Patricia Alonso Ruiz

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All published works

Action	Title	Year	Authors
+ PDF Chat	Fractional Sobolev embeddings and algebra property: A dyadic view	2024	Patricia Alonso Ruiz Valentia Fragkiadaki
+ PDF Chat	Korevaar-Schoen $p$-energies and their $\Gamma$-limits on Cheeger spaces	2024	Patricia Alonso Ruiz Fabrice Baudoin
+ PDF Chat	Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies	2023	Patricia Alonso Ruiz Fabrice Baudoin
+ PDF Chat	Yet another heat semigroup characterization of BV functions on Riemannian manifolds	2023	Patricia Alonso Ruiz Fabrice Baudoin
+	From Strichartz Estimates to Differential Equations on Fractals	2023	Patricia Alonso Ruiz Michael Hinz Kasso A. Okoudjou Luke G. Rogers Alexander Teplyaev
+ PDF Chat	BV functions and fractional Laplacians on Dirichlet spaces	2023	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Oscillations of BV measures on nested fractals	2022	Patricia Alonso Ruiz Fabrice Baudoin
+	Minimal Gap in the Spectrum of the Sierpiński Gasket	2021	Patricia Alonso Ruiz
+ PDF Chat	Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates	2021	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Minimal gap in the spectrum of the Sierpinski gasket	2021	Patricia Alonso Ruiz
+ PDF Chat	Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces	2020	Patricia Alonso Ruiz Fabrice Baudoin
+ PDF Chat	Heat kernel analysis on diamond fractals	2020	Patricia Alonso Ruiz
+ PDF Chat	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces	2020	Patricia Alonso Ruiz Fabrice Baudoin
+	Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces	2020	Patricia Alonso Ruiz Fabrice Baudoin
+	Yet another heat semigroup characterization of BV functions on Riemannian manifolds	2020	Patricia Alonso Ruiz Fabrice Baudoin
+ PDF Chat	Analysis, Probability and Mathematical Physics on Fractals	2019	Patricia Alonso Ruiz Joe P. Chen Luke G. Rogers Robert S. Strichartz Alexander Teplyaev
+ PDF Chat	Analysis on hybrid fractals	2019	Patricia Alonso Ruiz Y. Chen Hua Gu Robert S. Strichartz Zhengzheng Zhou
+	Heat kernel analysis on diamond fractals	2019	Patricia Alonso Ruiz
+	BV functions and fractional Laplacians on Dirichlet spaces	2019	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates	2019	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Explicit Formulas for Heat Kernels on Diamond Fractals	2018	Patricia Alonso Ruiz
+ PDF Chat	Completely symmetric resistance forms on the stretched Sierpiński gasket	2018	Patricia Alonso Ruiz Uta Freiberg Jun Kigami
+	Canonical diffusions on the pattern spaces of aperiodic Delone sets	2018	Patricia Alonso Ruiz Michael Hinz Alexander Teplyaev Rodrigo Treviño
+	Analysis on hybrid fractals	2018	Patricia Alonso Ruiz Yuming Chen Haotian Gu Robert S. Strichartz Zirui Zhou
+	BV functions and Besov spaces associated with Dirichlet spaces	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke Rogers Nageswari Shanmugalingam Alexander Teplyaev
+	Entropy-based Inhomogeneity Detection in Fiber Materials	2017	Patricia Alonso Ruiz Evgeny Spodarev
+ PDF Chat	Power dissipation in fractal Feynman-Sierpinski AC circuits	2017	Patricia Alonso Ruiz
+ PDF Chat	Estimation of entropy for Poisson marked point processes	2017	Patricia Alonso Ruiz Evgeny Spodarev
+ PDF Chat	Weyl asymptotics for Hanoi attractors	2016	Patricia Alonso Ruiz Uta Freiberg
+ PDF Chat	The limit theorem for maximum of partial sums of exchangeable random variables	2016	Patricia Alonso Ruiz Alexander Rakitko
+ PDF Chat	Energy and Laplacian on Hanoi-type fractal quantum graphs	2016	Patricia Alonso Ruiz Daniel J. Kelleher Alexander Teplyaev
+	Completely Symmetric Resistance Forms on the Stretched Sierpinski Gasket	2016	Patricia Alonso Ruiz Uta Freiberg Jun Kigami
+	Entropy-based inhomogeneity detection in porous media	2016	Patricia Alonso Ruiz Evgeny Spodarev
+	The limit theorem for maximum of partial sums of exchangeable random variables	2015	Patricia Alonso Ruiz Alexander Rakitko
+	The limit theorem for maximum of partial sums of exchangeable random variables	2015	Patricia Alonso Ruiz Alexander Rakitko
+	Dirichlet forms on non-self-similar fractals: Hanoi attractors	2014	Patricia Alonso Ruiz Uta Freiberg
+	Dirichlet forms on non self-similar sets : Hanoi attractors and the Sierpiński gasket	2013	Patricia Alonso Ruiz
+	Weyl asymptotics for Hanoi attractors	2013	Patricia Alonso Ruiz Uta Freiberg

Common Coauthors

Coauthor	Papers Together
Fabrice Baudoin	19
Alexander Teplyaev	15
Nageswari Shanmugalingam	11
Li Chen	11
Luke G. Rogers	10
Uta Freiberg	5
Luke Rogers	3
Robert S. Strichartz	3
Alexander Rakitko	3
Evgeny Spodarev	3
Jun Kigami	2
Michael Hinz	2
Rodrigo Treviño	1
Valentia Fragkiadaki	1
Kasso A. Okoudjou	1
Zirui Zhou	1
Zhengzheng Zhou	1
Y. Chen	1
Daniel J. Kelleher	1
Joe P. Chen	1
Yuming Chen	1
Hua Gu	1
Haotian Gu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Brownian motion on the Sierpinski gasket	1988	Martin T. Barlow Edwin Perkins	9
+	Spectral asymptotics for Laplacians on self-similar sets	2009	Naotaka Kajino	8
+	Heat kernel characterisation of Besov-Lipschitz spaces on metric measure spaces	2009	Katarzyna Pietruska-Pałuba	8
+ PDF Chat	Dirichlet Forms on Fractals and Products of Random Matrices	1989	Shigeo Kusuoka	8
+	Resistance forms, quasisymmetric maps and heat kernel estimates	2011	Jun Kigami	8
+	Analysis and Geometry of Markov Diffusion Operators	2013	Dominique Bakry Ivan Gentil Michel Ledoux	7
+	What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals	1999	Oren Ben-Bassat Robert S. Strichartz Alexander Teplyaev	7
+ PDF Chat	Potential spaces on fractals	2005	Jiaxin Hu Martina Zähle	7
+	Dirichlet Forms and Symmetric Markov Processes	2010	Masatoshi Fukushima Yōichi Ōshima Masayoshi Takeda	7
+	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev	7
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen	7
+	Diffusions on fractals	1998	Martin T. Barlow	7
+ PDF Chat	Stability of parabolic Harnack inequalities	2003	Martin T. Barlow Richard F. Bass	7
+ PDF Chat	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev	6
+ PDF Chat	Brownian motion on nested fractals	1990	Tom Lindstrøm	6
+ PDF Chat	Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals	1993	Jun Kigami Michel L. Lapidus	6
+ PDF Chat	Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure	2008	Alexander Teplyaev	6
+	Symmetric Markov Processes, Time Change, and Boundary Theory	2011	Zhen-Qing Chen 正俊福島	6
+ PDF Chat	Energy and Laplacian on Hanoi-type fractal quantum graphs	2016	Patricia Alonso Ruiz Daniel J. Kelleher Alexander Teplyaev	6
+	ANALYSIS ON FRACTALS (Cambridge Tracts in Mathematics 143) <i>By</i> J<scp>UN</scp> K<scp>IGAMI</scp>: 226 pp., £35.00, <scp>ISBN</scp> 0-521-79321-1 (Cambridge University Press, 2001). LECTURES ON ANALYSIS ON METRIC SPACES (Universitext) <i>By</i> J<scp>UHA</scp> H<scp>EINONEN</scp>: 140 pp., £27.00, <scp>ISBN</scp> 0-387-95104-0 (Springer, New York, 2001).	2002	K. J. Falconer	6
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	6
+	Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs	2017	Fabrice Baudoin Daniel J. Kelleher	6
+	A fractal quantum mechanical model with Coulomb potential	2008	Robert S. Strichartz	5
+	OFF-DIAGONAL HEAT KERNEL LOWER BOUNDS WITHOUT POINCARÉ	2003	Thierry Coulhon	5
+ PDF Chat	Fractafolds based on the Sierpinski gasket and their spectra	2003	Robert S. Strichartz	5
+	Heat kernel and Lipschitz–Besov spaces	2014	Alexander Grigor’yan Liguang Liu	5
+ PDF Chat	Sobolev spaces and harmonic maps for metric space targets	1993	Nicholas J. Korevaar Richard Schoen	5
+	Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev	5
+	Heat kernels on metric measure spaces and an application to semilinear elliptic equations	2003	Alexander Grigor’yan Jiaxin Hu Ka‐Sing Lau	5
+	Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces	2013	Michael Hinz Michael Röckner Alexander Teplyaev	5
+ PDF Chat	Sobolev inequalities in disguise	1995	Dominique Bakry Thierry Coulhon Michel Ledoux Laurent Saloff‐Coste	5
+ PDF Chat	Harmonic calculus on p.c.f.\ self-similar sets	1993	Jun Kigami	5
+	Isoperimetry and Gaussian analysis	1996	Michel Ledoux	5
+	Functions of bounded variation on “good” metric spaces	2003	Michele Miranda	5
+	Analysis on products of fractals	2004	Robert S. Strichartz	5
+	Analysis on Fractals	2009	Jun Kigami	5
+	BV functions and fractional Laplacians on Dirichlet spaces	2019	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev	5
+ PDF Chat	FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPS	2012	Daniel J. Kelleher Benjamin Steinhurst C.‐M. Michael Wong	4
+	Aspects of Sobolev-Type Inequalities	2001	Laurent Saloff‐Coste	4
+ PDF Chat	Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \infty)$ metric measure spaces	2013	Giuseppe Savaré	4
+ PDF Chat	Metric and spectral triples for Dirichlet and resistance forms	2015	Michael Hinz Daniel J. Kelleher Alexander Teplyaev	4
+	Partial differential equations on products of Sierpinski gaskets	2007	Brian Bockelman Robert S. Strichartz	4
+	Transition density estimates for Brownian motion on affine nested fractals	1994	Pat Fitzsimmons Ben Hambly Takashi Kumagai	4
+	Interpolation properties of Besov spaces defined on metric spaces	2010	Амиран Гогатишвили Pekka Koskela Nageswari Shanmugalingam	4
+ PDF Chat	Brownian Motion and Harmonic Analysis on Sierpinski Carpets	1999	Martin T. Barlow Richard F. Bass	4
+	Some Properties of Laplacians on Fractals	1999	Robert S. Strichartz	4
+ PDF Chat	A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality	2013	Fabrice Baudoin Michel Bonnefont Nicola Garofalo	4
+ PDF Chat	Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioni	1954	Ennio De Giorgi	4
+	Dirichlet Forms, Poincaré Inequalities, and the Sobolev Spaces of Korevaar and Schoen	2004	Pekka Koskela Nageswari Shanmugalingam Jeremy T. Tyson	4
+ PDF Chat	Dirichlet forms on the Sierpiński gasket	2004	Robert A. Meyers Robert S. Strichartz Alexander Teplyaev	4