Equality of Hölder exponents for distribution functions of Gibbs measures
Abstract
Abstract Pointwise Hölder exponents describe the degree of regularity of a function near a point. For a function f : R → R , a number α > 0 and a point t 0 ∈ R , write f ∈ C α ( t 0 ) if there exist a constant C > 0 , a number h > 0 and a polynomial P of degree less than α such that | f ( t ) − P ( t − t 0 ) | ⩽ C | t − t 0 | α for all t ∈ ( t 0 − h , t 0 + h ) . The pointwise Hölder exponent of f at t 0
Fields of Study & Subjects
Bayesian Methods and Mixture Models
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 9
- Pages
- 095020–095020
- Publication date
- 18 September 2026
- Language
- EN