulerian (MORALE) formulation for structures subjected to dynamic moving loads
In recent developments, it has been demonstrated that the Arbitrary Lagrangian Eulerian (ALE) formulation can be utilized to improve computational efficiency, when simulating the response of structures subjected to moving loads. It is also well established in literature, that Model Order Reduction (MOR) techniques significantly enhance calculation speed. This contribution details the combination of both these tools into a novel Model Order Reduced Arbitrary Lagrangian Eulerian (MORALE) formulat…

Big Bang Nucleosynthesis constraints on $f(T,L_m)$ gravity
Daniel F. P. Cruz, David S. Pereira, Francisco S. N. Lobo, Jos\'e P. Mimoso
https://arxiv.org/abs/2509.20309 https…

Big Bang Nucleosynthesis constraints on $f(T,L_m)$ gravity
In this work, we investigate Big Bang Nucleosynthesis (BBN) within the framework of $f(T,{L}_m)$ gravity, where the gravitational Lagrangian is generalized as a function of the torsion scalar $T$ and the matter Lagrangian ${L}_m$. We analyze three representative $f(T,{L}_m)$ models and derive constraints on their free parameters, $α$ and $β$, by combining observational bounds from the freeze-out temperature with the primordial abundances of deuterium, helium-4, and lithium-7. For each model, …

A twice continuously differentiable penalty function for nonlinear semidefinite programming problems and its application
Yuya Yamakawa
https://arxiv.org/abs/2509.19919 https://

A twice continuously differentiable penalty function for nonlinear semidefinite programming problems and its application
This paper presents a twice continuously differentiable penalty function for nonlinear semidefinite programming problems. In some optimization methods, such as penalty methods and augmented Lagrangian methods, their convergence property can be ensured by incorporating a penalty function into them, and hence several types of penalty functions have been proposed. In particular, these functions are designed to apply optimization methods to find first-order stationary points. Meanwhile, in recent y…

Tensor Spin Polarization Induced by Curved Freeze-Out Hypersurface
Zhong-Hua Zhang, Xu-Guang Huang
https://arxiv.org/abs/2509.20200 https://arxiv.org/pdf/2…

Tensor Spin Polarization Induced by Curved Freeze-Out Hypersurface
We investigate how the curvature of the freeze-out hypersurface polarizes massive vector bosons in relativistic heavy-ion collisions. Starting from the Proca Lagrangian and using the Wigner function formalism, we perform a systematic gradient expansion to obtain a covariant spin-polarization tensor expressed in terms of hydrodynamic fields and the curvature tensor of the freeze-out hypersurface. Analytic results for Bjorken and Gubser flows show that curvature anisotropy generates a non-zero te…

FusedANN: Convexified Hybrid ANN via Attribute-Vector Fusion
Alireza Heidari, Wei Zhang, Ying Xiong
https://arxiv.org/abs/2509.19767 https://arxiv.org/pdf/…

FusedANN: Convexified Hybrid ANN via Attribute-Vector Fusion
Vector search powers transformers technology, but real-world use demands hybrid queries that combine vector similarity with attribute filters (e.g., "top document in category X, from 2023"). Current solutions trade off recall, speed, and flexibility, relying on fragile index hacks that don't scale. We introduce FusedANN (Fused Attribute-Vector Nearest Neighbor), a geometric framework that elevates filtering to ANN optimization constraints and introduces a convex fused space via a Lagrangian-lik…

Conservative yet constitutively odd elasticity in prestressed metamaterials
Tyler A. Engstrom, Daniel M. Sussman
https://arxiv.org/abs/2509.19560 https://a…

Conservative yet constitutively odd elasticity in prestressed metamaterials
We introduce a design principle for mechanical metamaterials based on "odd elasticity, once removed." By revisiting classic results relating the variation of Cauchy stress and Lagrangian strain around a prestressed reference state, we show how anisotropic, equilibrium prestress can generate a major anti-symmetry in the material's constitutive response. Tuning the system to such a state drives it to a critical instability, radically transforming its acoustic properties. We then inverse-design se…

Homotopy rigidity of nearby Lagrangian cocores
Johan Asplund, Yash Deshmukh, Alex Pieloch
https://arxiv.org/abs/2511.09548 https://arxiv.org/pdf/2511.09548 https://arxiv.org/html/2511.09548
arXiv:2511.09548v1 Announce Type: new
Abstract: An exact Lagrangian submanifold $L \subset X^{2n}$ in a Weinstein sector is called a nearby Lagrangian cocore if it avoids all Lagrangian cocores and is equal to a shifted Lagrangian cocore at infinity. Let $k$ be the dimension of the core of the subcritical part of $X$. For $n \geq 2k 2$ we prove that that the inclusion of $L$ followed by the retract to the Lagrangian core of $X$ and the quotient by the $(n-k-1)$-skeleton of the core, is null-homotopic. As a consequence, in many examples, a nearby Lagrangian cocore is smoothly isotopic (rel boundary) to a Lagrangian cocore in the complement of the missed Lagrangian cocores. The proof uses the spectral wrapped Donaldson-Fukaya category with coefficients in the ring spectrum representing the bordism group of higher connective covers of the orthogonal group.
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Dual Optimistic Ascent (PI Control) is the Augmented Lagrangian Method in Disguise
Juan Ramirez, Simon Lacoste-Julien
https://arxiv.org/abs/2509.22500 https://

Dual Optimistic Ascent (PI Control) is the Augmented Lagrangian Method in Disguise
Constrained optimization is a powerful framework for enforcing requirements on neural networks. These constrained deep learning problems are typically solved using first-order methods on their min-max Lagrangian formulation, but such approaches often suffer from oscillations and can fail to find all local solutions. While the Augmented Lagrangian method (ALM) addresses these issues, practitioners often favor dual optimistic ascent schemes (PI control) on the standard Lagrangian, which perform w…

Lagrangian Formulation of the Snowplow Model and Operating Point for Z pinch Devices
Miguel C\'ardenas, Alejandro Nettle, Leandro N\'u\~nez
https://arxiv.org/abs/2510.11896

Lagrangian Formulation of the Snowplow Model and Operating Point for Z pinch Devices
We write down the lagrangian for the snowplow model of the Z pinch system. Then, we develop the Euler-Lagrange equations to find out the corresponding equations of motion. Next, we set a criterion for quantitatively estimating the performance of Z pinch devices. Finally, we apply this criterion to a specific Z pinch system.

Bidifferentials, Lagrangian projections and the Virasoro extension
Eduard Looijenga
https://arxiv.org/abs/2510.08208 https://arxiv.org/pdf/2510.08208

Bidifferentials, Lagrangian projections and the Virasoro extension
Let $C$ be a smooth projective curve over an algebraically closed field $k$ of characteristic zero. We prove that a Lagrangian supplement of $H^0(C, Ω_C)$ in the de Rham cohomology group $H^1_{dR}(C)$ determines and is determined by a particular type of symmetric bidifferential on $C^2$ (its polar divisor must be twice the diagonal and have biresidue one along it). When $k$ is the complex field, a natural choice of such supplement is $H^{0,1}(C)$ and we show that this corresponds with the bidi…

Revisiting Lagrangian Formulation of Stochastic inflation
Rajat Kumar Panda, Sukanta Panda, Abbas Tinwala
https://arxiv.org/abs/2510.03171 https://arxiv.or…

Revisiting Lagrangian Formulation of Stochastic inflation
We revisit the Lagrangian formulation of stochastic inflation, where the path-integral approach is employed to derive the Langevin equation governing the dynamics of long-wavelength fields, in contrast to the standard method where the Langevin equation is derived directly from the equation of motion of the full quantum field. Focusing on a massless, minimally coupled scalar field with quartic self-interaction in a de Sitter background, we re-derive the formal expression for the influence functi…

On the choice of matter Lagrangian $\mathcal{L_{M}}$ in $f(R,T)$ theory of gravity
Debadri Bhattacharjee, Pradip Kumar Chattopadhyay
https://arxiv.org/abs/2510.05246 https://

On the choice of matter Lagrangian $\mathcal{L_{M}}$ in $f(R,T)$ theory of gravity
The correct choice for the matter Lagrangian $(\mathcal{L_{M}})$ in the framework of $f(R,T)$ theory of gravity, has been a perennial problem. It has been a long-standing issue, whether to choose $\mathcal{L_{M}}=p$ or $-ρ$ as the proper definition of matter sector. In this work, we summarise that both choices lead to the same energy-momentum tensor. However, for these two choices, the structure of the TOV equations are different. We construct and solve TOV equations using MIT bag model equati…

End Khovanov homology and exotic Lagrangian planes
Yikai Teng
https://arxiv.org/abs/2510.01151 https://arxiv.org/pdf/2510.01151

End Khovanov homology and exotic Lagrangian planes
In this paper, we define the end Khovanov homology, which is an invariant of properly embedded surfaces in 4-space up to ambient diffeomorphism. Moreover, we apply this invariant to detect the first known examples of exotic Lagrangian and symplectic planes in 4-space.

Lepage equivalents for second order Lagrangians and applications: $2D$ modified higher order Boussinesq-type equations
Marcella Palese, Fabrizio Zanello
https://arxiv.org/abs/2510.07090

Lepage equivalents for second order Lagrangians and applications: $2D$ modified higher order Boussinesq-type equations
In the frame of the Lagrangian formalism on $r$-order prolongations of fibered manifolds and related structures such as (prolongation of) projectable vector fields, (sheaves of) differential forms and contact structures, we propose a Lagrangian two-field derivation of $2D$ modified Boussinesq equations, obtained as coupled systems of Euler--Lagrange (E-L) equations for the two fields. By means of a recursive formula involving geometric integration by parts formulae, we construct extended `full'…

On Hamiltonian stationarity of twisted Lagrangian tori in ${\mathbb{C}}^2$
Jingyi Chen, Patrik Coulibaly
https://arxiv.org/abs/2509.25493 https://arxiv.org…

On Hamiltonian stationarity of twisted Lagrangian tori in ${\mathbb{C}}^2$
Chekanov's exotic tori have been playing an important role in symplectic geometry as they are the only known examples of Lagrangian tori in ${\mathbb{C}}^2$ that are not Hamiltonian isotopic to a product torus. In this paper, we explore the differential geometry of a wider range of tori constructed by twisting simple closed planar curves, which include both certain product tori and Chekanov's exotic tori. In particular, we investigate the minimality of area of such twisted tori under Hamiltonia…

On the joint observability of flow fields and particle properties from Lagrangian trajectories: evidence from neural data assimilation
Ke Zhou, Samuel J. Grauer
https://arxiv.org/abs/2510.00479

On the joint observability of flow fields and particle properties from Lagrangian trajectories: evidence from neural data assimilation
We numerically investigate the joint observability of flow states and unknown particle properties from Lagrangian particle tracking (LPT) data. LPT offers time-resolved, volumetric measurements of particle trajectories, but experimental tracks are spatially sparse, potentially noisy, and may be further complicated by inertial transport, raising the question of whether both Eulerian fields and particle characteristics can be reliably inferred. To address this, we develop a data assimilation fram…

Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Lagrangian neural ODEs: Measuring the existence of a Lagrangian with Helmholtz metrics
Luca Wolf, Tobias Buck, Bjoern Malte Schaefer

Control variates from Eulerian and Lagrangian perturbation theory: Application to the bispectrum
Nickolas Kokron, Shi-Fan Chen
https://arxiv.org/abs/2510.07375 https://

Control variates from Eulerian and Lagrangian perturbation theory: Application to the bispectrum
Control variates have seen recent interest as a powerful technique to reduce the variance of summary statistics measured from costly cosmological $N$-body simulations. Of particular interest are the class of control variates which are analytically calculable, such as the recently introduced 'Zeldovich control variates' for the power spectrum of matter and biased tracers. In this work we present the construction of perturbative control variates in Eulerian and Lagrangian perturbation theory, and…

Halpern Acceleration of the Inexact Proximal Point Method of Rockafellar
Liwei Zhang, Fanli Zhuang, Ning Zhang
https://arxiv.org/abs/2511.10372 https://arxiv.org/pdf/2511.10372 https://arxiv.org/html/2511.10372
arXiv:2511.10372v1 Announce Type: new
Abstract: This paper investigates a Halpern acceleration of the inexact proximal point method for solving maximal monotone inclusion problems in Hilbert spaces. The proposed Halpern inexact proximal point method (HiPPM) is shown to be globally convergent, and a unified framework is developed to analyze its worst-case convergence rate. Under mild summability conditions on the inexactness tolerances, HiPPM achieves an $\mathcal{O}(1/k^{2})$ rate in terms of the squared fixed-point residual. Furthermore, under additional mild condition, the method retains a fast linear convergence rate. Building upon this framework, we further extend the acceleration technique to constrained convex optimization through the augmented Lagrangian formulation. In analogy to Rockafellar's classical results, the resulting accelerated inexact augmented Lagrangian method inherits the convergence rate and complexity guarantees of HiPPM. The analysis thus provides a unified theoretical foundation for accelerated inexact proximal algorithms and their augmented Lagrangian extensions.
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Local Lipschitz continuity for energy integrals with fast growth and lower order terms
Andrea Torricelli
https://arxiv.org/abs/2510.09142 https://arxiv.org…

Local Lipschitz continuity for energy integrals with fast growth and lower order terms
We consider integral functionals with fast growth and the lagrangian explicitly depending on $u$. We prove that the local minimizers are locally Lipschitz continuous.

Non-decomposable Lagrangian cobordisms between Legendrian knots
Roman Golovko, Daniel Kom\'arek
https://arxiv.org/abs/2511.08731 https://arxiv.org/pdf/2511.08731 https://arxiv.org/html/2511.08731
arXiv:2511.08731v1 Announce Type: new
Abstract: For a given $g>0$, we construct the family of non-decomposable Lagrangian cobordisms of genus $g$ between (stabilized) Legendrian knots in the standard contact three-sphere. The main method to obstruct decomposability that we use is the application of the Livingston's estimates.
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Uncontrolled geostationary satellites: mapping periodic transitions to chaos with Lagrangian Descriptors
Roberto Flores, Jerome Daquin, Mauro Pontani, Hadi Susanto, Elena Fantino
https://arxiv.org/abs/2510.12227

Uncontrolled geostationary satellites: mapping periodic transitions to chaos with Lagrangian Descriptors
Uncontrolled geostationary satellites abandoned near an unstable equilibrium point of the equator experience irregular transitions between dynamical states (continuous circulation, long and short libration). They are caused by the interaction between the longitudinal dynamics, governed by the tesseral harmonics of the geopotential, and the orbital precession forced by Earth's oblateness and lunisolar perturbations. The transitions are extremely sensitive to small perturbations, making the long-…

Exact non-Lagrangian Schur index in closed form
Yiwen Pan, Peihe Yang
https://arxiv.org/abs/2509.20439 https://arxiv.org/pdf/2509.20439

Exact non-Lagrangian Schur index in closed form
The Schur index is a powerful tool to probe the spectrum and dualities of 4d $\mathcal{N}=2$ superconformal field theories (SCFTs), deeply related to 2d vertex operator algebras (VOAs). In this paper, we compute the Schur index in closed form for two series of non-Lagrangian theories. We explore and classify the Argyres-Douglas (AD) theories $D_p^b(\mathfrak{sl}_N,[Y])$ realized as the $SU(2)$ gauging of two AD matter theories, where we identify several infinite families with interesting centra…

Lagrangian description and quantification of scalar mixing in fluid flows from particle tracks
Anna Kl\"unker, Alexandra von Kameke, Kathrin Padberg-Gehle
https://arxiv.org/abs/2509.25030

Lagrangian description and quantification of scalar mixing in fluid flows from particle tracks
Understanding, quantifying and controlling transport and mixing processes are central in the study of fluid flows. Many different Lagrangian approaches have been proposed for detecting organizing flow structures that determine material transport, including recent data-based methods that aim to identify such coherent objects directly from tracer trajectories. These methods have helped to gain a better understanding of the underlying dynamics. However, the quantification of scalar mixing has not …

BALLAST: Bayesian Active Learning with Look-ahead Amendment for Sea-drifter Trajectories under Spatio-Temporal Vector Fields
Rui-Yang Zhang, Henry B. Moss, Lachlan Astfalck, Edward Cripps, David S. Leslie
https://arxiv.org/abs/2509.26005

BALLAST: Bayesian Active Learning with Look-ahead Amendment for Sea-drifter Trajectories under Spatio-Temporal Vector Fields
We introduce a formal active learning methodology for guiding the placement of Lagrangian observers to infer time-dependent vector fields -- a key task in oceanography, marine science, and ocean engineering -- using a physics-informed spatio-temporal Gaussian process surrogate model. The majority of existing placement campaigns either follow standard `space-filling' designs or relatively ad-hoc expert opinions. A key challenge to applying principled active learning in this setting is that Lagra…

A semi-Lagrangian method for solving state constraint Mean Field Games in Macroeconomics
Fabio Camilli, Qing Tang, Yong-shen Zhou
https://arxiv.org/abs/2510.00768 https://

A semi-Lagrangian method for solving state constraint Mean Field Games in Macroeconomics
We study continuous-time heterogeneous agent models cast as Mean Field Games, in the Aiyagari-Bewley-Huggett framework. The model couples a Hamilton-Jacobi-Bellman equation for individual optimization with a Fokker-Planck-Kolmogorov equation for the wealth distribution. We establish a comparison principle for constrained viscosity solutions of the HJB equation and propose a semi-Lagrangian (SL) scheme for its numerical solution, proving convergence via the Barles-Souganidis method. A policy ite…

Periodic Event-Triggered Prescribed Time Control of Euler-Lagrange Systems under State and Input Constraints
Chidre Shravista Kashyap, Karnan A, Pushpak Jagtap, Jishnu Keshavan
https://arxiv.org/abs/2510.02769

Periodic Event-Triggered Prescribed Time Control of Euler-Lagrange Systems under State and Input Constraints
This article proposes a periodic event-triggered adaptive barrier control policy for the trajectory tracking problem of perturbed Euler-Lagrangian systems with state, input, and temporal (SIT) constraints. In particular, an approximation-free adaptive-barrier control architecture is designed to ensure prescribed-time convergence of the tracking error to a prescribed bound while rejecting exogenous disturbances. In contrast to existing approaches that necessitate continuous real-time control act…

Simultaneous Quantization and Reduction of Constrained Systems
Jianhao M. Yang
https://arxiv.org/abs/2509.22747 https://arxiv.org/pdf/2509.22747

Simultaneous Quantization and Reduction of Constrained Systems
We present a novel framework for quantizing constrained quantum systems in which the processes of quantization and constraint enforcement are performed simultaneously. The approach is based on an extension of the stationary action principle, incorporating an information-theoretic term arising from vacuum fluctuations. Constraints are included directly in the Lagrangian via Lagrange multipliers, allowing the subsequent variational procedure to yield the quantum dynamics without ambiguity regardi…

On Runge-Kutta convolution quadrature based fractional variational integrators
Khaled Hariz, Sina Ober-Bl\"obaum, Fernando Jimenez
https://arxiv.org/abs/2510.11082 https://…

On Runge-Kutta convolution quadrature based fractional variational integrators
Lagrangian systems subject to fractional damping can be incorporated into a variational formalism. The construction can be made by doubling the state variables and introducing fractional derivatives \cite{JiOb2}. The main objective of this paper is to use the Runge-Kutta convolution quadrature (RKCQ) method for approximating fractional derivatives, combined with higher order Galerkin methods in order to derive fractional variational integrators (FVIs). We are specially interested in the CQ base…

Around the center
Maria Gorelik, Vladimir Hinich, Vera Serganova
https://arxiv.org/abs/2510.03928 https://arxiv.org/pdf/2510.03928

Around the center
The center of a semisimple Lie algebra can be described as the algebra of W-invariant functions on the dual of the Cartan subalgebra. The centers of many Lie superalgebras have a similar description, but the defining equivalence relation on the dual of the Cartan subalgebra is not given by a finite group action. Lagrangian equivalence relations that we introduce generalize the action of a subgroup of the orthogonal group. Using them, we present a new proof of a result by Ian Musson about the ce…

Accelerating cosmological simulations on GPUs: a portable approach using OpenMP
M. D. Lepinzan, G. Lacopo, D. Goz, G. Taffoni, P. Monaco, P. J. Elahi, U. Varetto, M. Cytowski
https://arxiv.org/abs/2510.02873

Accelerating cosmological simulations on GPUs: a portable approach using OpenMP
In this work we present the porting to Graphics Processing Units (GPUs, using OpenMP target directives) and optimization of a key module within the cosmological {\pinocchio} code, a Lagrangian Perturbation Theory (LPT)-based framework widely used for generating dark matter (DM) halo catalogs. Our optimization focuses on a specific segment of the code responsible for calculating the collapse time of each particle involved in the simulation. Due to the embarrassingly parallel nature of this compu…

Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
Ana-Maria Boldeanu, Mircea Neagu
https://arxiv.org/abs/2510.09843 https://arxiv.org…

Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
The aim of this paper is to develop, via the least squares variational method, the Lagrange-Hamilton geometry (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by a Lotka-Volterra dynamical system, a simple model of the population dynamics of species competing for some common resource. From a geometrical point of view, the Jacobi stability of this system is discussed.

Field Theoretic Approach to Interacting Two Body Tunneling
Guo Ye
https://arxiv.org/abs/2510.11656 https://arxiv.org/pdf/2510.11656

Field Theoretic Approach to Interacting Two Body Tunneling
Two body tunneling problems are hard to treat analytically due to the incompatibility between tunneling and perturbation theory. The lack of classical solutions of the Euclidean Lagrangian of continuous systems further thwarts semi-classical expansions. To develop an analytic theory which provides insight on interacting two-particle tunneling, we use new results to derive the Bethe-Salpeter equation of a tunneling field theory with Yukawa coupling. We show that in the one plus one dimensional c…

Higher structure of non-invertible symmetries from Lagrangian descriptions
Seolhwa Kim, Orr Sela, Zhengdi Sun
https://arxiv.org/abs/2509.20540 https://arxi…

Higher structure of non-invertible symmetries from Lagrangian descriptions
The symmetry structure of a quantum field theory is determined not only by the topological defects that implement the symmetry and their fusion rules, but also by the topological networks they can form, which is referred to as the higher structure of the symmetry. In this paper, we consider theories with non-invertible symmetries that have an explicit Lagrangian description, and use it to study their higher structure. Starting with the 2d free compact boson theory and its non-invertible duality…

The Cryogenic Lagrangian Exploration Module: a rotating cryostat for the study of quantum vortices in Helium II via particle seeding
Jeremy Vessaire, Charles Peretti, Florian Lorin, Emeric Durozoy, Gregory Garde, Panayotis Spathis, Benoit Chabaud, Mathieu Gibert
https://arxiv.org/abs/2510.00026

The Cryogenic Lagrangian Exploration Module: a rotating cryostat for the study of quantum vortices in Helium II via particle seeding
The study of quantum vortex dynamics in HeII offers great potential for advancing quantum-fluid models. Bose-Einstein condensates, neutron stars, and even superconductors exhibit quantum vortices, whose interactions are crucial for dissipation in these systems. These vortices have quantized velocity circulation around their cores, which, in HeII, are of atomic size. They have been observed indirectly, through methods such as second sound attenuation or electron bubble imprints on photosensitive…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Reduction of Cosymplectic groupoids by cosymplectic moment maps
Daniel L\'opez Garcia, Nicolas Martinez Alba
https://arxiv.org/abs/2403.03178 https://mastoxiv.page/@arXiv_mathSG_bot/112047445404247851
- Algebraic Lagrangian cobordisms, flux and the Lagrangian Ceresa cycle
Alexia Corradini
https://arxiv.org/abs/2501.12850 https://mastoxiv.page/@arXiv_mathSG_bot/113876409190220093
- Systolic $S^1$-index and characterization of non-smooth Zoll convex bodies
Stefan Matijevi\'c
https://arxiv.org/abs/2501.13856 https://mastoxiv.page/@arXiv_mathSG_bot/113882071591631203
- Infinite-dimensional Lagrange-Dirac systems with boundary energy flow I: Foundations
Fran\c{c}ois Gay-Balmaz, \'Alvaro Rodr\'iguez Abella, Hiroaki Yoshimura
https://arxiv.org/abs/2501.17551 https://mastoxiv.page/@arXiv_mathSG_bot/113916045279374601
- The Simplicity of the Group of Weakly Hamiltonian Diffeomorphisms on Cosymplectic Manifolds
S. Tchuiaga, P. Bikorimana
https://arxiv.org/abs/2503.10224 https://mastoxiv.page/@arXiv_mathSG_bot/114159599811622365
- Regular semisimple Hessenberg varieties with cohomology rings generated in degree two
Mikiya Masuda, Takashi Sato
https://arxiv.org/abs/2301.03762 https://mastoxiv.page/@arXiv_mathAG_bot/109669428824274443
- Billiards and Hofer's Geometry
Mark Berezovik, Konstantin Kliakhandler, Yaron Ostrover, Leonid Polterovich
https://arxiv.org/abs/2507.04767 https://mastoxiv.page/@arXiv_mathDS_bot/114817105311885626
- Geometric, topological and dynamical properties of conformally symplectic systems, normally hyper...
Marian Gidea, Rafael de la Llave, Tere M-Seara
https://arxiv.org/abs/2508.14794 https://mastoxiv.page/@arXiv_mathDS_bot/115065890424433224
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Uniqueness of solutions to MFG systems with large discount
Marco Cirant, Elisa Continelli
https://arxiv.org/abs/2510.09280 https://arxiv.org/pdf/2510.09280…

Uniqueness of solutions to MFG systems with large discount
We prove that solutions to a class of Mean Field Game systems with discount are unique provided that the discount factor is large enough, and the Lagrangian term is (proportionally) small enough. This identifies an asymptotic uniqueness regime that falls outside the usual ones involving monotonicity.

Non-Gaussian statistics of concentration fluctuations in free liquid diffusion
Marco Bussoletti, Mirko Gallo, Amir Jafari, Gregory L. Eyink
https://arxiv.org/abs/2509.25511 http…

Non-Gaussian statistics of concentration fluctuations in free liquid diffusion
We show that the three-point skewness of concentration fluctuations is non-vanishing in free liquid diffusion, even in the limit of vanishingly small mean concentration gradients. We exploit a high-Schmidt reduction of nonlinear Landau-Lifshitz hydrodynamics for a binary fluid, both analytically and by a massively parallel Lagrangian Monte Carlo simulation. Non-Gaussian statistics result from nonlinear coupling of concentration fluctuations to thermal velocity fluctuations, analogous to the tur…

An Augmented Lagrangian Value Function Method for Lower-level Constrained Stochastic Bilevel Optimization
Hantao Nie, Jiaxiang Li, Zaiwen Wen
https://arxiv.org/abs/2509.24249 ht…

An Augmented Lagrangian Value Function Method for Lower-level Constrained Stochastic Bilevel Optimization
Recently, lower-level constrained bilevel optimization has attracted increasing attention. However, existing methods mostly focus on either deterministic cases or problems with linear constraints. The main challenge in stochastic cases with general constraints is the bias and variance of the hyper-gradient, arising from the inexact solution of the lower-level problem. In this paper, we propose a novel stochastic augmented Lagrangian value function method for solving stochastic bilevel optimizat…

Finiteness and holonomicity of skein modules
David Jordan, Iordanis Romaidis
https://arxiv.org/abs/2509.22313 https://arxiv.org/pdf/2509.22313

Finiteness and holonomicity of skein modules
We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal skein algebra of the boundary - a property including finite generation and a Lagrangian support condition. Our approach involves defining skein transfer bimodules, topologically obtained by 2-handle attachments, and establishing q-analogues of statements in D-module theory to prove preservation of holonomicity.

Replaced article(s) found for physics.flu-dyn. https://arxiv.org/list/physics.flu-dyn/new
[1/1]:
- Lagrangian filtering for wave-mean flow decomposition
Lois E. Baker, Hossein A. Kafiabad, Cai Maitland-Davies, Jacques Vanneste

Exact Kerr--Schild spacetimes from linearized kinetic gravity braiding
Bence Juh\'asz, L\'aszl\'o \'Arp\'ad Gergely
https://arxiv.org/abs/2509.20576 https://…

Exact Kerr--Schild spacetimes from linearized kinetic gravity braiding
We generalize our recent work on k-essence sourcing Kerr--Schild spacetimes to kinetic gravity braiding scalar field. For k-essence, in order a perturbative Kerr--Schild type solution to become exact, the k-essence Lagrangian was either linear in the kinetic term (with the Kerr--Schild congruence autoparallel) or unrestricted, provided the scalar gradient along the congruence vanishes. A similar reasoning for the pure kinetic braiding contribution leads to either a vanishing Lagrangian or a sca…

Crosslisted article(s) found for cs.NE. https://arxiv.org/list/cs.NE/new
[1/1]:
- Physics of Learning: A Lagrangian perspective to different learning paradigms
Siyuan Guo, Bernhard Sch\"olkopf

Effects of hadronic molecule $N(2080)3/2^-$ on $K^{* }\Lambda$ photoproduction
Wen-Ya Tian, Neng-Chang Wei, Yu-Fei Wang, Fei Huang, Bing-Song Zou
https://arxiv.org/abs/2510.03673

Effects of hadronic molecule $N(2080)3/2^-$ on $K^{*+}Λ$ photoproduction
In our previous work [Phys. Rev. C {\bf 101}, 014003 (2020)], we have analyzed all available data on differential cross sections and spin density matrix elements for the $γp \to K^{\ast +} Λ$ reaction using an effective Lagrangian approach. There, the $t$-channel $K$, $K^*$, and $κ$ exchanges, the $u$-channel $Λ$, $Σ$, and $Σ^*$ exchanges, the $s$-channel $N$, $N(2060)5/2^-$, and $N(2000)5/2^+$ exchanges, and the interaction current were taken into account in constructing the reaction amp…

Covariance-Adaptive Bouncy Particle Samplers via Split Lagrangian Dynamics
Augustin Chevallier, Erik Raab
https://arxiv.org/abs/2509.24847 https://arxiv.or…

Covariance-Adaptive Bouncy Particle Samplers via Split Lagrangian Dynamics
Piecewise Deterministic Markov Processes (PDMPs) provide a powerful framework for continuous-time Monte Carlo, with the Bouncy Particle Sampler (BPS) as a prominent example. Recent advances through the Metropolised PDMP framework allow local adaptivity in step size and effective path length, the latter acting as a refreshment rate. However, current PDMP samplers cannot adapt to local changes in the covariance structure of the target distribution. We extend BPS by introducing a position-depend…

Increase in packing density during multi-layer powder spreading: An experimental and numerical study
Olivier Gaboriault, Anatolie Timercan, Roger Pelletier, Louis-Philippe Lefebvre, David Melancon, Bruno Blais
https://arxiv.org/abs/2509.26402

Increase in packing density during multi-layer powder spreading: An experimental and numerical study
A custom apparatus designed to isolate and replicate the spreading process of metal powder in additive manufacturing demonstrates a sudden and unexplained increase in packing density beyond layers 5 to 10. We replicate the experiments that lead to densification with the discrete element method (DEM) using \lethe{}, an open-source software framework. We show that large-scale multi-layer DEM simulations are able to reproduce the densification observed experimentally. Using the Lagrangian simulati…

The SYZ conjecture for singular moduli spaces of sheaves on K3 surfaces
Claudio Onorati, \'Angel David R\'ios Ortiz
https://arxiv.org/abs/2510.01005 https://

The SYZ conjecture for singular moduli spaces of sheaves on K3 surfaces
In this paper we prove the SYZ conjecture for irreducible symplectic varieties that are locally trivial deformation equivalent to moduli spaces of sheaves on K3 surfaces. As an intermediate step in the argument, we generalise to the singular setting a result of Kamenova--Verbitsky and Matsushita about moduli spaces of lagrangian fibrations of primitive symplectic varieties. Two further corollaries are also presented: the computation of the Huybrechts--Riemann--Roch polynomial and of the polaris…

Lagrangian aspects of Yudovich theory for 2D Euler
Theodore D. Drivas, Joonhyun La
https://arxiv.org/abs/2509.21121 https://arxiv.org/pdf/2509.21121…

Lagrangian aspects of Yudovich theory for 2D Euler
In this note, we establish Yudovich's existence and uniqueness result for bounded (as well as mildly unbounded) vorticity weak solution of the two-dimensional incompressible Euler equations. As a biproduct of our proof, we establish some regularity results for the Yudovich solution map as it depends of the initial conditions and the fluid domain.

A robust framework for frictional fault contact in geological formations using a stabilized augmented Lagrangian approach
Matteo Frigo, Nicola Castelletto, Matteo Cusini, Randolph R. Settgast, Hamdi A. Tchelepi
https://arxiv.org/abs/2509.20528

A robust framework for frictional fault contact in geological formations using a stabilized augmented Lagrangian approach
Numerical simulations are essential for evaluating the performance and safety of geological engineered systems such as geologic carbon storage sites, enhanced geothermal fields, and oil and gas reservoirs. A key challenge lies in accurately modeling the frictional contact behavior along fault surfaces. This problem involves inequality constraints that arise from the physics of frictional slip, requiring specialized numerical methods to handle the resulting highly nonlinear and path-dependent be…

Regular Lagrangians in Lefschetz fibrations
Joseph Breen, Agniva Roy, Luya Wang
https://arxiv.org/abs/2510.12170 https://arxiv.org/pdf/2510.12170

Regular Lagrangians in Lefschetz fibrations
We characterize regularity of Lagrangian submanifolds in Weinstein Lefschetz fibrations, establishing a conjecture of Giroux and Pardon. Our main result is the Weinstein analogue of a closed symplectic Lefschetz pencil result of Auroux, Muñoz, and Presas. As an application, given a Legendrian link in tight $S^3$ and an exact filling which is part of an arboreal skeleton for the $4$-ball, we build a Lefschetz fibration such that the image of the filling and all of its mutations are arcs in the …

Geoffrion's theorem beyond finiteness and rationality
Santanu S. Dey, Fr\'ed\'eric Meunier, Diego Moran Ramirez
https://arxiv.org/abs/2510.10966 https://

Geoffrion's theorem beyond finiteness and rationality
Geoffrion's theorem is a fundamental result from mathematical programming assessing the quality of Lagrangian relaxation, a standard technique to get bounds for integer programs. An often implicit condition is that the set of feasible solutions is finite or described by rational linear constraints. However, we show through concrete examples that the conclusion of Geoffrion's theorem does not necessarily hold when this condition is dropped. We then provide sufficient conditions ensuring the vali…

Unified Dark Matter and Dark Energy in a model of Non-Canonical Scalar-Tensor Theory
Nihal Jalal Pullisseri, Sanil Unnikrishnan
https://arxiv.org/abs/2510.07103 https://

Unified Dark Matter and Dark Energy in a model of Non-Canonical Scalar-Tensor Theory
We consider a model of non-canonical scalar-tensor theory in which the kinetic term in the Brans-Dicke action is replaced by a non-canonical scalar field Lagrangian $\mathcal{L}(X, ϕ)= λX^αϕ^β- V(ϕ)$ where $X = (1/2) \partial_μ ϕ\partial^μ ϕ$ and $α$, $β$ and $λ$ are parameters of the model. This can be considered as a simple non-canonical generalization of the Brans-Dicke theory with a potential term which corresponds to a special case of this model with the values of the paramete…

From variational principles to geometry
Jordi Gaset Rif\`a
https://arxiv.org/abs/2509.22171 https://arxiv.org/pdf/2509.22171…

From variational principles to geometry
A method to construct a geometric structure with the same solutions as a given variational principle is presented. The method applies to large families of variational principles. In particular, the known results that assign cosymplectic geometry to Hamilton's principle and cocontact geometry to Herglotz's principle for regular Lagrangians are recovered. The unified Lagrangian-Hamiltonian formalism is also recovered via the absorption of the holonomy conditions. The method is applied to singular…

The significance of two-way coupling in two-dimensional, dusty turbulence
Harshit Joshi, Samriddhi Sankar Ray
https://arxiv.org/abs/2510.10463 https://arxi…

The significance of two-way coupling in two-dimensional, dusty turbulence
The significance of small-scale forcing of particles on the carrier two-dimensional turbulent flow has been shown [Pandey, Perlekar, and Mitra, Phys. Rev. E, 100, 013114 (2019)] to influence the spectral scaling properties of the carrier fluid. We investigate possible consequences of such two-way coupling in a turbulent suspension of inertial particles in one and two-point Eulerian and Lagrangian statistics. In particular, we find signatures of a possibly enhanced intermittency in the vorticity…

Charged Black-Hole Binary Evolution at Second Post-Newtonian Order
Andrea Placidi, Elisa Grilli, Marta Orselli, Matteo Pegorin, Nicola Bartolo, Pierpaolo Mastrolia
https://arxiv.org/abs/2509.20432

Charged Black-Hole Binary Evolution at Second Post-Newtonian Order
We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order (2PN), combining Effective Field Theory and classical methods. We compute the NNLO conservative Lagrangian, LO dissipative effects in harmonic and Lorenz gauges, and provide the equations of motion, center-of-mass transformations, and the Lagrangian/Hamiltonia…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Non-decomposable Lagrangian cobordisms between Legendrian knots
Roman Golovko, Daniel Kom\'arek
https://arxiv.org/abs/2511.08731 https://mastoxiv.page/@arXiv_mathSG_bot/115541377678336506
- Spaces of Legendrian cables and Seifert fibered links
Eduardo Fern\'andez, Hyunki Min
https://arxiv.org/abs/2310.12385 https://mastoxiv.page/@arXiv_mathGT_bot/111265563434686287
- Almost Hermitian structures on virtual moduli spaces of non-Abelian monopoles and applications to...
Paul M. N. Feehan, Thomas G. Leness
https://arxiv.org/abs/2410.13809 https://mastoxiv.page/@arXiv_mathDG_bot/113327305560976416
- Quantum cohomology, shift operators, and Coulomb branches
Ki Fung Chan, Kwokwai Chan, Chin Hang Eddie Lam
https://arxiv.org/abs/2505.23340 https://mastoxiv.page/@arXiv_mathAG_bot/114595582234065991
- One application of Duistermaat-Heckman measure in quantum information theory
Lin Zhang, Xiaohan Jiang, Bing Xie
https://arxiv.org/abs/2507.02369 https://mastoxiv.page/@arXiv_quantph_bot/114794376818737255
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Annealed Ensemble Kalman Inversion for Constrained Nonlinear Model Predictive Control: An ADMM Approach
Ahmed Khalil, Mohamed Safwat, Efstathios Bakolas
https://arxiv.org/abs/2510.00559

Annealed Ensemble Kalman Inversion for Constrained Nonlinear Model Predictive Control: An ADMM Approach
This work proposes a novel Alternating Direction Method of Multipliers (ADMM)-based Ensemble Kalman Inversion (EKI) algorithm for solving constrained nonlinear model predictive control (NMPC) problems. First, the stage-wise nonlinear inequality constraints in the NMPC problem are embedded via an augmented Lagrangian with nonnegative slack variables. We then show that the unconstrained augmented Lagrangian formulation of the NMPC admits a Bayesian interpretation: under a Gaussian observation mod…

Mirror symmetry and open/closed correspondence for the projective line
Jinghao Yu, Zhengyu Zong
https://arxiv.org/abs/2509.24727 https://arxiv.org/pdf/2509…

Mirror symmetry and open/closed correspondence for the projective line
We study the open/closed correspondence for the projective line via mirror symmetry. More explicitly, we establish a correspondence between the generating function of disk Gromov-Witten invariants of the complex projective line $\mathbb{P}^1$ with boundary condition specified by an $S^1$-invariant Lagrangian sub-manifold $L$ and the asymptotic expansion of the $I$-function of a toric surface $\mathcal{S}$.

Six loop critical exponent analysis for Lee-Yang and percolation theory
J. A. Gracey
https://arxiv.org/abs/2510.05723 https://arxiv.org/pdf/2510.05723

Six loop critical exponent analysis for Lee-Yang and percolation theory
Using the recent six loop renormalization group functions for Lee-Yang and percolation theory constructed by Schnetz from a scalar cubic Lagrangian, we deduce the $ε$ expansion of the critical exponents for both cases. Estimates for the exponents in three, four and five dimensions are extracted using two-sided Padé approximants and shown to be compatible with values from other approaches.

Strong decays of the $DK^\ast$ and $\bar{D}K^{\ast}$ molecular states
Zi-Li Yue, Cheng-Jian Xiao, H. Garc\'ia-Tecocoatzi, Dian-Yong Chen, Elena Santopinto
https://arxiv.org/abs/2509.25920

Strong decays of the $DK^\ast$ and $\bar{D}K^{\ast}$ molecular states
Inspired by the abundant structure near the threshold of the $D^{(*)}K^{(*)}/\bar{D}^{(*)}K^{(*)}$, we estimate the strong decay properties of the $T_{c\bar{s}1}^{f/a}$ and $T_{\bar{c}\bar{s}1}^{f/a}$ with $I(J^{P})=0/1(1^{+})$ in $DK^{*}$ and $\bar{D}K^{*}$ molecular scenarios in the present paper. By employing the effective Lagrangian approach, the widths of the processes $T_{c\bar{s}1}^{f}\to D^{*}K, D_{s}^{*}η, DKπ$, $T_{c\bar{s}1}^{a}\to D^{*}K, D_{s}^{*}π, DKπ$, and $T_{\bar{c}\bar{s}…

From Dark Radiation to Dark Energy: Unified Cosmological Evolution in K-essence Models
Eladio Moreno, Josue De-Santiago
https://arxiv.org/abs/2509.25088 https://

From Dark Radiation to Dark Energy: Unified Cosmological Evolution in K-essence Models
We study a class of Unified Dark Matter (UDM) models based on generalized K-essence, where a single scalar field with non-canonical kinetic terms accounts for dark radiation, dark matter, and dark energy. Starting from the purely kinetic Lagrangian proposed by Scherrer (2004), we extend the analysis to quadratic and exponential scalar potentials and explore their phenomenology. All models are implemented in a modified version of \texttt{Hi\_CLASS} and confronted with data from \textit{Planck} 2…

Local Well-Posedness For Barotropic Compressible Fluid-Viscoelastic Shell Interactions
Pierre Marie Ngougoue Ngougoue
https://arxiv.org/abs/2510.03936 https://

Local Well-Posedness For Barotropic Compressible Fluid-Viscoelastic Shell Interactions
We study a three-dimensional barotropic compressible Navier-Stokes flow interacting with a viscoelastic shell that occupies a portion of the fluid boundary. The analysis is entirely Eulerian and the moving interface is parametrised by a localised Hanzawa transform supported near the shell patch, which preserves the transport structure of the continuity equation and avoids a global Lagrangian map. We prove local-in-time existence and uniqueness of strong solutions for compatible data and without…

Efficient manifold evolution algorithm using adaptive B-Spline interpolation
Muhammad Ammad, Leevan Ling
https://arxiv.org/abs/2510.01790 https://arxiv.org…

Efficient manifold evolution algorithm using adaptive B-Spline interpolation
This paper explores an efficient Lagrangian approach for evolving point cloud data on smooth manifolds. In this preliminary study, we focus on analyzing plane curves, and our ultimate goal is to provide an alternative to the conventional radial basis function (RBF) approach for manifolds in higher dimensions. In particular, we use the B-Spline as the basis function for all local interpolations. Just like RBF and other smooth basis functions, B-Splines enable the approximation of geometric featu…

A curvilinear surface ALE formulation for self-evolving Navier-Stokes manifolds - Stabilized finite element formulation
Roger A. Sauer
https://arxiv.org/abs/2510.05119 https://

A curvilinear surface ALE formulation for self-evolving Navier-Stokes manifolds - Stabilized finite element formulation
This work presents a stabilized finite element formulation of the arbitrary Lagrangian-Eulerian (ALE) surface theory for Navier-Stokes flow on self-evolving manifolds developed in Sauer (2025). The formulation is physically frame-invariant, applicable to large deformations, and relevant to fluidic surfaces such as soap films, capillary menisci and lipid membranes, which are complex and inherently unstable physical systems. It is applied here to area-incompressible surface flows using a stabiliz…

On Stability and Isotropization of Kasner Solution in $R^{2}$ Gravity
Dmitri Pogosyan, Akash Kav
https://arxiv.org/abs/2509.25470 https://arxiv.org/pdf/250…

On Stability and Isotropization of Kasner Solution in $R^{2}$ Gravity
The fate of the Universe that initially expands anisotropically in the theory with $R^{2}$ quantum-gravitational term in the Lagrangian is investigated. The stability of Kasner-like expansion, specifically in the class of Kantowski-Sachs spacetimes, is analyzed. Kasner solutions are found to be unstable, with the bifurcation line between the initial conditions that lead to collapsing universes and the ones that set the universe for continuing expansion that becomes isotropic, established analyt…

Stability Conditions and Moduli Spaces on Kuznetsov Component of Cubic Fivefolds
Peize Liu
https://arxiv.org/abs/2509.21454 https://arxiv.org/pdf/2509.2145…

Stability Conditions and Moduli Spaces on Kuznetsov Component of Cubic Fivefolds
We study the Kuznetsov component of cubic fivefolds via their quadric fibration model. We construct a family of Serre-invariant Bridgeland stability conditions on the Kuznetsov component and establish the non-emptiness of all moduli spaces of stable objects. As an application, we identify the lowest-dimensional moduli with the Fano surface of planes of the cubic fivefold, and recover a classical result of its Lagrangian immersion into a hyper-Kähler manifold.

Electromagnetic instability of vacuum with instantons in the holographic plasma
Shao-cheng Hou, Si-wen Li
https://arxiv.org/abs/2510.04348 https://arxiv.or…

Electromagnetic instability of vacuum with instantons in the holographic plasma
Using the gauge-gravity duality, we study the electromagnetic instability of vacuum with instantons in holographic plasma. The model we employ is the D(-1)-D3 brane system in which the D(-1)-branes correspond to the instantons in holography. To take into account the flavored quarks, the coincident probe D7-branes as flavors are embedded into the bulk geometry so that the effective electromagnetic Lagrangian with flavors corresponds to the action of the D7-branes according to gauge-gravity duali…

Hamiltonian flow between standard module Lagrangians
Yujin Tong
https://arxiv.org/abs/2511.06431 https://arxiv.org/pdf/2511.06431 https://arxiv.org/html/2511.06431
arXiv:2511.06431v1 Announce Type: new
Abstract: In Aganagic's Fukaya category of the Coulomb branch of quiver gauge theory, the $T_\theta$-brane algebra gives a symplectic realization of the Khovanov-Lauda-Rouquier-Webster (KLRW) algebra, where each standard module is known to admit two Lagrangian realizations: the 'U'-shaped $T$-brane and the step $I$-brane. We show that the latter arises as the infinite-time limit of the Hamiltonian evolution of the former, thus serving as a generalized thimble. This provides a geometric realization of the categorical isomorphism previously established through holomorphic disc counting.
toXiv_bot_toot

$\Lambda_{c}(2910)$ and $\Lambda_{c}(2940)$ productions in $p \bar{p}$ annihilation and $K^{-}p$ scattering processes
Quan-Yun Guo, Dian-Yong Chen
https://arxiv.org/abs/2509.21176

$Λ_{c}(2910)$ and $Λ_{c}(2940)$ productions in $p \bar{p}$ annihilation and $K^{-}p$ scattering processes
In this work, we investigate the productions of $Λ_{c}(2910)$ and $Λ_{c}(2940)$ in the $p \bar{p} \rightarrow \barΛ_{c} D^{0} p$, $K^{-}p \rightarrow D^{-}_{s} D^{0} p$, and $K^{-}p \rightarrow D^{\ast-}_{s} D^{0} p$ processes by utilizing an effective Lagrangian approach, where both $Λ_{c}(2910)$ and $Λ_{c}(2940)$ are considered as $D^{\ast}N$ molecular states with $J^{P}=1/2^{-}$ and $3/2^{-}$, respectively. The cross sections and $D^0 p$ invariant mass distributions at exemplified cente…

Geodesics in Quantum Gravity
Benjamin Koch, Ali Riahinia, Angel Rincon
https://arxiv.org/abs/2510.00117 https://arxiv.org/pdf/2510.00117

Geodesics in Quantum Gravity
We investigate the motion of test particles in quantum-gravitational backgrounds by introducing the concept of q--desics, quantum-corrected analogs of classical geodesics. Unlike standard approaches that rely solely on the expectation value of the spacetime metric, our formulation is based on the expectation value of quantum operators, such as the the affine connection-operator. This allows us to capture richer geometric information. We derive the q--desic equation using both Lagrangian and Ham…

Renormalization of Chern-Simons Wilson Loops via Flux Quantization in Cohomotopy
Hisham Sati, Urs Schreiber
https://arxiv.org/abs/2509.25336 https://arxiv.…

Renormalization of Chern-Simons Wilson Loops via Flux Quantization in Cohomotopy
In the practice of physics model building, the process of renormalization, resummation, and anomaly cancellation is to incrementally repair initially ill-defined Lagrangian quantum field theories. Impressive as this is, one would rather have concisely defined complete theories to begin with, and understand these choices as emergent from fundamental principles. As an instructive example, we recall renormalization choices for Wilson loop observables in abelian Chern-Simons theory. Then we show th…

A Sensitivity-Based Method for Bilevel Optimization Problems: Theoretical Analysis and Computational Performance
Eduardo Nolasco, Ross D. King, Vassilios S. Vassiliadis
https://arxiv.org/abs/2510.01487

A Sensitivity-Based Method for Bilevel Optimization Problems: Theoretical Analysis and Computational Performance
Bilevel optimization provides a powerful framework for modeling hierarchical decision-making systems. This work presents a novel sensitivity-based algorithm that directly addresses the bilevel structure by treating the lower-level optimal solution as an implicit function of the upper-level variables, thus avoiding classical single-level reformulations. This implicit problem is solved within a robust Augmented Lagrangian framework, where the inner subproblems are managed by a quasi-Newton (L-BFG…

Fluid Deformation in Random Unsteady Flow
Daniel Lester, Marco Dentz
https://arxiv.org/abs/2510.01668 https://arxiv.org/pdf/2510.01668

Fluid Deformation in Random Unsteady Flow
Fluid deformation controls myriad processes including mixing and dispersion, development of stress in complex fluids, droplet breakup and emulsification, fluid-structure interaction, chemical reactions and biological activity. We develop a simple stochastic model for fluid deformation in random unsteady flows such as homogeneous isotropic turbulence. We show that although the Lagrangian velocity process is non-Markovian and non-Fickian, temporal decorrelation due to the unsteady nature of the f…

Control of Conservation Laws in the Nonlocal-to-Local Limit
Jan Friedrich, Michael Herty, Claudia Nocita
https://arxiv.org/abs/2510.00677 https://arxiv.org…

Control of Conservation Laws in the Nonlocal-to-Local Limit
We analyze a class of control problems where the initial datum acts as a control and the state is given by the entropy solution of (local) conservation laws by a nonlocal-to-local limiting strategy. In particular we characterize the limit up to subsequence of minimizers to nonlocal control problems as minimizer of the corresponding local ones. Moreover, we also prove an analogous result at a discrete level by means of a Eulerian-Lagrangian scheme.

Crosslisted article(s) found for physics.flu-dyn. https://arxiv.org/list/physics.flu-dyn/new
[1/1]:
- The Cryogenic Lagrangian Exploration Module: a rotating cryostat for the study of quantum vortice...
Vessaire, Peretti, Lorin, Durozoy, Garde, Spathis, Chabaud, Gibert

Symplectic Singularities, Color Confinement, and the Quantum Dirac Sheaf
Sergio Cecotti
https://arxiv.org/abs/2509.24605 https://arxiv.org/pdf/2509.24605…

Symplectic Singularities, Color Confinement, and the Quantum Dirac Sheaf
A singularity $\mathbb{C}^{2r}/G$, with $G$ a split symplectic reflection group, may or may not be crepant. Then the total space $\mathscr{X}$ of the Donagi-Witten integrable system is crepant for some 4d $\mathcal{N}=2$ SCFT and non-crepant for others. Which physical mechanism controls the (dis)crepancy? Surprisingly, it is the detailed physics of color confinement (and its generalizations for non-Lagrangian QFT). A 4d $\mathcal{N}=2$ SCFT carries a Frobenius algebra $\mathcal{R}$, the quantum…

Quasi-geostrophic limiting dynamics and energetics of the LANS-$\alpha$ model
L. R. Seitz, Beth A. Wingate
https://arxiv.org/abs/2509.22466 https://arxiv.o…

Quasi-geostrophic limiting dynamics and energetics of the LANS-$α$ model
The Lagrangian-Averaged Navier-Stokes-$α$ (LANS-$α$) model, a turbulence closure scheme based on energy-conserving modifications to nonlinear advection, can produce more energetic simulations than standard models, leading to improved fidelity (e.g., in ocean models). However, comprehensive understanding of the mechanism driving this energetic enhancement has proven elusive. To address this gap, we derive the fast quasi-geostrophic limit of the three-dimensional, stably-stratified LANS-$α$ eq…

Crosslisted article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- On Hamiltonian stationarity of twisted Lagrangian tori in ${\mathbb{C}}^2$
Jingyi Chen, Patrik Coulibaly

The double copy as a doppelg\"{a}nger
Nathan Moynihan, Michael L. Reichenberg Ashby, Chris D. White
https://arxiv.org/abs/2509.22350 https://arxiv.org…

The double copy as a doppelgänger
The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order formalisms in both theories corresponding to standard Yang-Mills theory, and the Einstein--Hilbert action in General Relativity. In this paper, we instead consider alternative formulations of gravity, which are known to terminate at finite order in the coupling at Lagrangian level. We focus in particular on the Chern--…

Optimized Fish Locomotion using Design-by-Morphing and Bayesian Optimization
Hamayun Farooq, Imran Akhtar, Muhammad Saif Ullah Khalid, Haris Moazam Sheikh
https://arxiv.org/abs/2510.00044

Optimized Fish Locomotion using Design-by-Morphing and Bayesian Optimization
This study presents a computational framework for optimizing undulatory swimming profiles using a combination of design-by-morphing and Bayesian optimization strategies. The body deformation is expressed as a linear combination of five baseline bio-inspired profiles, including two unconventional shapes to enhance diversity in the design space. The optimization objective is to maximize propulsive efficiency over a wide range of frequency-wavelength combinations. The Arbitrary Lagrangian--Euleria…

Non-Commutative Gauge Theory at the Beach
Roland Bittleston, Simon Heuveline, Surya Raghavendran, David Skinner
https://arxiv.org/abs/2509.20643 https://ar…

Non-Commutative Gauge Theory at the Beach
The KP equation is perhaps the most famous example of a three-dimensional integrable system. Here we show that a non-commutative five-dimensional Chern-Simons theory living on the projective spinor bundle of three-dimensional space-time compactifies to a Lagrangian formulation of the KP equation. Essential to the definition of the theory is a 2-form pulled back from minitwistor space. The dispersionless limit of the KP equation is similarly described by Poisson-Chern-Simons theory. We further s…

Predictive Criteria for Electrospray-Assisted Droplet Dynamics in Aerodynamic Flow Fields
Ethan Kahn (Unaffiliated, Z\"urich, Switzerland)
https://arxiv.org/abs/2509.22676 …

Predictive Criteria for Electrospray-Assisted Droplet Dynamics in Aerodynamic Flow Fields
Electrospray technology enables external electric fields to steer charged droplets, with potential applications in fuel-air mixing and aerodynamic flow control. This study develops a computational framework that couples a steady OpenFOAM RANS solution of a NACA 1912 airfoil channel flow with a reduced-order Lagrangian particle model to examine droplet trajectories under viscous drag and electrostatic forces. Baseline uniform-flow tests confirmed that electrostatic deflection weakens as inertial…