LAUSR

Large deviation principle for random variables under sublinear expectations on Rd

Sign Up to like & get
recommendations!
0 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

The inverse variational principle in random dynamical systems

Sign Up to like & get
recommendations!
0 Published in 2025 at "Dynamical Systems"

DOI: 10.1080/14689367.2025.2470738

Abstract: This paper introduces the concepts of upper and lower capacity topological pressure for non-compact sets into the context of random dynamical systems. Subsequently, we investigate their properties and establish their measurability, demonstrating that these concepts… read more here.

Keywords: dynamical systems; random dynamical; inverse variational; principle random ... See more keywords

Large Deviation Principle for Random Permutations

Sign Up to like & get
recommendations!
1 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