Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory by Ignatios Antoniadis, Yifan Chen, George K. Leontaris

“…Our result avoids no-go theorems of perturbative stabilisation due to runaway potentials, in a way similar to the Coleman-Weinberg mechanism, and provides a counter example to one of the swampland conjectures concerning de Sitter vacua in quantum grav- ity, once string loop effects are taken into account; it thus paves the way for embedding the Standard Model of particle physics and cosmology in string theory.…”
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Finding product sets in some classes of amenable groups by Dimitrios Charamaras, Andreas Mountakis

“…In [15], using methods from ergodic theory, a longstanding conjecture of Erdős (see [5, Page 305]) about sumsets in large subsets of the natural numbers was resolved. …”
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Evaluation of the Fluctuation Mechanism of Behavioral Financial Market Based on Edge Computing by Xiaoliang Yuan

“…With the development of the stock market, traditional financial theories and behavioral financial theories continue to converge, and traditional financial theories based on investor rationality and efficient market assumptions are subject to unprecedented conjectures. Financial markets are affected by subjective factors such as people’s behaviors and emotions. …”
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Global dynamics for two-species competition in patchy environment by Kuang-Hui Lin, Yuan Lou, Chih-Wen Shih, Tze-Hung Tsai

“…It has previously been conjectured by Gourley and Kuang that the species that can concentrate its birth in a single patch wins if the diffusion rate is large enough, and two species will coexist if the diffusion rate is small. …”
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The Alterations in the Brain Corresponding to Low Back Pain: Recent Insights and Advances by Xuyang Li, Fancheng Meng, Wenye Huang, Yue Cui, Fanbo Meng, Shengxi Wu, Hui Xu

“…Based on existing clinical studies that chronic pain problems were accompanying alterations in brain structures and functions, researchers proposed logical conjectures that similar alterations occur in LBP patients as well. …”
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Block-Graceful Designs by Dilara Erdemir, Emre Kolotoğlu

“…We complete the article with some open problems and conjectures.…”
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Modeling some properties of circadian rhythms by Miguel Lara-Aparicio, Carolina Barriga-Montoya, Pablo Padilla-Longoria, Beatriz Fuentes-Pardo

“…From theinteraction of biology and mathematics, new problems have emerged that havegenerated advances in the theory, suggested further experimental work andmotivated plausible conjectures. From our perspective, it is absolutelynecessary to incorporate modeling tools in the study of circadian rhythmsand that without a solid mathematical framework a real understanding of themwill not be possible. …”
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Why is it so difficult to understand why we don’t understand human systemic lupus erythematosus? Contemplating facts, conflicts, and impact of “the causality cascade paradigm”... by Ole Petter Rekvig, Ole Petter Rekvig

“…In attempts to understand systemic lupus erythematosus (SLE), we find ourselves in the intellectual cross-point between nosology, pathogenicity-oriented science, philosophy, empiricism, and qualified conjectures. A vital consequence in science theory is that scientific hypotheses that are not critically investigated are in danger of being transformed into scientific dogmas1. …”
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Monotonicity of a Key Function Arised in Studies of Nematic Liquid Crystal Polymers by Hongyun Wang, Hong Zhou

“…Previously, it was conjectured that the function is strictly decreasing and the conjecture was numerically confirmed. …”
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Finiteness of rank for Grassmann convexity by Saldanha, Nicolau, Shapiro, Boris, Shapiro, Michael

“…The Grassmann convexity conjecture, formulated in [8], gives a conjectural formula for the maximal total number of real zeroes of the consecutive Wronskians of an arbitrary fundamental solution to a disconjugate linear ordinary differential equation with real time. …”
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Global Attractor of Solutions of a Rational System in the Plane by Miron B. Bekker, Martin J. Bohner, Hristo D. Voulov

“…Here we confirm this conjecture, subject to an additional assumption.…”
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Positive solutions for nonlinear elastic beam models by Bendong Lou

“…We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. …”
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Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem by Yeliussizov, Damir

“…We also show an application to an asymptotic saturation-type version of Rota’s basis conjecture.…”
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Approximate symmetries and gravity by Sylvain Fichet, Prashant Saraswat

“…We study the interplay of our conjecture with emergent symmetries in QFT. In models where gauged U(1)’s enforce accidental symmetries, we find that constraints from the Weak Gravity Conjecture can ensure that our conjecture is satisfied. …”
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Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$ by Timo Keller, Michael Stoll

“…We develop the theory and algorithms necessary to be able to verify the strong Birch–Swinnerton-Dyer Conjecture for absolutely simple modular abelian varieties over ${\mathbf {Q}}$ . …”
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Hamilton-Connected Mycielski Graphs∗ by Yuanyuan Shen, Xinhui An, Baonyindureng Wu

“…Jarnicki, Myrvold, Saltzman, and Wagon conjectured that if G is Hamilton-connected and not K2, then its Mycielski graph μG is Hamilton-connected. …”
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Weak cosmic censorship, trapped surfaces, and naked singularities for the Einstein vacuum equations by Shlapentokh-Rothman, Yakov

“…The weak cosmic censorship conjecture posits that, generically, all singularities in General Relativity arising from regular asymptotically flat initial data should have a complete future null infinity. …”
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Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection by Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui

“…Verstraelen and L. Vrancken gave a conjecture of Wintgen inequality, named as the DDVV-conjecture, for general Riemannian submanifolds in real space forms. …”
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Soft Approximations and Uni-Int Decision Making by Athar Kharal

“…Membership structure of a soft set has been probed in and many interesting properties are presented. We present a new conjecture to solve an optimum choice problem. Our Example 31 presents a case where the new conjecture solves the problem correctly.…”
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Extracting the fingerprints of sequences of random rhythmic auditory stimuli from electrophysiological data. by Fernando A Najman, Antonio Galves, Marcela Svarc, Claudia D Vargas

“…It has been classically conjectured that the brain assigns probabilistic models to sequences of stimuli. …”
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