The overlap gap property in principal submatrix recovery by Gamarnik, David

“…The MLE is computationally intractable in general, and in fact, for $$\rho >0$$ ρ > 0 sufficiently small, this problem is conjectured to exhibit a statistical-computational gap. …”
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Geometric and algebraic properties of polyomino tilings by Korn, Michael Robert, 1978-

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The quantum Fourier transform and quantum chaos by Weinstein, Yaakov Shmuel, 1974-

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On the weakest failure detector ever by Kuznetsov, Petr, Herlihy, Maurice, Newport, Calvin Charles, Lynch, Nancy Ann, Guerraoui, Rachid

“…While doing so, (a) we disprove previous conjectures about the weakest failure detector to solve set-agreement and (b) we prove that solving set-agreement with registers is strictly weaker than solving n + 1-process consensus using n-process consensus. …”
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Technological development and innovation : selected policy implications by Benson, Christopher Lee

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Conformal loop ensembles: the Markovian characterization and the loop-soup construction by Werner, Wendelin, Sheffield, Scott Roger

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Integration and corporate investment by Ozbas, Oguzhan, 1971-

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Coherent sheaves on varieties arising in Springer theory, and category 0 by Nandakumar, Vinoth

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Studies of five dimensional superconformal field theories, localization and geometry by Magureanu, H

“…We determine the so-called Coulomb branch partition function on any such $M_5$, which is conjectured to be the holomorphic ‘integrand’ of the full partition function. …”

The Dirac-Higgs bundle by Blaavand, JL

“…This asymptotical behaviour naturally defines a frame for the Nahm transform, which is conjectured to be asymptotically unitary.</p> <p>By considering only the holomorphic structure, the Nahm transform of a Higgs bundle extends to a holomorphic bundle on the natural compactification of the rank one Higgs bundle moduli space. …”

Thresholds and the structure of sparse random graphs by Fountoulakis, N

“…It has been observed that, as for many other properties, the property of non-3-colourability of graphs exhibits a sharp threshold behaviour. It is conjectured that there exists a critical average degree such that when the average degree of a random graph is around this value the probability of the random graph being non-3-colourable changes rapidly from near 0 to near 1. …”

A dialogue across paradigms. The European Commission’s autonomous power within the open method of coordination by Deganis, I

“…</p> <p>Testing theoretical predictions against collected data makes plain the superior explanatory value of independent variables and causal mechanisms of rationalist lineage in capturing the essence of the Commission’s autonomous power in the case of quality in work and the congruity of sociological institutionalism’s original conjectures in the area of child poverty and social exclusion. …”

The structure of large random graphs by Donderwinkel, S

“…We also obtain universal tail bounds for the height of simply generated trees and conditioned Bienaymé trees (the family trees of branching processes) that settle several conjectures from the literature. Moreover, we define a partial ordering on degree sequences and show that it induces a stochastic ordering on the heights of uniformly random trees with given degree sequences. …”

Are Brain–Computer Interfaces Feasible With Integrated Photonic Chips? by Vahid Salari, Vahid Salari, Serafim Rodrigues, Erhan Saglamyurek, Erhan Saglamyurek, Erhan Saglamyurek, Christoph Simon, Christoph Simon, Christoph Simon, Daniel Oblak, Daniel Oblak

“…For our proposed BCI, we are making some very major conjectures, which need to be experimentally verified, and therefore we discuss the controversial parts, feasibility of technology and limitations, and potential impact of this envisaged technology if successfully implemented in the future.…”
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The augmentation of cytotoxic immune cell functionality through physical exertion bolsters the potency of chemotherapy in models of mammary carcinoma by Bingqing Qin, Zhongshi He, Lixia Xie, Shenglan Feng, Junjie Ye, Jianjun Gui, Xiaodong Sun, Ming Sang

“…Abstract Background Mammary carcinoma, a pervasive and potentially lethal affliction, is conjectured to be profoundly influenced by physical exercise, both in prophylaxis and therapeutic contexts. …”
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An Entire Process Optimization Strategy for Comprehensive In Vivo Metabolite Profiling of Prucalopride in Rats Based on Ultra-Performance Liquid Chromatography With Q-Exactive Hybr... by Lihua Zuo, Lihua Zuo, Liwei Liu, Liwei Liu, Yantao Yang, Yantao Yang, Jie Yang, Jie Yang, Min Chen, Huafeng Zhang, Jian Kang, Jian Kang, Xiaojian Zhang, Xiaojian Zhang, Jiabo Wang, Zhi Sun, Zhi Sun

“…This provides multiple possibilities and prevents us conjecturing the potential metabolites blindly. Finally, the verification procedure was implemented through exporting the structure and MS2 spectrum to the analytical tool of Mass Frontier. …”
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Decreased expression of synaptic genes in the vestibular ganglion of rodents following subchronic ototoxic stress. by Erin A. Greguske, Alberto F. Maroto, Mireia Borrajo, Aïda Palou, Marta Gut, Anna Esteve-Codina, Alejandro Barrallo-Gimeno, Jordi Llorens

“…For choice selected genes, the mRNA expression results were replicated by qRT-PCR, validated spatially by RNA-scope, or were demonstrated to be associated with decreased expression of the corresponding protein. We conjectured that decreased synaptic input or trophic support on the ganglion neurons from the HC was triggering these expression changes. …”
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A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation by Rodnianski, Igor, Speck, Jared R.

“…Finally, based on the linear stability results, we outline a proof of the following result, whose complete proof will appear elsewhere: the FLRW solution is globally nonlinearly stable in the collapsing direction t↓ 0 under small perturbations of its data at (t = 1). Keywords: BKL conjectures, constant mean curvature, FLRW, Kasner solution, monotonicity, parabolic gauge, quiescent cosmology, spatial harmonic coordinates, stable blowup, strong cosmic censorship, transported spatial coordinates…”
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The overlap gap property in principal submatrix recovery by Gamarnik, David, Jagannath, Aukosh, Sen, Subhabrata

“…The MLE is computationally intractable in general, and in fact, for $$\rho >0$$ ρ > 0 sufficiently small, this problem is conjectured to exhibit a statistical-computational gap. …”
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Turbulence in Particle-laden Midplane Layers of Planet-forming Disks by Debanjan Sengupta, Orkan M. Umurhan

“…For fairly general situations absent external sources of turbulence it is conjectured that the SI, when and if initiated, emerges out of a turbulent state primarily driven and shaped by at least SymI and/or KHI. …”
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