Tootfinder

Enriching the Felsenthal index with a priori unions for decision-making processes
Alicia Mascare\~nas-Pazos, Silvia Lorenzo-Freire, Jose Maria Alonso-Meijide
https://arxiv.org/abs/2507.01621

Enriching the Felsenthal index with a priori unions for decision-making processes
Within the domain of game theory, power indexes are defined as functions that quantify the influence of individual participants in collective decision-making processes. Felsenthal [D. Felsenthal. A Well-Behaved Index of a Priori P-Power for Simple N-Person Games. Homo Oeconomicus, 33, 2016] proposed a power index with a focus on least size winning coalitions, i.e., those coalitions capable of determining the final outcome and with the smallest number of players among all winning coalitions. How…

Self-driving technologies need the help of the public: A narrative review of the evidence
Jonathan Smith, Siddartha Khastgir
https://arxiv.org/abs/2505.23472

Self-driving technologies need the help of the public: A narrative review of the evidence
If public trust is lot in a new technology early in its life cycle it can take much more time for the benefits of that technology to be realised. Eventually tens-of-millions of people will collectively have the power to determine self-driving technology success of failure driven by their perception of risk, data handling, safety, governance, accountability, benefits to their life and more. This paper reviews the evidence on safety critical technology covering trust, engagement, and acceptance. …

Slip flows of a Bingham fluid in curved channels
S. J. Cox, S. M. Taghavi
https://arxiv.org/abs/2506.15303 https://arxiv.org/pdf/2506…

Slip flows of a Bingham fluid in curved channels
Motivated by the treatment of varicose veins with aqueous foams, we determine the velocity profiles and yield surface positions for pressure-driven flows of a Bingham fluid in curved channels, incorporating Navier wall slip to capture the slip behavior of aqueous foams. Assuming a constant pressure gradient -- consistent with syringe-driven injection in sclerotherapy -- we reproduce a closed-form analytic solution for the flow in a straight channel, and extend this to a uniformly curved channel…

Phase-space excluded-volume approach for light clusters in nuclear medium
Rui Wang, Zhen Zhang, Stefano Burrello, Maria Colonna, Edoardo G. Lanza
https://arxiv.org/abs/2506.16437 …

Phase-space excluded-volume approach for light clusters in nuclear medium
A phase-space excluded-volume approach is developed to investigate the in-medium properties of light clusters in nuclear matter. In this approach, light clusters can exist only if the total nucleon phase-space occupation of the surrounding nuclear medium -- including explicit contributions from light clusters -- is sufficiently low. The distribution functions of nucleons and light clusters are determined self-consistently by accounting for the interplay between in-medium effects and thermodynam…

Newton optimization for the Multiconfiguration Self Consistent Field method at the basis set limit: closed-shell two-electron systems
Evgueni Dinvay, Rasmus Vikhamar-Sandberg, Luca Frediani
https://arxiv.org/abs/2506.12906

Newton optimization for the Multiconfiguration Self Consistent Field method at the basis set limit: closed-shell two-electron systems
The multiconfiguration self-consistent-field (MCSCF) method is revisited with the specific focus on the two electron systems for simplicity. A wave function is represented as a linear combination of Slater determinants. Both orbitals and coefficients of this configuration interaction expansion are optimized following the variational principle making use of the Newton optimization technique. It reduces the MCSCF problem to solving a particular differential Newton system, which can be discretized…

Coulomb Branch and Integrability
Frank Coronado, Shota Komatsu, Konstantin Zarembo
https://arxiv.org/abs/2506.07222 https://arxiv.org…

Coulomb Branch and Integrability
We study one-point functions of non-BPS single-trace operators on the Coulomb branch of planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holography relates them to overlaps between on-shell closed string states and a boundary state describing a probe D3-brane in $AdS_5\times S^{5}$. Assuming that the D-brane preserves integrability, we formulate and solve integrable bootstrap equations satisfied by the boundary state at finite 't Hooft coupling. This leads to a closed-form determinant e…

S-shaped Utility Maximization with VaR Constraint and Partial Information
Dongmei Zhu, Ashley Davey, Harry Zheng
https://arxiv.org/abs/2506.10103 https://

S-shaped Utility Maximization with VaR Constraint and Partial Information
We study S-shaped utility maximisation with VaR constraint and unobservable drift coefficient. Using the Bayesian filter, the concavification principle, and the change of measure, we give a semi-closed integral representation for the dual value function and find a critical wealth level that determines if the constrained problem admits a unique optimal solution and Lagrange multiplier or is infeasible. We also propose three algorithms (Lagrange, simulation, deep neural network) to solve the prob…

Lie Group Theory of Multipole Moments and Shape of Stationary Rotating Fluid Bodies
Sergei M. Kopeikin (University of Missouri-Columbia, USA)
https://arxiv.org/abs/2505.14712

Lie Group Theory of Multipole Moments and Shape of Stationary Rotating Fluid Bodies
We present a rigorous framework for determining the equilibrium configurations of uniformly rotating, self-gravitating fluid bodies. This work addresses the classical challenge of modeling rotational deformation in celestial objects such as stars and planets. By integrating foundational theory with modern mathematical tools, we develop a unified formalism that enhances the precision and generality of shape modeling in astrophysical contexts. Our method applies Lie group theory to vector flows a…

Towards scalable quantum computations of atomic nuclei
Chenyi Gu, Matthias Heinz, Oriel Kiss, Thomas Papenbrock
https://arxiv.org/abs/2507.14690 https://…

Towards scalable quantum computations of atomic nuclei
We solve the nuclear two-body and three-body bound states via quantum simulations of pionless effective field theory on a lattice in position space. While the employed lattice remains small, the usage of local Hamiltonians including two- and three-body forces ensures that the number of Pauli terms scales linearly with increasing numbers of lattice sites. We use an adaptive ansatz grown from unitary coupled cluster theory to parametrize the ground states of the deuteron and $^3$He, compute their…

Effects of vibration and rigidity modes of motion on the spectral statistics of spherical nuclei
H. Sabri, A. Hosseinnezhad
https://arxiv.org/abs/2506.06747

Effects of vibration and rigidity modes of motion on the spectral statistics of spherical nuclei
In this paper, we investigated the effects of \b{eta}-vibration and \b{eta}-rigidity on the energy levels from the viewpoint of statistical fluctuations of nuclear systems. To this aim, a parameter-free collective solution of the Bohr Hamiltonian in the five-dimensional harmonic oscillator potential with a linear energy dependence and an asymptotic limit of the slope are used to determine all of the observed normal states in even-even nuclei with ~ 2.00 - 2.15 ratio in the A ~ 90 -140 mass regi…