Aerts, C. Probing the interior physics of stars through asteroseismology. Rev. Mod. Phys. 93, 015001 (2021).
Li, T. et al. Asteroseismology of 3642 Kepler red giants: correcting the scaling relations based on detailed modeling. Astrophys. J. 927, 167 (2022).
Roxburgh, I. W. & Vorontsov, S. V. The ratio of small to large separations of acoustic oscillations as a diagnostic of the interior of solar-like stars. Astron. Astrophys. 411, 215–220 (2003).
White, T. R. et al. Asteroseismic diagrams from a survey of solar-like oscillations with Kepler. Astrophys. J. Lett. 742, L3 (2011).
Lund, M. N. et al. Standing on the shoulders of dwarfs: the Kepler Asteroseismic LEGACY sample. I. Oscillation mode parameters. Astrophys. J. 835, 172 (2017).
Kjeldsen, H. & Bedding, T. R. Amplitudes of stellar oscillations: the implications for asteroseismology. Astron. Astrophys. 293, 87–106 (1995).
Tassoul, M. Asymptotic approximations for stellar nonradial pulsations. Astrophys. J. Suppl. Ser. 43, 469–490 (1980).
Tassoul, M. Second-order asymptotic approximations for stellar nonradial acoustic modes. Astrophys. J. 358, 313–327 (1990).
Roxburgh, I. W. & Vorontsov, S. V. The seismology of stellar cores: a simple theoretical description of the ‘small frequency separations’. Mon. Not. R. Astron. Soc. 267, 297–302 (1994).
Christensen-Dalsgaard, J. The Sun as a fundamental calibrator of stellar evolution. In Proc. International Astronomical Union, Vol. 4, Symposium S258: The Ages of Stars, Vol. 4, 431–442 (Cambridge Univ. Press, 2009).
Christensen-Dalsgaard, J. A Hertzsprung-Russell diagram for stellar oscillations. In Proc. Symposium of International Astronomical Union, Advances in Helio- and Asteroseismology 123, 295–298 (Cambridge Univ. Press, 1988).
Aizenman, M., Smeyers, P. & Weigert, A. Avoided crossing of modes of non-radial stellar oscillations. Astron. Astrophys. 58, 41–46 (1977).
Benomar, O. et al. Properties of oscillation modes in subgiant stars observed by Kepler. Astrophys. J. 767, 158 (2013).
Mosser, B., Pinçon, C., Belkacem, K., Takata, M. & Vrard, M. Period spacings in red giants. III. Coupling factors of mixed modes. Astron. Astrophys. 600, A1 (2017).
Montalbán, J., Miglio, A., Noels, A., Scuflaire, R. & Ventura, P. Seismic diagnostics of red giants: first comparison with stellar models. Astrophys. J. Lett. 721, L182–L188 (2010).
Huber, D. et al. Asteroseismology of red giants from the first four months of Kepler data: global oscillation parameters for 800 stars. Astrophys. J. 723, 1607–1617 (2010).
Corsaro, E. et al. Asteroseismology of the open clusters NGC 6791, NGC 6811, and NGC 6819 from 19 months of Kepler photometry. Astrophys. J. 757, 190 (2012).
Ong, J. M. & Basu, S. Semianalytic expressions for the isolation and coupling of mixed modes. Astrophys. J. 898, 127 (2020).
Gilliland, R. L. et al. A search for solar-like oscillations in the stars of M67 with CCD ensemble photometry on a network of 4m telescopes. Astron. J. 106, 2441 (1993).
Stello, D. et al. The K2 M67 study: revisiting old friends with K2 reveals oscillating red giants in the open cluster M67. Astrophys. J. 832, 133 (2016).
Howell, S. B. et al. The K2 Mission: characterization and early results. Publ. Astron. Soc. Pac. 126, 398–408 (2014).
Reyes, C. et al. Isochrone fitting of the open cluster M67 in the era of Gaia and improved model physics. Mon. Not. R. Astron. Soc. 532, 2860–2874 (2024).
Salaris, M. & Cassisi, S. Evolution of Stars and Stellar Populations (Wiley, 2005).
Hekker, S. & Christensen-Dalsgaard, J. Giant star seismology. Astron. Astrophys. Rev. 25, 1 (2017).
Roxburgh, I. W. The ratio of small to large separations of stellar p-modes. Astron. Astrophys. 434, 665–669 (2005).
Roxburgh, I. W. & Vorontsov, S. V. On the use of the ratio of small to large separations in asteroseismic model fitting. Astron. Astrophys. 560, A2 (2013).
Cunha, M. S., Stello, K., Avelino, P. P., Christensen-Dalsgaard, J. & Townsend, R, H. D. Structural glitches near the cores of Red Giants Revealed by Oscillations in g-mode Period Spacings from Stellar Models. Astrophys. J. 805, 127 (2015).
Basu, S. & Chaplin, W. J. Asteroseismic Data Analysis: Foundations and Techniques (Princeton Univ. Press, 2017).
Lindsay, C. J., Ong, J. M. J. & Basu, S. Near-core acoustic glitches are not oscillatory: consequences for asteroseismic probes of convective boundary mixing. Astrophys. J. 950, 19 (2023).
Roxburgh, I. in SCORe’96 : Solar Convection and Oscillations and Their Relationship (eds Pijpers, F. P. et al.) 225, 23–50 (Springer, 1997).
Choi, J. et al. Mesa Isochrones and Stellar Tracks (MIST). I. Solar-scaled models. Astrophys. J. 823, 102 (2016).
Khan, S. et al. The red-giant branch bump revisited: constraints on envelope overshooting in a wide range of masses and metallicities. Astrophys. J. 859, 156 (2018).
Lindsay, C. J., Ong, J. M. J. & Basu, S. Mixed-mode asteroseismology of red giant stars through the luminosity bump. Astrophys. J. 931, 116 (2022).
Miglio, A. Asteroseismology of red giants as a tool for studying stellar populations: first steps. In Red Giants as Probes of the Structure and Evolution of the Milky Way. Astrophysics and Space Science Proceedings (eds Miglio, A. et al.) Vol. 26, 11 (Springer, 2012).
Miglio, A. et al. Age dissection of the Milky Way discs: red giants in the Kepler field. Astron. Astrophys. 645, A85 (2021).
Lomb, N. R. Least-squares frequency analysis of unequally spaced data. Astrophys. Space Sci. 39, 447–462 (1976).
Chontos, A., Huber, D., Sayeed, M. & Yamsiri, P. pySYD: automated measurements of global asteroseismic parameters. J. Open Source Softw. 7, 3331 (2022).
Huber, D. et al. Automated extraction of oscillation parameters for Kepler observations of solar-type stars. Commun. Asteroseismol. 160, 74 (2009).
Kallinger, T. Release note: massive peak bagging of red giants in the Kepler field. Preprint at https://doi.org/10.48550/arXiv.1906.09428 (2019).
Townsend, R. H. D. & Teitler, S. A. gyre: an open-source stellar oscillation code based on a new Magnus Multiple Shooting scheme. Mon. Not. R. Astron. Soc. 435, 3406–3418 (2013).
Ball, W. H. & Gizon, L. A new correction of stellar oscillation frequencies for near-surface effects. Astron. Astrophys. 568, A123 (2014).
Silva Aguirre, V. et al. Standing on the shoulders of dwarfs: the Kepler asteroseismic LEGACY sample. II. Radii, masses, and ages. Astrophys. J. 835, 173 (2017).
White, T. R. et al. Calculating asteroseismic diagrams for solar-like oscillations. Astrophys. J. 743, 161 (2011).
Roxburgh, I. W. Asteroseismology of solar and stellar models. Astrophys. Space Sci. 328, 3–11 (2010).
Mosser, B. et al. Characterization of the power excess of solar-like oscillations in red giants with Kepler. Astron. Astrophys. 537, A30 (2012).
Gough, D. O. & Thompson, M. J. in Solar Interior and Atmosphere (eds Cox, A. N. et al.) 519–561 (Univ. Arizona Press, 1991).
García Pérez, A. E. et al. ASPCAP: the APOGEE Stellar Parameter and Chemical Abundances Pipeline. Astron. J. 151, 144 (2016).
Jönsson, H. et al. APOGEE data and spectral analysis from SDSS data release 16: seven years of observations including first results from APOGEE-South. Astron. J. 160, 120 (2020).
Reyes, C. Dataset for manuscript “Acoustic modes in M67 cluster stars trace deepening convective envelopes”. Zenodo https://doi.org/10.5281/zenodo.12617071 (2025).