@inbook{fe909ebb66fa4580acb9f5c67b405a02,

title = "Ground State Stability in Two Spin Glass Models",

abstract = "An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then fluctuations in their energy differences—and therefore the possibility of multiple ground states—are closely related to the stability of their ground states. Here we examine the stability of ground states in two models, one of which is presumed to have a ground state structure that is qualitatively similar to other realistic short-range spin glasses in finite dimensions.",

keywords = "Critical droplets, Highly disordered model, Spin glass, Strongly disordered model",

author = "Arguin, {L. P.} and Newman, {C. M.} and Daniel Stein",

note = "Funding Information: Acknowledgments The research of L.-P. A. was supported in part by NSF CAREER DMS-1653602. The research of CMN was supported in part by NSF Grant DMS-1507019. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2021",

doi = "10.1007/978-3-030-60754-8_2",

language = "English (US)",

series = "Progress in Probability",

publisher = "Birkhauser",

pages = "17--25",

booktitle = "Progress in Probability",

}