The Large Deviation Principle for Interacting Dynamical Systems on Random Graphs
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04312-1
Abstract: Using the weak convergence approach to large deviations, we formulate and prove the large deviation principle (LDP) for W-random graphs in the cut-norm topology. This generalizes the LDP for Erdős-R{\' e}nyi random graphs by Chatterjee… read more here.
Keywords: principle; dynamical systems; large deviation; random graphs ... See more keywords
Large deviation principle for random variables under sublinear expectations on Rd
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124110
Abstract: Abstract In this paper, we obtain the large deviation principle for random variables in sublinear expectation spaces taking values in R d , which do not have to satisfy the independent identical distributed condition. We… read more here.
Keywords: random variables; variables sublinear; deviation principle; random ... See more keywords
Large Deviation Principle for Random Permutations
Sign Up to like & getrecommendations! Published in 2022 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnad096
Abstract: We derive a large deviation principle for random permutations induced by probability measures of the unit square, called permutons. These permutations are called $\mu $-random permutations. We also introduce and study a new general class… read more here.
Keywords: large deviation; deviation principle; random permutations; principle random ... See more keywords