@article{Folena_2020_Rethinking, author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico}, title = {Rethinking Mean-Field Glassy Dynamics and Its Relation with the Energy Landscape: The Surprising Case of the Spherical Mixed $p$-Spin Model}, journal = {Physical Review X}, publisher = {American Physical Society}, year = {2020}, month = {8}, volume = {10}, pages = {031045}, url = {https://link.aps.org/doi/10.1103/PhysRevX.10.031045}, doi = {10.1103/PhysRevX.10.031045}, issue = {3}, numpages = {26} } @article{Folena_2021_Gradient, author = {Folena, Giampaolo and Franz, Silvio and Ricci-Tersenghi, Federico}, title = {Gradient descent dynamics in the mixed $p$-spin spherical model: finite-size simulations and comparison with mean-field integration}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, publisher = {IOP Publishing}, year = {2021}, month = {3}, number = {3}, volume = {2021}, pages = {033302}, url = {https://doi.org/10.1088%2F1742-5468%2Fabe29f}, doi = {10.1088/1742-5468/abe29f} } @article{Kent-Dobias_2023_How, author = {Kent-Dobias, Jaron and Kurchan, Jorge}, title = {How to count in hierarchical landscapes: a full solution to mean-field complexity}, journal = {Physical Review E}, publisher = {American Physical Society (APS)}, year = {2023}, month = {6}, number = {6}, volume = {107}, pages = {064111}, url = {https://doi.org/10.1103/PhysRevE.107.064111}, doi = {10.1103/PhysRevE.107.064111} } @unpublished{Kent-Dobias_2024_Algorithm-independent, author = {Kent-Dobias, Jaron}, title = {Algorithm-independent bounds on complex optimization through the statistics of marginal optima}, year = {2024}, month = {July}, url = {https://arxiv.org/abs/2407.02092}, note = {arXiv preprint}, archiveprefix = {arXiv}, eprint = {2407.02092}, primaryclass = {cond-mat.dis-nn} } @article{Kent-Dobias_2024_Conditioning, author = {Kent-Dobias, Jaron}, title = {Conditioning the complexity of random landscapes on marginal optima}, journal = {Physical Review E}, publisher = {American Physical Society (APS)}, year = {2024}, month = {December}, number = {6}, volume = {110}, pages = {064148}, url = {http://dx.doi.org/10.1103/PhysRevE.110.064148}, doi = {10.1103/physreve.110.064148}, issn = {2470-0053} } @article{Kent-Dobias_2025_On, author = {Kent-Dobias, Jaron}, title = {On the topology of solutions to random continuous constraint satisfaction problems}, journal = {SciPost Physics}, publisher = {Stichting SciPost}, year = {2025}, month = {May}, number = {5}, volume = {18}, pages = {158}, url = {http://dx.doi.org/10.21468/SciPostPhys.18.5.158}, doi = {10.21468/scipostphys.18.5.158}, issn = {2542-4653} }