diff options
| -rw-r--r-- | frsb_kac-rice.bib | 66 | ||||
| -rw-r--r-- | frsb_kac-rice.tex | 2 |
2 files changed, 41 insertions, 27 deletions
diff --git a/frsb_kac-rice.bib b/frsb_kac-rice.bib index b4ae437..6b06f84 100644 --- a/frsb_kac-rice.bib +++ b/frsb_kac-rice.bib @@ -152,6 +152,20 @@ doi = {10.1103/physrevlett.98.150201} } +@article{Cavagna_1997_Structure, + author = {Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio}, + title = {Structure of metastable states in spin glasses by means of a three replica potential}, + journal = {Journal of Physics A: Mathematical and General}, + publisher = {IOP Publishing}, + year = {1997}, + month = {7}, + number = {13}, + volume = {30}, + pages = {4449--4466}, + url = {https://doi.org/10.1088%2F0305-4470%2F30%2F13%2F004}, + doi = {10.1088/0305-4470/30/13/004} +} + @article{Charbonneau_2014_Fractal, author = {Charbonneau, Patrick and Kurchan, Jorge and Parisi, Giorgio and Urbani, Pierfrancesco and Zamponi, Francesco}, title = {Fractal free energy landscapes in structural glasses}, @@ -482,6 +496,32 @@ stochastic localization}, url = {https://projecteuclid.org:443/euclid.bams/1183505112} } +@article{Kent-Dobias_2021_Complex, + author = {Kent-Dobias, Jaron and Kurchan, Jorge}, + title = {Complex complex landscapes}, + journal = {Physical Review Research}, + publisher = {American Physical Society (APS)}, + year = {2021}, + month = {4}, + number = {2}, + volume = {3}, + pages = {023064}, + url = {https://doi.org/10.1103%2Fphysrevresearch.3.023064}, + doi = {10.1103/physrevresearch.3.023064} +} + +@article{Kent-Dobias_2022_Analytic, + author = {Kent-Dobias, Jaron and Kurchan, Jorge}, + title = {Analytic continuation over complex landscapes}, + year = {2022}, + month = {apr}, + url = {http://arxiv.org/abs/2204.06072v1}, + date = {2022-04-12T20:24:54Z}, + eprint = {2204.06072v1}, + eprintclass = {cond-mat.stat-mech}, + eprinttype = {arxiv} +} + @article{Li_2021_Determining, author = {Li, Huaping and Jin, Yuliang and Jiang, Ying and Chen, Jeff Z. Y.}, title = {Determining the nonequilibrium criticality of a {Gardner} transition via a hybrid study of molecular simulations and machine learning}, @@ -693,30 +733,4 @@ stochastic localization}, doi = {10.1103/physrevlett.128.248001} } -@article{kent2021complex, - title={Complex complex landscapes}, - author={Kent-Dobias, Jaron and Kurchan, Jorge}, - journal={Physical Review Research}, - volume={3}, - number={2}, - pages={023064}, - year={2021}, - publisher={APS} -} -@article{kent2022analytic, - title={Analytic continuation over complex landscapes}, - author={Kent-Dobias, Jaron and Kurchan, Jorge}, - journal={arXiv preprint arXiv:2204.06072}, - year={2022} -} -@article{cavagna1997structure, - title={Structure of metastable states in spin glasses by means of a three replica potential}, - author={Cavagna, Andrea and Giardina, Irene and Parisi, Giorgio}, - journal={Journal of Physics A: Mathematical and General}, - volume={30}, - number={13}, - pages={4449}, - year={1997}, - publisher={IOP Publishing} -} diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index c31cb62..1a576a3 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -1411,7 +1411,7 @@ saddles of random mean-field landscapes, including systems with many steps of RSB. For systems with full RSB, we find that minima are exponentially subdominant with respect to saddles at all energy densities above the ground state. The solution contains valuable geometric information that has yet to be -extracted in all detail, for example considering several copies of the system \cite{cavagna1997structure}, or the extension to complex variables \cite{kent2021complex,kent2022analytic}. +extracted in all detail, for example considering several copies of the system \cite{Cavagna_1997_Structure}, or the extension to complex variables \cite{Kent-Dobias_2021_Complex, Kent-Dobias_2022_Analytic}. A first and very important application of the method here is to perform the calculation for high dimensional spheres, where it would give us a clear |