Sascha Troscheit
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 32 72
- E-mail:
- sascha.troscheit@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Sascha Troscheit at Department of Mathematics; Academic staff
Senior Lecturer/Associate Professor at Department of Mathematics; Dynamical Systems and Number Theory
- E-mail:
- sascha.troscheit@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Senior Lecturer/Associate Professor at Department of Mathematics; Probability Theory and Combinatorics
- Telephone:
- +46 18 471 32 72
- E-mail:
- sascha.troscheit@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Short presentation
My main interest is the dimension theory of sets and measures arising from stochastic processes and dynamical systems. I study their interplay with fractal geometry, number theory, and geometric measure theory. Currently, I am studying:
- Continuum tree spaces and their relationship to analytical properties;
- Embedding problems of metric spaces;
- Geometric phase transistion and 'small scale behaviour' of sets and measures.
Personal webpage: www.troscheit.eu

Publications
Selection of publications
Interpolating with generalized Assouad dimensions
Part of Journal of Geometric Analysis, 2025
- DOI for Interpolating with generalized Assouad dimensions
- Download full text (pdf) of Interpolating with generalized Assouad dimensions
Stability relations for Hilbert space operators and a problem of Kaplansky
Part of Mathematische Zeitschrift, 2024
Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
Part of Communications in Mathematical Physics, p. 57-83, 2023
- DOI for Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
- Download full text (pdf) of Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
On the Minkowski content of self-similar random homogeneous iterated function systems
Part of Annales Fennici Mathematici, p. 345-359, 2023
- DOI for On the Minkowski content of self-similar random homogeneous iterated function systems
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On quasisymmetric embeddings of the Brownian map and continuum trees
Part of Probability theory and related fields, p. 1023-1046, 2021
- DOI for On quasisymmetric embeddings of the Brownian map and continuum trees
- Download full text (pdf) of On quasisymmetric embeddings of the Brownian map and continuum trees
Recent publications
Interpolating with generalized Assouad dimensions
Part of Journal of Geometric Analysis, 2025
- DOI for Interpolating with generalized Assouad dimensions
- Download full text (pdf) of Interpolating with generalized Assouad dimensions
MINKOWSKI WEAK EMBEDDING THEOREM
Part of Houston Journal of Mathematics, p. 259-273, 2024
Stability relations for Hilbert space operators and a problem of Kaplansky
Part of Mathematische Zeitschrift, 2024
Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
Part of Communications in Mathematical Physics, p. 57-83, 2023
- DOI for Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
- Download full text (pdf) of Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
On the Minkowski content of self-similar random homogeneous iterated function systems
Part of Annales Fennici Mathematici, p. 345-359, 2023
- DOI for On the Minkowski content of self-similar random homogeneous iterated function systems
- Download full text (pdf) of On the Minkowski content of self-similar random homogeneous iterated function systems
All publications
Articles in journal
Interpolating with generalized Assouad dimensions
Part of Journal of Geometric Analysis, 2025
- DOI for Interpolating with generalized Assouad dimensions
- Download full text (pdf) of Interpolating with generalized Assouad dimensions
MINKOWSKI WEAK EMBEDDING THEOREM
Part of Houston Journal of Mathematics, p. 259-273, 2024
Stability relations for Hilbert space operators and a problem of Kaplansky
Part of Mathematische Zeitschrift, 2024
Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
Part of Communications in Mathematical Physics, p. 57-83, 2023
- DOI for Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
- Download full text (pdf) of Box-Counting Dimension in One-Dimensional Random Geometry of Multiplicative Cascades
On the Minkowski content of self-similar random homogeneous iterated function systems
Part of Annales Fennici Mathematici, p. 345-359, 2023
- DOI for On the Minkowski content of self-similar random homogeneous iterated function systems
- Download full text (pdf) of On the Minkowski content of self-similar random homogeneous iterated function systems
Dynamically defined subsets of generic self-affine sets
Part of Nonlinearity, p. 4986-5013, 2022
- DOI for Dynamically defined subsets of generic self-affine sets
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Analogues of Khintchine's theorem for random attractors
Part of Transactions of the American Mathematical Society, p. 1411-1441, 2022
Exact Hausdorff and packing measures for random self-similar code-trees with necks
Part of Studia Mathematica, p. 253-285, 2021
- DOI for Exact Hausdorff and packing measures for random self-similar code-trees with necks
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On quasisymmetric embeddings of the Brownian map and continuum trees
Part of Probability theory and related fields, p. 1023-1046, 2021
- DOI for On quasisymmetric embeddings of the Brownian map and continuum trees
- Download full text (pdf) of On quasisymmetric embeddings of the Brownian map and continuum trees
Regularity versus smoothness of measures
Part of Pacific Journal of Mathematics, p. 257-275, 2021
Lower Assouad Dimension of Measures and Regularity
Part of Mathematical proceedings of the Cambridge Philosophical Society (Print), p. 379-415, 2019