Tootfinder

Balancing rationality and social influence: Alpha-rational Nash equilibrium in games with herding
Khushboo Agarwal, Konstantin Avrachenkov, Veeraruna Kavitha, Raghupati Vyas
https://arxiv.org/abs/2406.03928

Balancing rationality and social influence: Alpha-rational Nash equilibrium in games with herding
The classical game theory models rational players and proposes Nash equilibrium (NE) as the solution. However, real-world scenarios rarely feature rational players; instead, players make inconsistent and irrational decisions. Often, irrational players exhibit herding behaviour by simply following the majority. In this paper, we consider the mean-field game with $α$-fraction of rational players and the rest being herding-irrational players. For such a game, we introduce a novel concept of equ…

The design rationale for Boost Geometry is a "must read" for every C programmer interested in metaprogramming.
It also makes a great reading and discussion assignment for graduate-level software-engineering courses. Most students (and professors for that matter) won't know C well-enough to appreciate the detail, but it still makes a great assignment.

A second-generation (44-channel) suprachoroidal retinal prosthesis: a single-arm clinical trial of feasibility https://www.ophthalmologyscience.org/article/S2666-9145(24)00061-7/fulltext

This https://arxiv.org/abs/2306.00330 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Uniform rational polytopes of foliated threefolds and the global ACC
In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension $\leq 3$. As an application, we prove the global ACC for foliated threefolds with arbitrary DCC coefficients. We also provide applications on the accumulation points of lc thresholds of foliations in dimension $\leq 3$.

This https://arxiv.org/abs/2311.16972 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A three-manifold invariant from graph configurations
The logarithm of the Kontsevich-Kuperberg-Thurston invariant counts embeddings of connected trivalent graphs in an oriented rational homology sphere, using integrals on configuration spaces of points in the given manifold. It is a universal finite type invariant of oriented rational homology spheres. The exponential of this invariant is often called the perturbative expansion of the Chern-Simons theory. In this article, we give an independent original definition of the degree two part of the lo…

This https://arxiv.org/abs/2012.05416 has been replaced.
link: https://scholar.google.com/scholar?q=a

The SYZ mirror symmetry conjecture for del Pezzo surfaces and rational elliptic surfaces
We prove a version of the Strominger-Yau-Zaslow mirror symmetry conjecture for non-compact Calabi-Yau surfaces arising from, on the one hand, pairs $(\check{Y},\check{D})$ of a del Pezzo surface $\check{Y}$ and $\check{D}$ a smooth anti-canonical divisor and, on the other hand, pairs $(Y,D)$ of a rational elliptic surface $Y$, and $D$ a singular fiber of Kodaira type $I_k$. Three main results are established concerning the latter pairs $(Y,D)$. First, adapting work of Hein \cite{Hein}, we prove…

This https://arxiv.org/abs/2301.08966 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Euler Characteristic of Finite Categories
We associate a rational number $χ(\mathcal{A})$ to every category $\mathcal{A}$ whose object and morphism sets are finite. We show that the assignment $χ$ is additive under disjoint union and it preserves products. Hence we consider $χ$ as an Euler measure on a family of categories where this assignment also obeys a version of the inclusion--exclusion principle.

Detrimental task execution patterns in mainstream OpenMP runtimes
Adam S. Tuft Tobias Weinzierl Michael Klemm
https://arxiv.org/abs/2406.03077 https://

Detrimental task execution patterns in mainstream OpenMP runtimes
The OpenMP API offers both task-based and data-parallel concepts to scientific computing. While it provides descriptive and prescriptive annotations, it is in many places deliberately unspecific how to implement its annotations. As the predominant OpenMP implementations share design rationales, they introduce ``quasi-standards'' how certain annotations behave. By means of a task-based astrophysical simulation code, we highlight situations where this ``quasi-standard'' reference behaviour introd…

Cycle integrals of meromorphic Hilbert modular forms
Claudia Alfes, Baptiste Depouilly, Paul Kiefer, Markus Schwagenscheidt
https://arxiv.org/abs/2406.03465

Cycle integrals of meromorphic Hilbert modular forms
We establish a rationality result for linear combinations of traces of cycle integrals of certain meromorphic Hilbert modular forms. These are meromorphic counterparts to the Hilbert cusp forms $ω_m(z_1,z_2)$, which Zagier investigated in the context of the Doi-Naganuma lift. We give an explicit formula for these cycle integrals, expressed in terms of the Fourier coefficients of harmonic Maass forms. A key element in our proof is the explicit construction of locally harmonic Hilbert-Maass form…

This https://arxiv.org/abs/2405.17113 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$-bundles
For a semisimple complex algebraic group $G$ we determine the rational cohomology and the Hodge-Tate structure of the moduli stack ${\mathscr B}un_{G,X}$ of principal $G$-bundles over a connected smooth complex projective variety $X$ of special type using the homotopy theory of the underlying topological stack.