Beosztás:
egyetemi docens
Fokozat:
PhD
Szoba:
H506
Email:
balubs@math.bme.hu
Telefon:
463-1673

Önéletrajz PDF fájl
Kurzusok
Tantárgy neve | Kurzus kód |
---|---|
Fraktálok és geometriai mértékelmélet | BMETE95MM06/T0 |
Matematika MSc építőmérnököknek | BMETE90MX33/ENV |
Valószínűségszámítás 2 | BMETE95AM30/T1 |
Valószínűségszámítás 2 | BMETE95AM30/T0 |
Oktatás
- Advanced mathematics for civil engineers
- Probability Theory 1
- Probability Theory 2
- Fractals and geometric measure theory
Geometric measure theory, Fractal geometry, Ergodic theory, Dynamical systems.
Kiemelt publikációk
- Hausdorff dimension of planar self-affine sets and measures Invent. Math. 216 no. 3 (2019), 601-659. (with Michael Hochman and Ariel Rapaport)
- On the dimension of the graph of the classical Weierstrass function, Adv. Math. 265 (2014), 32-59. (with Krzysztof Barański, Julia Romanowska)
- Ledrappier–Young formula and exact dimensionality of self-affine measures Adv. in Math. 318 (2017), 88-129. (with Antti Käenmäki)
- On the Ledrappier-Young formula for self-affine measures, Math. Proc. Camb. Phil. Soc. 159 no. 3 (2015), 405-432.
- Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures, J Stat Phys 148 no. 3 (2012), 393-421. (with Mark Pollicott, Károly Simon)
- Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles Israel J. Math 239 (2020), 173-214. (with Antti Käenmäki and Ian D. Morris)
- On the Hausdorff measure of shrinking target sets on self-conformal sets Mathematika 67 no. 4 (2021), 807-839. (with Demi Allen)
- Super-exponential condensation without exact overlaps Adv. in Math. 379 (2021), id:107549. (with Antti Käenmäki)
- Assouad dimension of planar self-affine sets Trans. Amer. Math. Soc. 374 (2021), 1297-1326. (with Antti Käenmäki and Eino Rossi)
- Dimension of Planar Non-conformal Attractors with Triangular Derivative Matrices Comm. Math. Phys. 405 no. 11 (2024), id:256. (with Antti Käenmäki)
Book:
- Self-Similar and Self-Affine Sets and Measures AMS Mathematical Surveys and Monographs 276 2023. (with Károly Simon and Boris Solomyak)