activity
20022023
most citedTopological Hausdorff dimension and level sets of generic continuous functions on fractals

30 citations · 72 across the 47 of their papers we have counts for

collaborators

54 papers

cs.SE2023★ 3 cited

To Do or Not to Do: Semantics and Patterns for Do Activities in UML PSSM State Machines

Márton Elekes, Vince Molnár, Zoltán Micskei

State machines are used in engineering many types of software-intensive systems. UML State Machines extend simple finite state machines with powerful constructs. Among the many ext…

math.LO2023

Generic isomorphism classes of abelian groups

Udayan B. Darji, Márton Elekes, Tamás Kátay +2

We prove that the universal solenoid is the generic (in the sense of Baire category) connected compact metrizable abelian group. We also settle the dual problem in the sense of Pon…

math.LO2022

Generic properties of topological groups

Márton Elekes, Boglárka Gehér, Tamás Kátay +3

We study generic properties of topological groups in the sense of Baire category. First we investigate countably infinite (discrete) groups. We extend a classical result of B. H. N…

math.LO2021

Generic countably infinite groups

Márton Elekes, Boglárka Gehér, Kristóf Kanalas +2

Countably infinite groups (with a fixed underlying set) constitute a Polish space with a suitable metric, hence the Baire category theorem holds in . We study isomorphism in…

math.CA2021★ 1 cited

Stability and measurability of the modified lower dimension

Richárd Balka, Márton Elekes, Viktor Kiss

The lower dimension is the dual concept of the Assouad dimension. As it fails to be monotonic, Fraser and Yu introduced the modified lower dimension by making…

math.CA2021

The range of dimensions of microsets

Richárd Balka, Márton Elekes, Viktor Kiss

We say that is a microset of the compact set if there exist sequences and such that conv…