Rapinchuk, Andrei S.; Rapinchuk, Igor A. Linear algebraic groups with good reduction. (English) Zbl 1466.20032 Res. Math. Sci. 7, No. 3, Paper No. 28, 65 p. (2020). MSC: 20G05 11E72 14G05 14L15 20E15 20-02 PDFBibTeX XMLCite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, Res. Math. Sci. 7, No. 3, Paper No. 28, 65 p. (2020; Zbl 1466.20032) Full Text: DOI arXiv
Deitmar, Anton Benjamini-Schramm convergence and zeta functions. (English) Zbl 1470.11135 Res. Math. Sci. 7, No. 3, Paper No. 27, 12 p. (2020). Reviewer: Salah Mehdi (Metz) MSC: 11F72 22E40 11M36 11M41 PDFBibTeX XMLCite \textit{A. Deitmar}, Res. Math. Sci. 7, No. 3, Paper No. 27, 12 p. (2020; Zbl 1470.11135) Full Text: DOI arXiv
Gómez-Gonzáles, Claudio Spaces of non-degenerate maps between complex projective spaces. (English) Zbl 1460.55013 Res. Math. Sci. 7, No. 3, Paper No. 26, 16 p. (2020). Reviewer: Kohhei Yamaguchi (Tokyo) MSC: 55P62 55R80 14E05 32H02 PDFBibTeX XMLCite \textit{C. Gómez-Gonzáles}, Res. Math. Sci. 7, No. 3, Paper No. 26, 16 p. (2020; Zbl 1460.55013) Full Text: DOI
Dixit, Atul; Roy, Arindam Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory. (English) Zbl 1460.33003 Res. Math. Sci. 7, No. 3, Paper No. 25, 32 p. (2020). MSC: 33C10 11M06 33E20 PDFBibTeX XMLCite \textit{A. Dixit} and \textit{A. Roy}, Res. Math. Sci. 7, No. 3, Paper No. 25, 32 p. (2020; Zbl 1460.33003) Full Text: DOI arXiv
Hablicsek, Márton Hodge theorem for the logarithmic de Rham complex via derived intersections. (English) Zbl 1455.14014 Res. Math. Sci. 7, No. 3, Paper No. 24, 21 p. (2020). MSC: 14C30 14F08 14A21 PDFBibTeX XMLCite \textit{M. Hablicsek}, Res. Math. Sci. 7, No. 3, Paper No. 24, 21 p. (2020; Zbl 1455.14014) Full Text: DOI arXiv
Das, Ronno Arithmetic statistics on cubic surfaces. (English) Zbl 1460.14056 Res. Math. Sci. 7, No. 3, Paper No. 23, 12 p. (2020). MSC: 14G15 11G25 14D22 14G10 PDFBibTeX XMLCite \textit{R. Das}, Res. Math. Sci. 7, No. 3, Paper No. 23, 12 p. (2020; Zbl 1460.14056) Full Text: DOI arXiv
Qi, Di; Majda, Andrew J. Nonlinear interaction and turbulence transition in the limiting regimes of plasma edge turbulence. (English) Zbl 1454.76111 Res. Math. Sci. 7, No. 3, Paper No. 22, 32 p. (2020). MSC: 76X05 76F65 PDFBibTeX XMLCite \textit{D. Qi} and \textit{A. J. Majda}, Res. Math. Sci. 7, No. 3, Paper No. 22, 32 p. (2020; Zbl 1454.76111) Full Text: DOI
Diamantis, Nikolaos; Drewitt, Joshua Period functions associated to real-analytic modular forms. (English) Zbl 1459.11124 Res. Math. Sci. 7, No. 3, Paper No. 21, 23 p. (2020). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11M41 PDFBibTeX XMLCite \textit{N. Diamantis} and \textit{J. Drewitt}, Res. Math. Sci. 7, No. 3, Paper No. 21, 23 p. (2020; Zbl 1459.11124) Full Text: DOI arXiv
Darbon, Jérôme; Langlois, Gabriel P.; Meng, Tingwei Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures. (English) Zbl 1445.35119 Res. Math. Sci. 7, No. 3, Paper No. 20, 50 p. (2020). MSC: 35F21 35F25 92C20 35R30 PDFBibTeX XMLCite \textit{J. Darbon} et al., Res. Math. Sci. 7, No. 3, Paper No. 20, 50 p. (2020; Zbl 1445.35119) Full Text: DOI arXiv
Arango-Piñeros, Santiago; Rojas, Juan Diego The global field Euler function. (English) Zbl 1469.11442 Res. Math. Sci. 7, No. 3, Paper No. 19, 21 p. (2020). MSC: 11R42 11A25 11N37 PDFBibTeX XMLCite \textit{S. Arango-Piñeros} and \textit{J. D. Rojas}, Res. Math. Sci. 7, No. 3, Paper No. 19, 21 p. (2020; Zbl 1469.11442) Full Text: DOI
Chen, Nan Improving the prediction of complex nonlinear turbulent dynamical systems using nonlinear filter, smoother and backward sampling techniques. (English) Zbl 1444.62102 Res. Math. Sci. 7, No. 3, Paper No. 18, 39 p. (2020). MSC: 62M10 62M20 62R07 62G32 62J05 62H12 62H30 62P35 86A32 PDFBibTeX XMLCite \textit{N. Chen}, Res. Math. Sci. 7, No. 3, Paper No. 18, 39 p. (2020; Zbl 1444.62102) Full Text: DOI
Lions, Pierre-Louis; Souganidis, Panagiotis E. New regularity results for Hamilton-Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions. (English) Zbl 1444.60065 Res. Math. Sci. 7, No. 3, Paper No. 17, 18 p. (2020). MSC: 60H15 35D40 35F21 35R60 PDFBibTeX XMLCite \textit{P.-L. Lions} and \textit{P. E. Souganidis}, Res. Math. Sci. 7, No. 3, Paper No. 17, 18 p. (2020; Zbl 1444.60065) Full Text: DOI
Jiang, Shixiao W.; Harlim, John Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework. (English) Zbl 1447.37067 Res. Math. Sci. 7, No. 3, Paper No. 16, 25 p. (2020). MSC: 37M10 37M25 41A10 41A45 60J22 PDFBibTeX XMLCite \textit{S. W. Jiang} and \textit{J. Harlim}, Res. Math. Sci. 7, No. 3, Paper No. 16, 25 p. (2020; Zbl 1447.37067) Full Text: DOI arXiv
Santosa, Fadil; Zhang, Hai Photonic band gap phenomenon in a metal-dielectric periodic structure. (English) Zbl 1447.78005 Res. Math. Sci. 7, No. 3, Paper No. 15, 15 p. (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 78A25 35P10 35B44 34L10 34L16 PDFBibTeX XMLCite \textit{F. Santosa} and \textit{H. Zhang}, Res. Math. Sci. 7, No. 3, Paper No. 15, 15 p. (2020; Zbl 1447.78005) Full Text: DOI
Lee, Yoonsang Parameter estimation in the stochastic superparameterization of two-layer quasigeostrophic flows. Estimation of subgrid-scale modeling parameters in the stochastic superparameterization of two-layer quasigeostrophic turbulence. (English) Zbl 1449.76029 Res. Math. Sci. 7, No. 3, Paper No. 14, 21 p. (2020). MSC: 76F55 76F65 76M20 86A10 86-08 76U60 PDFBibTeX XMLCite \textit{Y. Lee}, Res. Math. Sci. 7, No. 3, Paper No. 14, 21 p. (2020; Zbl 1449.76029) Full Text: DOI
Chen, Wenbin; Li, Weijia; Wang, Cheng; Wang, Shufen; Wang, Xiaoming Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. (English) Zbl 1447.65097 Res. Math. Sci. 7, No. 3, Paper No. 13, 27 p. (2020). MSC: 65M70 65M06 65M15 65M12 65Z05 76A20 PDFBibTeX XMLCite \textit{W. Chen} et al., Res. Math. Sci. 7, No. 3, Paper No. 13, 27 p. (2020; Zbl 1447.65097) Full Text: DOI
Sawin, Will Singularities and vanishing cycles in number theory over function fields. (English) Zbl 1469.11450 Res. Math. Sci. 7, No. 3, Paper No. 12, 32 p. (2020). MSC: 11R58 11M38 14D05 PDFBibTeX XMLCite \textit{W. Sawin}, Res. Math. Sci. 7, No. 3, Paper No. 12, 32 p. (2020; Zbl 1469.11450) Full Text: DOI arXiv
Lhamu, Drema; Singh, Sunil Kumar The quaternion Fourier and wavelet transforms on spaces of functions and distributions. (English) Zbl 1465.42042 Res. Math. Sci. 7, No. 3, Paper No. 11, 15 p. (2020). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42C40 46F12 42B10 PDFBibTeX XMLCite \textit{D. Lhamu} and \textit{S. K. Singh}, Res. Math. Sci. 7, No. 3, Paper No. 11, 15 p. (2020; Zbl 1465.42042) Full Text: DOI