Simon Baker

Simon Baker

Manchester University

H-index: 12

North America-United States

About Simon Baker

Simon Baker, With an exceptional h-index of 12 and a recent h-index of 10 (since 2020), a distinguished researcher at Manchester University, specializes in the field of Dynamical Systems, Fractal Geometry, and Number Theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

Intrinsic Diophantine approximation for overlapping iterated function systems

Polynomial Fourier decay for fractal measures and their pushforwards

Quantitative recurrence and the shrinking target problem for overlapping iterated function systems

Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Gap statistics and higher correlations for geometric progressions modulo one

A note on dyadic approximation in Cantor’s set

On the cardinality and dimension of the horizontal slices of the graphs of Okamoto's functions

Metric results for numbers with multiple -expansions

Simon Baker Information

University

Position

EPSRC Doctoral prize fellow School of Mathematics

Citations(all)

469

Citations(since 2020)

354

Cited By

283

hIndex(all)

12

hIndex(since 2020)

10

i10Index(all)

18

i10Index(since 2020)

13

Email

University Profile Page

Manchester University

Google Scholar

View Google Scholar Profile

Simon Baker Skills & Research Interests

Dynamical Systems

Fractal Geometry

and Number Theory

Top articles of Simon Baker

Title

Journal

Author(s)

Publication Date

Intrinsic Diophantine approximation for overlapping iterated function systems

Mathematische Annalen

Simon Baker

2023/3/22

Polynomial Fourier decay for fractal measures and their pushforwards

arXiv preprint arXiv:2401.01241

Simon Baker

Amlan Banaji

2024/1/2

Quantitative recurrence and the shrinking target problem for overlapping iterated function systems

Advances in Mathematics

Simon Baker

Henna Koivusalo

2024/4/1

Spectral gaps and Fourier dimension for self-conformal sets with overlaps

arXiv preprint arXiv:2306.01389

Simon Baker

Tuomas Sahlsten

2023/6/2

Gap statistics and higher correlations for geometric progressions modulo one

Mathematische Annalen

Christoph Aistleitner

Simon Baker

Niclas Technau

Nadav Yesha

2023/2

A note on dyadic approximation in Cantor’s set

Indagationes Mathematicae

Demi Allen

Simon Baker

Sam Chow

Han Yu

2023/1/1

On the cardinality and dimension of the horizontal slices of the graphs of Okamoto's functions

arXiv preprint arXiv:2310.01902

Simon Baker

George Bender

2023/10/3

Metric results for numbers with multiple -expansions

Journal of Fractal Geometry

Simon Baker

Yuru Zou

2023/8/9

Overlapping iterated function systems from the perspective of Metric Number Theory

Simon Baker

2023/7

On normal numbers and self-similar measures

Advances in Mathematics

Amir Algom

Simon Baker

Pablo Shmerkin

2022/4/16

Approximating elements of the middle third Cantor set with dyadic rationals

arXiv preprint arXiv:2203.12477

Simon Baker

2022/3/23

Analogues of Khintchine’s theorem for random attractors

Transactions of the American Mathematical Society

Simon Baker

Sascha Troscheit

2022/2

Iterated function systems with super-exponentially close cylinders II

Proceedings of the American Mathematical Society

Simon Baker

2022/1

Recurrence rates for shifts of finite type

arXiv preprint arXiv:2209.01919

Demi Allen

Simon Baker

Balázs Bárány

2022/9/1

Equidistribution results for self-similar measures

International Mathematics Research Notices

Simon Baker

2022/8/6

Maximizing Bernoulli measures and dimension gaps for countable branched systems

Ergodic Theory and Dynamical Systems

Simon Baker

Natalia Jurga

2021/7

On the pair correlations of powers of real numbers

Israel Journal of Mathematics

Christoph Aistleitner

Simon Baker

2021/4

Quantitative recurrence properties for self-conformal sets

Proceedings of the American Mathematical Society

Simon Baker

Michael Farmer

2021/3

New dimension bounds for αβ sets

Journal of Number Theory

Simon Baker

2021/11/1

On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne

Advances in Mathematics

Simon Baker

Derong Kong

2020/1/22

See List of Professors in Simon Baker University(Manchester University)