A. CONFORMAL DIMENSION OF RANDOM FRACTALS
A1. Onthe duality between p-modulus and probability measures (Ambrosio, Di Marino, Savaré).
https://arxiv.org/abs/1311.1381
A2. Fractal percolation and quasisymmetric mappings (Rossi, Suomala).
https://arxiv.org/abs/1905.11080
A3. Conformal dimension of the Brownian graph (Binder, Hakobyan, Li).
https://arxiv.org/abs/2309.02350
B. INTERACTIONS BETWEEN CONFORMAL GEOMETRY AND RIEMANN SURFACES
B1. Conformal dimension and Gromov hyperbolic groups with 2–sphere boundary (Bonk, Kleiner).
https://msp.org/gt/2005/9-1/gt-v9-n1-p07-s.pdf
B2. On local minimality of Hausdorff dimension for round limit sets (Douba, Sambarino, Pallete).
https://arxiv.org/abs/2610.20358
B3. The Brownian loop measure on Riemann surfaces and applications to length spectra (Wang, Xue).
https://arxiv.org/abs/2406.09108
C. DESCENT AND CHAINING AS METHODS OF PROOF IN ANALYSIS
C1. The method of descent and chaining,
in What a Proof Should Remember, Chapters 2.1, 2.2 (Burstein, Iosevich, Krause)∗
C2. The John-Nirenberg inequality,
in What a Proof Should Remember, Chapter 3 (Burstein, Iosevich, Krause)∗
C3. Bourgain’s selection theorem,
in What a Proof Should Remember, Chapter 5 (Burstein, Iosevich, Krause)∗
C4. Restricted isometry
in What a Proof Should Remember, Chapter 6 (Burstein, Iosevich, Krause)∗
D. ERD˝ OS SIMILARITY CONJECTURE
D1. The geometric case of the Erd˝os similarity conjecture,
in What a Proof Should Remember, Chapter 15.3 (Burstein, Iosevich, Krause)∗
D2. Erd˝os Similarity Problem via Bi-Lipschitz Embedding (Feng, Lai, Xiong).
https://arxiv.org/abs/2312.01319
D3. The Erd˝os similarity conjecture and Rajchman Measures (Iosevich, Kulkarni, Mora Cuéllar, Rojas Aravena, Yavicoli).
https://arxiv.org/abs/2609.04456
D4. The Erd˝os similarity conjecture for two-fold sumsets with a geometric summand (Mora Cuéllar, Iosevich, Kulkarni, Rojas Aravena, Yavicoli).
