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+@article{chikano18,
+  title = {Performance analysis of a physically constructed orthogonal representation of imaginary-time {G}reen's function},
+  author = {Chikano, Naoya and Otsuki, Junya and Shinaoka, Hiroshi},
+  journal = {Phys. Rev. B},
+  volume = {98},
+  issue = {3},
+  pages = {035104},
+  numpages = {11},
+  year = {2018},
+  month = {Jul},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.98.035104},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.98.035104}
+}
+
+
+@article{kaye22_dlr,
+  title = {Discrete {L}ehmann representation of imaginary time {G}reen's functions},
+  author = {Kaye, Jason and Chen, Kun and Parcollet, Olivier},
+  journal = {Phys. Rev. B},
+  volume = {105},
+  issue = {23},
+  pages = {235115},
+  numpages = {18},
+  year = {2022},
+  _month = {Jun},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.105.235115},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.105.235115}
+}
+
+@article{kaye22_libdlr,
+title = {{libdlr}: {E}fficient imaginary time calculations using the discrete
+  {L}ehmann representation},
+_journal = {Computer Physics Communications},
+journal = {Comput. Phys. Commun.},
+volume = {280},
+pages = {108458},
+year = {2022},
+issn = {0010-4655},
+doi = {https://doi.org/10.1016/j.cpc.2022.108458},
+url = {https://www.sciencedirect.com/science/article/pii/S0010465522001771},
+author = {Jason Kaye and Kun Chen and Hugo U. R. Strand},
+keywords = {Many-body quantum physics, Imaginary time Green's functions, Low rank compression},
+}
+
+@article{kaye23_eqdyson,
+author = {Kaye, Jason and U. R. Strand, Hugo},
+title = {A Fast Time Domain Solver for the Equilibrium Dyson Equation},
+year = {2023},
+_issue_date = {Aug 2023},
+publisher = {Springer-Verlag},
+address = {Berlin, Heidelberg},
+volume = {49},
+number = {4},
+issn = {1019-7168},
+url = {https://doi.org/10.1007/s10444-023-10067-7},
+doi = {10.1007/s10444-023-10067-7},
+_abstract = {We consider the numerical solution of the real-time equilibrium Dyson equation, which is used in calculations of the dynamical properties of quantum many-body systems. We show that this equation can be written as a system of coupled, nonlinear, convolutional Volterra integro-differential equations, for which the kernel depends self-consistently on the solution. As is typical in the numerical solution of Volterra-type equations, the computational bottleneck is the quadratic-scaling cost of history integration. However, the structure of the nonlinear Volterra integral operator precludes the use of standard fast algorithms. We propose a quasilinear-scaling FFT-based algorithm which respects the structure of the nonlinear integral operator. The resulting method can reach large propagation times and is thus well-suited to explore quantum many-body phenomena at low energy scales. We demonstrate the solver with two standard model systems: the Bethe graph and the Sachdev-Ye-Kitaev model.},
+journal = {Adv. Comput. Math.},
+_month = {aug},
+numpages = {26},
+_keywords = {81-10, 81T18, 81-08, 81S40, Nonlinear Volterra integral equations, 45J05, Equilibrium Dyson equation, Fast algorithms, 45D05, Many-body Green’s function methods}
+}
+
+@misc{kaye23_diagrams,
+      title={Decomposing imaginary time Feynman diagrams using separable basis functions: Anderson impurity model strong coupling expansion}, 
+      author={Jason Kaye and Hugo U. R. Strand and Denis Golež},
+      year={2023},
+      eprint={2307.08566},
+      archivePrefix={arXiv},
+      primaryClass={cond-mat.str-el}
+}
+
+@article{sheng23,
+  title = {Low-rank {G}reen's function representations applied to dynamical mean-field theory},
+  author = {Sheng, Nan and Hampel, Alexander and Beck, Sophie and Parcollet, Olivier and Wentzell, Nils and Kaye, Jason and Chen, Kun},
+  journal = {Phys. Rev. B},
+  volume = {107},
+  issue = {24},
+  pages = {245123},
+  numpages = {6},
+  year = {2023},
+  month = {Jun},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.107.245123},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.107.245123}
+}
+
+@article{parcollet15,
+title = "{TRIQS}: {A} toolbox for research on interacting quantum systems",
+_journal = "Computer Physics Communications",
+journal = "Comput. Phys. Commun.",
+volume = "196",
+number = "",
+pages = "398-415",
+year = "2015",
+note = "",
+issn = "0010-4655",
+doi = "http://dx.doi.org/10.1016/j.cpc.2015.04.023",
+url = "http://www.sciencedirect.com/science/article/pii/S0010465515001666",
+author = "Olivier Parcollet and Michel Ferrero and Thomas Ayral and Hartmut Hafermann and Igor Krivenko and Laura Messio and Priyanka Seth"
+}
+
+@article{shinaoka17,
+  title = {Compressing {G}reen's function using intermediate representation between imaginary-time and real-frequency domains},
+  author = {Shinaoka, Hiroshi and Otsuki, Junya and Ohzeki, Masayuki and Yoshimi, Kazuyoshi},
+  journal = {Phys. Rev. B},
+  volume = {96},
+  issue = {3},
+  pages = {035147},
+  numpages = {8},
+  year = {2017},
+  month = {Jul},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.96.035147},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.96.035147}
+}
+
+@article{boehnke11,
+  title = {Orthogonal polynomial representation of imaginary-time {G}reen's functions},
+  author = {Boehnke, Lewin and Hafermann, Hartmut and Ferrero, Michel and Lechermann, Frank and Parcollet, Olivier},
+  journal = {Phys. Rev. B},
+  volume = {84},
+  issue = {7},
+  pages = {075145},
+  numpages = {13},
+  year = {2011},
+  _month = {Aug},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.84.075145},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.84.075145}
+}
+
+@article{dong20,
+   title={Legendre-spectral {D}yson equation solver with super-exponential convergence},
+   volume={152},
+   ISSN={1089-7690},
+   url={http://dx.doi.org/10.1063/5.0003145},
+   DOI={10.1063/5.0003145},
+   number={13},
+   _journal={The Journal of Chemical Physics},
+   journal={J. Chem. Phys.},
+   publisher={AIP Publishing},
+   author={Dong, Xinyang and Zgid, Dominika and Gull, Emanuel and Strand, Hugo U. R.},
+   year={2020},
+   pages={134107}
+}
+
+@article{gull18,
+  title = {Chebyshev polynomial representation of imaginary-time response functions},
+  author = {Gull, Emanuel and Iskakov, Sergei and Krivenko, Igor and Rusakov, Alexander A. and Zgid, Dominika},
+  journal = {Phys. Rev. B},
+  volume = {98},
+  issue = {7},
+  pages = {075127},
+  numpages = {10},
+  year = {2018},
+  _month = {Aug},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.98.075127},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.98.075127}
+}
+
+@article{hubbard63,
+	author = {Hubbard, J.},
+	journal = {Proc. R. Soc. Lon. Ser.-A},
+	month = {11},
+	number = {1365},
+	pages = {238--257},
+	title = {Electron Correlations in Narrow Energy Bands},
+	volume = {276},
+	year = {1963}}
+
+@article{hedin65,
+  title = {{New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem}},
+  author = {Hedin, Lars},
+  journal = {Phys. Rev.},
+  volume = {139},
+  issue = {3A},
+  pages = {A796--A823},
+  numpages = {0},
+  year = {1965},
+  month = {Aug},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRev.139.A796},
+  url = {https://link.aps.org/doi/10.1103/PhysRev.139.A796}
+}
+
+@article{golze19,
+  title={{The $GW$ Compendium: A Practical Guide to Theoretical Photoemission Spectroscopy}},
+  author={Golze, Dorothea and Dvorak, Marc and Rinke, Patrick},
+  _journal={Frontiers in chemistry},
+  journal={Front. Chem.},
+  volume={7},
+  pages={377},
+  year={2019},
+  publisher={Frontiers Media SA},
+  url = {https://www.frontiersin.org/articles/10.3389/fchem.2019.00377/full},
+  doi = {10.3389/fchem.2019.00377}
+}
+
+@article{cai22,
+  title = {Superconductivity in the uniform electron gas: Irrelevance of the
+    {K}ohn-{L}uttinger mechanism},
+  author = {Cai, Xiansheng and Wang, Tao and Prokof'ev, Nikolay V. and Svistunov, Boris V. and Chen, Kun},
+  journal = {Phys. Rev. B},
+  volume = {106},
+  issue = {22},
+  pages = {L220502},
+  numpages = {5},
+  year = {2022},
+  _month = {Dec},
+  publisher = {American Physical Society},
+  doi = {10.1103/PhysRevB.106.L220502},
+  url = {https://link.aps.org/doi/10.1103/PhysRevB.106.L220502}
+}
+
+@misc{hou23,
+      title={Precursory {C}ooper Flow in Ultralow-Temperature Superconductors}, 
+      author={Pengcheng Hou and Xiansheng Cai and Tao Wang and Youjin Deng and Nikolay V. Prokof'ev and Boris V. Svistunov and Kun Chen},
+      year={2023},
+      eprint={2303.03624},
+      archivePrefix={arXiv},
+      primaryClass={cond-mat.supr-con}
+}
+
+@misc{johnston23,
+      title = {A comparative study of the superconductivity in the {H}olstein and optical {S}u-{S}chrieffer-{H}eeger models},
+      author = {{Tanjaroon Ly}, Andy and {Cohen-Stead}, Benjamin and {Malkaruge Costa}, Sohan and {Johnston}, Steven},
+      year = {2023},
+      eprint = {2307.10809},
+      archivePrefix = {arXiv},
+      primaryClass = {cond-mat.supr-con},
+}
+
+
+@misc{tprf,
+	author = {Hugo U. R. Strand},
+    journal = {GitHub repository},
+  	publisher = {GitHub},
+	url = {https://github.com/TRIQS/tprf},
+	title = {Two-Particle Response Function Tool-box (TPRF) for TRIQS},
+	year = {2019}}
+
+@misc{pydlr,
+    author = {Hugo U. R. Strand and Jason Kaye},
+    journal = {Python Package Index (PyPI) project},
+    url = {https://pypi.org/project/pydlr/},
+	title = {pydlr: Imaginary time calculations using the Discrete Lehmann Representation (DLR)},
+	year = {2021}}
+
+@misc{libdlr,
+	author = {Kaye, Jason and Strand, Hugo U. R.},
+    journal = {GitHub repository},
+	url = {https://github.com/jasonkaye/libdlr},
+	title = {libdr: Imaginary time calculations using the Discrete Lehmann
+	Representation (DLR)},
+  	publisher = {GitHub},
+	year = {2021}}
+
+@misc{Lehmann.jl,
+    journal = {GitHub repository},
+  	publisher = {GitHub},
+	title = {Lehmann.jl},
+	url = {https://github.com/numericaleft/Lehmann.jl},
+	title = {Julia implementation of the discrete Lehmann representation (DLR)},
+	year = {2021}}
+
+@misc{cppdlr_git,
+	author = {Kaye, Jason and Wentzell, Nils and Strand, Hugo U. R.},
+    journal = {GitHub repository},
+  	publisher = {GitHub},
+	url = {https://github.com/flatironinstitute/cppdlr},
+	title = {cppdlr: Imaginary time calculations using the discrete Lehmann representation},
+	year = {2023}}
+
+@misc{cppdlr_doc,
+	author = {Kaye, Jason and Wentzell, Nils and Strand, Hugo U. R.},
+    journal = {GitHub-hosted documentation},
+	url = {https://flatironinstitute.github.io/cppdlr/},
+	title = {cppdlr: Imaginary time calculations using the discrete Lehmann representation},
+	year = {2023}}
+
+@misc{nda,
+    journal = {GitHub repository},
+  	publisher = {GitHub},
+	url = {https://github.com/TRIQS/nda},
+	title = {nda: C++ library for multi-dimensional arrays}}
+
+@article{wallerberger23,
+title = {sparse-ir: Optimal compression and sparse sampling of many-body propagators},
+journal = {SoftwareX},
+volume = {21},
+pages = {101266},
+year = {2023},
+issn = {2352-7110},
+doi = {https://doi.org/10.1016/j.softx.2022.101266},
+url = {https://www.sciencedirect.com/science/article/pii/S2352711022001844},
+author = {Markus Wallerberger and Samuel Badr and Shintaro Hoshino and Sebastian Huber and Fumiya Kakizawa and Takashi Koretsune and Yuki Nagai and Kosuke Nogaki and Takuya Nomoto and Hitoshi Mori and Junya Otsuki and Soshun Ozaki and Thomas Plaikner and Rihito Sakurai and Constanze Vogel and Niklas Witt and Kazuyoshi Yoshimi and Hiroshi Shinaoka},
+keywords = {Intermediate representation, Sparse sampling, Python, Julia, Fortran},
+abstract = {We introduce sparse-ir, a collection of libraries to efficiently handle imaginary-time propagators, a central object in finite-temperature quantum many-body calculations. We leverage two concepts: firstly, the intermediate representation (IR), an optimal compression of the propagator with robust a priori error estimates, and secondly, sparse sampling, near-optimal grids in imaginary time and imaginary frequency from which the propagator can be reconstructed and on which diagrammatic equations can be solved. IR and sparse sampling are packaged into stand-alone, easy-to-use Python, Julia and Fortran libraries, which can readily be included into existing software. We also include an extensive set of sample codes showcasing the library for typical many-body and ab initio methods.}
+}
+
+@misc{labollita23,
+    author = {Harrison LaBollita and Jason Kaye and Hugo U. R. Strand},
+    title = {Stabilizing the calculation of the self-energy in dynamical mean-field theory using constrained residual minimization},
+    year = {2023},
+    journal = {In prepartion}
+}
+
+}