Nature

Polyanalytic Function Theory and Hermite Polynomials

Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...
Nature

Bernstein Polynomial Estimation and Density Functions

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...
University of Bristol

Non-linear Systems

Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...
Kaleido Scope

Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages

All UAB students, faculty and guests are invited. In this talk, for an ergodic probability preserving system (X,B,m,T), we will discuss the existence of a Z^d valued function , whose corresponding ...