Energy and Laplacian on Hanoi-type fractal quantum graphs P Alonso-Ruiz, DJ Kelleher, A Teplyaev Journal of Physics A: Mathematical and Theoretical 49 (16), 165206, 2016 | 37 | 2016 |
Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities PA Ruiz, F Baudoin, L Chen, LG Rogers, N Shanmugalingam, A Teplyaev Journal of Functional Analysis 278 (11), 108459, 2020 | 35 | 2020 |
Explicit formulas for heat kernels on diamond fractals PA Ruiz Communications in Mathematical Physics 364 (3), 1305-1326, 2018 | 33 | 2018 |
Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates P Alonso-Ruiz, F Baudoin, L Chen, L Rogers, N Shanmugalingam, ... Calculus of Variations and Partial Differential Equations 59 (3), 1-32, 2020 | 32 | 2020 |
Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates P Alonso-Ruiz, F Baudoin, L Chen, L Rogers, N Shanmugalingam, ... Calculus of Variations and Partial Differential Equations 60 (5), 1-38, 2021 | 29 | 2021 |
Weyl asymptotics for Hanoi attractors PA Ruiz, UR Freiberg Forum Mathematicum 29 (5), 1003-1021, 2017 | 21 | 2017 |
Power dissipation in fractal Feynman-Sierpinski AC circuits P Alonso Ruiz Journal of Mathematical Physics 58 (7), 073503, 2017 | 21 | 2017 |
Completely symmetric resistance forms on the stretched Sierpiński gasket PA Ruiz, UR Freiberg, J Kigami Journal of Fractal Geometry 5 (3), 227-277, 2018 | 18 | 2018 |
Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces PA Ruiz, F Baudoin Journal of Mathematical Analysis and Applications 497 (2), 124899, 2021 | 14 | 2021 |
Hanoi attractors and the Sierpiński gasket P Alonso-Ruiz, UR Freiberg International Journal of Mathematical Modelling and Numerical Optimisation 3 …, 2012 | 14 | 2012 |
Heat kernel analysis on diamond fractals P Alonso Ruiz Stochastic Processes and their Applications 131, 2021 | 10 | 2021 |
Analysis on hybrid fractals P Alonso Ruiz, Y Chen, H Gu, RS Strichartz, Z Zhou arXiv preprint arXiv:1804.05434, 2018 | 9 | 2018 |
Estimation of entropy for Poisson marked point processes P Alonso-Ruiz, E Spodarev Advances in Applied Probability 49 (1), 258-278, 2017 | 7 | 2017 |
Canonical diffusions on the pattern spaces of aperiodic Delone sets P Alonso-Ruiz, M Hinz, A Teplyaev, R Treviño arXiv preprint arXiv:1801.08956, 2018 | 6 | 2018 |
Dirichlet forms on non self-similar sets: Hanoi attractors and the Sierpiński gasket P Alonso-Ruiz | 6 | 2013 |
Hanoi attractors and the Sierpinski gasket PA Ruiz, UR Freiberg Int. J. Math. Model. Numer. Optim 3 (4), 251-265, 2012 | 6 | 2012 |
Yet another heat semigroup characterization of BV functions on Riemannian manifolds PA Ruiz, F Baudoin arXiv preprint arXiv:2010.12131, 2020 | 4 | 2020 |
Entropy-based inhomogeneity detection in fiber materials PA Ruiz, E Spodarev Methodology and Computing in Applied Probability 20 (4), 1223-1239, 2018 | 4 | 2018 |
Dirichlet forms on non-self-similar fractals: Hanoi attractors P Alonso-Ruiz, UR Freiberg International Journal of Applied Nonlinear Science 1 (3), 247-274, 2014 | 4 | 2014 |
BV functions and fractional Laplacians on Dirichlet spaces P Alonso Ruiz, F Baudoin, L Chen, L Rogers, N Shanmugalingam, ... arXiv e-prints, arXiv: 1910.13330, 2019 | 3 | 2019 |