1. Construction of p-energy measures associated with strongly local p-energy forms
   2025/02/14 by Sasaya, Kôhei · 2 citations
   #28A80 #31C45 #31E05 (Primary) 31C25 #46E36 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
2. p-Energy forms on fractals: recent progress
   2025/01/15 by Kajino, Naotaka, Shimizu, Ryosuke · 1 citation
   #28A80 #31C45 #31E05 #46E36 (Secondary) #60G30 (Primary) 31C25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
3. Sum-product phenomena for Ahlfors-regular sets
   2025/01/03 by William O'Regan, O'Regan, William · 2 citations
   Computer Science · Decision Sciences · Mathematics · #05B99 #28A78 #28A80 #Advanced Algebra and Logic #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Fuzzy and Soft Set Theory #Metric Geometry (math.MG) #Rings, Modules, and Algebras
4. Dimension of self-conformal measures associated to an exponentially separated analytic IFS on ℝ
   2024/12/21 by Ariel Rapaport, Rapaport, Ariel · 1 citation
   Mathematics · #28A80 #37C45 #Dynamical Systems (math.DS) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #Spectral Theory in Mathematical Physics
5. L² restriction estimates from the Fourier spectrum
   2024/12/19 by Carnovale, Marc, Fraser, Jonathan M., de Orellana, Ana E. · 3 citations
   #28A75 #28A78 #28A80 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #primary: 42B10 #secondary: 42B20
6. Simultaneous and multiplicative Diophantine approximation on missing-digit fractals
   2024/12/16 by Sam Chow, Chow, Sam, Han Yu +1 · 1 citation
   Mathematics · Physics and Astronomy · #11J83 (primary) #28A80 #42B05 (secondary) #Advanced Mathematical Theories and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories
7. New results on embeddings of self-similar sets via renormalization
   2024/10/25 by Amir Algom, Michael Hochman, Algom, Amir +4 · 1 citation
   Mathematics · #28A80 #37C45 #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG)
8. A quadratic Roth theorem for sets with large Hausdorff dimensions
   2024/10/13 by J. Zhu, Zhu, Junjie · 1 citation
   Mathematics · #28A80 #42A38 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals
9. High-order numerical integration on self-affine sets
   2024/10/01 by Joly, Patrick, Kachanovska, Maryna, Moitier, Zoïs · 1 citation
   #28A80 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
10. Variation bounds for spherical averages over restricted dilates
    2024/09/09 by Reuben Wheeler, Wheeler, Reuben · 1 citation
    Mathematics · #28A80 #42B25 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Point processes and geometric inequalities
11. On variants of the Furstenberg set problem
    2024/09/05 by Fraser, Jonathan M. · 1 citation
    #28A78 #28A80 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
12. Fractal geometry of continued fractions with large coefficients and dimension drop problems
    2024/08/31 by Fang, Lulu, Moreira, Carlos Gustavo, Zhang, Yiwei · 1 citation
    #11K50 #28A80 #37D35 #FOS: Mathematics #Number Theory (math.NT)
13. Pinned distances of planar sets with low dimension
    2024/08/01 by Jacob B. Fiedler, D. M. Stull, Fiedler, Jacob B. +1 · 2 citations
    Computer Science · Engineering · #28A78 #28A80 #68Q30 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #Computational Geometry and Mesh Generation #FOS: Mathematics #Logic (math.LO)
14. On Fourier asymptotics and effective equidistribution
    2024/07/16 by Datta, Shreyasi, Jana, Subhajit · 2 citations
    #11J83 #28A80 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
15. Inhomogeneous attractors and box dimension
    2024/07/11 by Fraser, Jonathan M. · 1 citation
    #26A18 #28A80 #37F32 #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG)
16. Interior points and Lebesgue measure of overlapping Mandelbrot percolation sets
    2024/07/09 by Vilma Orgoványi, Károly Simon, Orgoványi, Vilma +1 · 1 citation
    Mathematics · #28A80 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics #advanced mathematical theories
17. Weakly porous sets and A₁ Muckenhoupt weights in spaces of homogeneous type
    2024/06/20 by Aimar, Hugo, Gómez, Ivana, Vargas, Ignacio Gómez · 1 citation
    #28A75 #28A80 #42B37 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
18. Besov-Lipschitz norm and p-energy measure on scale-irregular Vicsek sets
    2024/06/02 by Chen, Aobo, Gao, Jin, Yu, Zhenyu +1 · 1 citation
    #28A80 #46E30 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)
19. Fractal analysis of Guthrie-Nymann's set and its generalisations
    2024/05/26 by Pratsiovytyi, Mykola, Karvatskyi, Dmytro · 1 citation
    #11B05 #28A80 #40A05 #Dynamical Systems (math.DS) #FOS: Mathematics
20. Dimension of homogeneous iterated function systems with algebraic translations
    2024/05/06 by Feng, De-Jun, Feng, Zhou · 2 citations
    #28A80 #42A85 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics
21. Contraction properties and differentiability of p-energy forms with applications to nonlinear potential theory on self-similar sets
    2024/04/21 by Kajino, Naotaka, Shimizu, Ryosuke · 4 citations
    #28A80 #31C25 #31E05 (Primary) 31C45 #39B62 #46E36 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)
22. Multifractal Analysis of F-exponents for Finitely Irreducible Conformal Graph Directed Markov Systems
    2024/04/14 by Nathan Dalaklis, Dalaklis, Nathan · 1 citation
    Mathematics · #28A80 #28D20 (Primary) 37A50 #37A05 (Secondary) #37D35 #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals
23. Elementary fractal geometry. 5. Weak separation is strong separation
    2024/04/07 by Christoph Bandt, Michael F. Barnsley, Bandt, Christoph +1 · 1 citation
    Mathematics · Physics and Astronomy · #11A63 #28A80 #37B10 #54B15 #68Q45 #Advanced Mathematical Theories and Applications #Computation and Language (cs.CL) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Dynamics and Fractals #Theoretical and Computational Physics
24. Counting rationals and diophantine approximation in missing-digit Cantor sets
    2024/02/28 by Chow, Sam, Varju, Peter, Yu, Han · 3 citations
    #11J83 (primary) #28A78 #28A80 #42A16 (secondary) #FOS: Mathematics #Number Theory (math.NT)
25. On Fourier transforms of fractal measures on the parabola
    2024/01/31 by Orponen, Tuomas, Puliatti, Carmelo, Pyörälä, Aleksi · 1 citation
    #11B30 #28A80 #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
26. Hausdorff dimensions of irreducible Markov hom tree-shifts
    2024/01/10 by Jung‐Chao Ban, Guan‐Yu Lai, Ban, Jung-Chao +3 · 1 citation
    Mathematics · #28A80 #60J10 (Primary) 37B10 (Secondary) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics
27. On nonlinear iterated function systems with overlaps
    2024/01/07 by Solomyak, Boris · 1 citation
    #28A80 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics
28. Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake
    2023/12/19 by Kombrink, Sabrina, Schmidt, Lucas · 1 citation
    #28A80 #35J20 #35P20 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG)
29. Fourier restriction and well-approximable numbers
    2023/11/15 by Fraser, Robert, Hambrook, Kyle, Ryou, Donggeun · 1 citation
    #11J83 #28A78 #28A80 #42A38 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
30. On a self-embedding problem of self-similar sets
    2023/10/18 by Xiao, Jian-Ci · 1 citation
    #28A78 #28A80 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Metric Geometry (math.MG)

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