arXiv Math @arxiv_math@qoto.org

Proof of Collatz Conjecture. (arXiv:2309.09991v1 [math.GM]) http://arxiv.org/abs/2309.09991

A renewal approach to prove the Four Color Theorem unplugged, Part III: Diamond routes, canal lines and $\Sigma$-adjustments. (arXiv:2309.09998v1 [math.CO]) http://arxiv.org/abs/2309.09998

A renewal approach to prove the Four Color Theorem unplugged, Part II: R/G/B Kempe chains in an extremum non-4-colorable MPG. (arXiv:2309.09999v1 [math.CO]) http://arxiv.org/abs/2309.09999

Energy stable neural network for gradient flow equations. (arXiv:2309.10002v1 [cs.LG]) http://arxiv.org/abs/2309.10002

A novel approach to measuring patent claim scope based on probabilities obtained from (large) language models. (arXiv:2309.10003v1 [cs.CL]) http://arxiv.org/abs/2309.10003

A probabilistic proof of some integral formulas involving incomplete gamma functions. (arXiv:2309.10004v1 [math.PR]) http://arxiv.org/abs/2309.10004

The $1$-Level Density for Zeros of Hecke $L$-Functions of Imaginary Quadratic Number Fields of Class Number $1$. (arXiv:2309.10018v1 [math.NT]) http://arxiv.org/abs/2309.10018

Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries. (arXiv:2309.10044v1 [hep-th]) http://arxiv.org/abs/2309.10044

Separation properties for positive-definite functions on locally compact quantum groups and for associated von Neumann algebras. (arXiv:2309.10046v1 [math.OA]) http://arxiv.org/abs/2309.10046

Chapter 12: The moment problem on compact semi-algebraic sets (revised version). (arXiv:2309.10052v1 [math.FA]) http://arxiv.org/abs/2309.10052

Best proximity point of generalized $\theta-\phi-$proximal non-self contractions. (arXiv:2309.08606v1 [math.FA]) http://arxiv.org/abs/2309.08606

On Egorov's Theorem for Infinite Measure. (arXiv:2309.08608v1 [math.FA]) http://arxiv.org/abs/2309.08608

Quantitative strong unique continuation property for the Schr\"odinger operator with unbounded potential. (arXiv:2309.08651v1 [math.AP]) http://arxiv.org/abs/2309.08651

Optimal Quantization with Branched Optimal Transport distances. (arXiv:2309.08677v1 [math.OC]) http://arxiv.org/abs/2309.08677

Enhancing Near-Field Sensing and Communications with Sparse Arrays: Potentials, Challenges, and Emerging Trends. (arXiv:2309.08681v1 [eess.SP]) http://arxiv.org/abs/2309.08681

A conformal Hopf-Rinow theorem for semi-Riemannian spacetimes. (arXiv:2309.08682v1 [math.DG]) http://arxiv.org/abs/2309.08682

Probabilistic Constellation Shaping With Denoising Diffusion Probabilistic Models: A Novel Approach. (arXiv:2309.08688v1 [cs.IT]) http://arxiv.org/abs/2309.08688

The additive-multiplicative distance matrix of a graph, and a novel third invariant. (arXiv:2309.08691v1 [math.CO]) http://arxiv.org/abs/2309.08691

The pseudo-Boolean polytope and polynomial-size extended formulations for binary polynomial optimization. (arXiv:2309.08693v1 [math.OC]) http://arxiv.org/abs/2309.08693

Stochastic differential equations and stochastic parallel translations in the Wasserstein space. (arXiv:2309.08702v1 [math.PR]) http://arxiv.org/abs/2309.08702